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index 0000000000..161b79fcd3
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diff --git a/research/filtered-native-kappa004/MANIFEST.json b/research/filtered-native-kappa004/MANIFEST.json
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diff --git a/research/filtered-native-kappa004/README.md b/research/filtered-native-kappa004/README.md
new file mode 100644
index 0000000000..0321bcc704
--- /dev/null
+++ b/research/filtered-native-kappa004/README.md
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+# Observer Limits and Physical Costs in Native Constructions
+
+This report offers tools and scoped findings for researchers trying to improve
+the integer-multiplication exponent saving κ. Its main contributions are ways
+to screen proposed reuse mechanisms, identify what a repair must change, and
+connect a local operator improvement to the full cost budget. No new κ is
+established.
+
+The work extends the recovered `filtered_native` packet. It combines exact
+phase-aware history analysis, an observer quotient with rational certificates,
+literal program-to-invoice checks, exploratory feedback searches, and a
+conditional arithmetic budget. The practical value is to make subsequent
+construction attempts more selective and easier to verify.
+
+The repository baseline at the pinned research snapshot was the conditional
+κ = 0.00302015 construction in [PR4470](https://github.com/CrocSwap/integer-mult-bounds/pull/4470).
+The findings are author-checked scoped research prepared for public review;
+they do not update the selected frontier. Sources are pinned to canonical `origin/main`
+`7c472563474e60185e6ca101a17622133d047e56`, dated 2026-10-23.
+
+At submission refresh, canonical main
+`1ec1119972c9aefe42525172d07b332fcff81cb4` selects the conditional
+[PR4610](https://github.com/CrocSwap/integer-mult-bounds/pull/4610) construction,
+independently audited in [PR5241](https://github.com/CrocSwap/integer-mult-bounds/pull/5241).
+The earlier baseline above is retained as research provenance. The two arithmetic
+dependencies used here are unchanged at that refresh. These results concern the
+pinned source words and do not establish a new exponent for the newer selection.
+
+## Findings researchers can use
+
+| Finding | Evidence | How it can guide another construction |
+|---|---|---|
+| Cheaper native execution changes the endpoint | Deleting eight H8 centers exposes a defect controlled by eight R modes | Carry the changed operator and its repair cost into the caller; the old target inventory cannot be credited automatically |
+| Unchanged-history snapshots lack a needed dense coefficient | All 2,965 distinct source-X physical terms have Clifford grade at most 8; the following thin query needs grade 9 at all 112 ports | Run a phase-aware support census before investing in a passive cache construction |
+| Simple end-only observers do not give a cheap repair in the tested families | Individually clean gathers cost lift rank mass 72 versus deleted mass 64; 204,291 two-frame pairs of total lift rank at most 8 are excluded exactly in the necessary quotient | Investigate earlier observer injection, more frames, or changed contacts; the excluded families can be screened out of future searches |
+| Gauge replay can agree while its cost inventory remains unbound | The pinned [PR5270](https://github.com/CrocSwap/integer-mult-bounds/pull/5270) literal reuses nine axes while its invoice credits fresh-stage targets through rank 153 | Bind every target and paid job to literal coordinates and chronology, in addition to checking operator equivalence |
+| Joint arithmetic can be evaluated before a full physical implementation | Exact interval and independent integer-root checks quantify the value of hypothetical center replacements | Use the budget to compare candidate repairs, then require endpoints, phases, helpers, ordinary work, and both complex/BIT branches before admitting an increased κ |
+
+These findings have different strengths. The support argument concerns a fixed
+whole-field macro grammar. The observer exclusions concern specified finite
+families in a necessary quotient. The MILP and active-feedback runs are search
+results. None gives a universal barrier to increasing κ.
+
+## A cheaper native word comes with a repair problem
+
+The recovered packet builds on the center-free coded-producer direction in
+[PR4929](https://github.com/CrocSwap/integer-mult-bounds/pull/4929). It uses
+
+`P = RᵀR/56`, `A = I − 14P`, `C_F = A + (I−A)F`.
+
+Deleting eight H8 centers reduces the paid inventory, but changes the native
+endpoint. The defect factors through the eight R modes. This gives a concrete
+repair target: recover or otherwise handle those modes while preserving the
+arbitrary original inputs and independent helper outputs.
+
+For another researcher, the useful interface is the changed operator together
+with its complete input/output contract. A proposed observer, inverse code, or
+caller should be checked against that interface before its rank savings are
+included in an exponent calculation. A repair may consume the entire apparent
+saving.
+
+The predecessor's paired inverse codes, causal companion, even-head resolvent,
+and encoded-mode controls remain verified components worth reusing. They do
+not discharge the missing odd-Q ordinary-caller obligation. Algebraic inverses
+and physical implementations must be connected through the actual phase and
+frame conventions.
+
+## Screen passive reuse with physical support
+
+`history_grade_probe.py` replays all 632 independent original amplitudes,
+including 408 independent helpers, using the actual phase-sensitive K_G
+operators and conjugate raw-dual canonical frames. It checks the original
+endpoints and owned-zero return, and observes 21,480 row snapshots.
+
+Among 2,965 distinct source-X physical terms, every Clifford grade is at most
+8. A snapshot has at most 24 source-X terms in total. By contrast, the X
+coefficient needed for the following thin query has grade 9 at each of the
+112 ports.
+
+For column width f, a grade-r Clifford coefficient has at most `2^(rf)` nonzero
+entries per row. Monomial recoding preserves row support. A sum of M recoded
+snapshots therefore has row support at most `24M·2^(8f)` in a fixed X input
+column, whereas the required coefficient has exactly `2^(9f)` nonzeros per
+row. Equality requires `24M ≥ 2^f`.
+
+If an expression is built from snapshot inputs using L whole-field binary
+additions, it has at most `2^L` leaves, giving `L ≥ f − log₂24`. A fixed finite
+number of these operations cannot supply the following thin query at every
+width.
+
+**Research implication.** For this unchanged history, passive whole-field
+linear combinations and monomial recodings cannot provide that query using a
+constant number of whole-field operations. A candidate must change an assumption
+of this argument, for example by using a new paid provider, a changed native word, or
+a different operation grammar. The argument does not bound arbitrary coordinate
+algorithms or multiplication. It also does not exclude every form of cache
+reuse.
+
+The reusable technique is a **physical grade census followed by a support
+comparison**. A census based only on the binary incidence matrix G would not
+justify this conclusion; the K_G phase and raw-dual frame conventions matter.
+The implementation can serve as a template for screening a different history,
+with its own endpoint checks and coefficient census.
+
+A separate bounded alignment screen, `snapshot_probe.py`, considers 424
+rank-eight snapshot arrivals and native-word recodings. Each port has three
+independent eligible candidates; none recovers the target at any of the 112
+ports. Native-Y exit positive controls pass. This exact result is limited to
+that recoding family and does not exclude additional group relations or more
+general ordinary recodings.
+
+## Use observer quotients to test repair ideas cheaply
+
+The changed, center-free backward word can first be examined in the necessary
+specialization `K_G |0⟩ = |0⟩`. The observer probe keeps all 632 original
+amplitudes and the 408 independent helpers, checks the changed endpoint in
+this specialization, and grants full-frame snapshots as free side information.
+That side-information span has rank 482; eight R-mode directions remain missing.
+
+This relaxation supports inexpensive tests before attempting a full physical
+operator identity. Its exact subspaces are exported in
+`evidence/observer-subspaces.json.gz` for other searches. A quotient-level
+candidate still needs phase-aware physical recovery, chronological access,
+helper preservation, and a complete invoice.
+
+### Individually clean observations
+
+`observer_probe.py` examines 1,001 non-full contact frames. At ranks 1–8, no
+same-frame scalar gather individually supplies a pure missing-mode combination
+modulo the free side information. Ground-frame gathers recover all eight modes,
+but their full lifts cost rank mass `8·9 = 72`, exceeding the removed mass 64.
+
+This exact optimum applies to the individually clean lift family. It does not
+settle jointly decoded noisy observations. Its practical use is to prevent
+repeating a clean-observer search over the same contacts without changing the
+model.
+
+### Two noisy observations, with exact certificates
+
+`exact_pair_check.py --maximum-cost 8` examines 204,291 pairs from 871 contact
+frames, allowing arbitrary same-frame gathers and a summed full-lift rank at
+most eight. None yields a missing-mode direction in the necessary quotient.
+
+For 202,749 pairs, a full-rank minor over F65537 proves that the nuisance
+projection is injective over Q. The remaining 1,542 pairs are checked by exact
+rational elimination. A deliberately planted joint-noise cancellation passes
+the positive control. The earlier budget-four calculation is retained too.
+
+**Research implication.** Two-frame repairs within this cost budget are
+excluded in this family. Researchers can turn to other timings, three or more
+frames, larger budgets, or changed sources without treating those possibilities
+as already ruled out. The modular-minor shortcut plus rational fallback is also
+a reusable way to turn a fast modular screen into an exact finite certificate.
+A negative modular search alone would not provide that certificate.
+
+### Wider joint searches remain exploratory
+
+`observer_milp.py` searches 986 frame selectors and 2,312 continuous row
+coefficients. With coefficient bound 32 and total lift rank budget eight,
+HiGHS reports infeasible for each of the eight target modes. A budget-nine
+positive control reconstructs over Q.
+
+This is bounded numerical search evidence. It can help choose follow-up
+experiments, but it is not an unrestricted rational infeasibility proof and
+does not extend the exact two-frame exclusion to arbitrary collections of
+frames. The retained solver inputs and subspaces make that boundary explicit.
+
+## Bind literal programs to the claimed rank inventory
+
+`repeated_head_probe.py` provides a concrete review example at
+[PR5270](https://github.com/CrocSwap/integer-mult-bounds/pull/5270), pinned head
+`df9e5037587ce0cfbd23c2a944515526b301e820`. Its two source files are retained
+byte-for-byte in `inputs/`. The probe traces the actual listing and dispatch
+with empty payloads.
+
+Every LETTER and IDLE uses the same `range(9)`, while the invoice credits fresh
+eight-axis stage blocks and a maximum target rank of 153. The p19 middle IDLEs
+execute 4,032 rank-nine field jobs, whereas their thinned invoice contribution
+is zero. Equality to a reference using the same reused head demonstrates gauge
+equivalence; it does not establish those target ranks or paid-job omissions.
+
+There is a separate adaptation cost: turning native D into R = DQ by the
+direct two-bank post-Q recipe costs 4,256 H1 jobs at p19. Even a relaxation
+that grants H9 main targets and discards every idle charge has rank-mass surplus
+−2,240 after that direct upgrade. This applies to that explicit recipe, not
+every possible redesigned caller.
+
+**Research implication.** A supplier certificate should connect its literal
+coordinate maps, its target operators, and every charged operation. Agreement
+between two programs sharing the same coordinate reuse does not establish an
+independent-stage invoice. This check is useful for other controller proposals,
+including ones with different pair counts or stronger headline savings.
+
+## Explore feedback while retaining its physical obligations
+
+The active-feedback experiments allow selected-mode controls on six original
+banks plus one or two owned scratch banks. They test 128 width-two sectors with
+seven independent stage signs and one filtered stage. Three starts with one
+scratch bank and three with two banks plus internal selected feedback found no
+numerical hit.
+
+These runs do not exclude feedback repair. Their reusable contribution is a
+small discovery model and recorded controls/residuals for a mechanism that is
+broader than passive observation. A promising continuation would change the
+physical contacts or observer timing, reconstruct any numerical hit over Q,
+and then replay every arbitrary input column with the actual phases. Owned
+restoration and ordinary work remain part of the cost contract.
+
+Relevant primary literature suggests directions without supplying that
+compilation automatically:
+
+- [Vinciguerra, *An Operator Approach to Register Programs for Catalytic Computing* (2026)](https://arxiv.org/abs/2609.18692)
+ treats closed operator loops and restoration, motivating actively written
+ owned-bank feedback. Its register operations still need a compilation into
+ the repository's Gaussian ABI and cost model.
+- [Alekseev, Filmus, Mertz, Smal and Vinciguerra, *Catalytic Computing and Register Programs Beyond Log-Depth* (MFCS 2025)](https://drops.dagstuhl.de/storage/00lipics/lipics-vol345-mfcs2025/html/LIPIcs.MFCS.2025.6/LIPIcs.MFCS.2025.6.html)
+ provides a restoration/register-program perspective relevant to that search.
+- [Alman and Li, *Kronecker Powers, Orthogonal Vectors, and the Asymptotic Spectrum* (2025)](https://arxiv.org/abs/2509.14489)
+ is relevant to spectrum and depth-two rebalancing obstructions. Such results
+ do not settle this changed operator endpoint or its tape model.
+
+## Translate a local saving into a joint κ budget
+
+For a proposed saving κ, the raw inventory test compares
+
+`M(κ) = Σ_r T_r r^(1−κ) − Σ_r P_r r^(1−κ)`.
+
+This is a useful first arithmetic screen once the target inventory T and paid
+inventory P are justified. If a fixed caller has sixteen backward invocations,
+replacing s rank-b centers per backward call by one H1 each increases this raw
+margin by `16s·(b^(1−κ) − 1)`, provided every endpoint and helper target is
+preserved. A changed endpoint requires a new inventory or a separately charged
+repair before this formula can be used.
+
+`acceptance_budget.py` connects a hypothetical local replacement to higher
+moments, both charged tails, a logarithmic compiler, an ordinary BIT cover,
+and 54 strict plus four functional outer checks. `independent_budget_check.py`
+uses integer roots to check the raw margins independently of the retained
+logarithm/exponential engine. The retained scripts implement one fixed
+conditional invoice; they are reference implementations to adapt for another
+candidate, not a general parameter-search interface. Their evidence records
+retain the numerical parameters and unfulfilled implementation obligations.
+
+**Research implication.** Compare repair ideas using their full marginal cost,
+then track which of the complex and BIT branches limits the joint bound. A
+complex improvement may leave the joint κ unchanged when the BIT branch is
+insufficient. Favorable moments alone do not establish a new supplier: the
+physical-word, arbitrary-input, phase/all-width, helper, ordinary-work, and
+precision/tape obligations remain separate.
+
+## Related PRs and where these findings fit
+
+| PR | Relevant contribution | Connection to this report |
+|---|---|---|
+| [PR4929](https://github.com/CrocSwap/integer-mult-bounds/pull/4929) | Center-free native producer with an explicit rank-eight port code | Supplies the changed-endpoint setting; deleting centers leaves a mode-recovery obligation |
+| [PR4933](https://github.com/CrocSwap/integer-mult-bounds/pull/4933) | Phase-correct normalizers and a coded p16 caller | Provides physical conventions for distinguishing scalar owner mixing from the actual port code |
+| [PR4940](https://github.com/CrocSwap/integer-mult-bounds/pull/4940) | Coded reverse stages and inverse-code query shears | A caller direction whose scalar-to-physical substitution needs explicit checking |
+| [PR5036](https://github.com/CrocSwap/integer-mult-bounds/pull/5036) | First physical substitution gap for the coded reverse controller | Shows why a scalar inverse recipe cannot be assumed to realize the physical thin source |
+| [PR5270](https://github.com/CrocSwap/integer-mult-bounds/pull/5270) | Materialized p19 coded-reverse word | The pinned literal-to-invoice case study above; the findings concern the inspected head |
+| [PR5283](https://github.com/CrocSwap/integer-mult-bounds/pull/5283) | Gaussian cache reuse for cross-frame ADDs and paid history | Related cache work; this report's support argument specifically concerns the following thin query |
+| [PR4760](https://github.com/CrocSwap/integer-mult-bounds/pull/4760) | Compact partial helpers for an ordinary BIT supplier | A complementary branch improvement to consider when evaluating the joint budget |
+
+The BIT minimum-completion experiment in
+`research/kappa-rebuild/bit/pr589_minimum_completion.py` also examines the native
+primitive from [PR589](https://github.com/CrocSwap/integer-mult-bounds/pull/589).
+Its local mass saving is lost to its direct global-Q repairs, illustrating why
+adaptation costs must accompany a proposed local gain.
+
+These links identify relevant contributions and review questions. Their
+publication or archival integration does not itself admit a new supplier.
+The source pins and scope of each result still govern its use. In particular,
+the following-thin-query exclusion here should not be transferred to every
+cache task studied in [PR5283](https://github.com/CrocSwap/integer-mult-bounds/pull/5283).
+The related [retained-snapshot investigation](https://github.com/CrocSwap/integer-mult-bounds/discussions/5355)
+reports finite clean-word cache screens. This package adds the phase-aware
+following-query support argument and changed-source observer quotient; it does
+not claim those earlier cache screens as new findings.
+
+## Open next questions
+
+1. **Can an observer be injected before later paid jobs?** The end-only families
+ above leave this route open. First attach a selected observer before a later
+ climb and replay all 632 arbitrary columns with actual K_G phases. Progress
+ requires a chronological repair word and its complete paid/ordinary inventory.
+2. **Which BIT changes would complement a proposed complex gain?** First build
+ the analogous changed-source DAG and lower-frame observability data for BIT,
+ then evaluate both branches against the candidate joint saving. Progress
+ requires an endpoint-preserving BIT program and a charged account of global
+ Q adaptation; local mass savings alone have already proved misleading.
+3. **Can a broader observer or feedback grammar recover the missing modes?**
+ First test changed contacts, earlier timing, or more than two contact frames
+ in the exported quotient. A surviving candidate needs rational reconstruction,
+ full phase-aware replay, ownership restoration, and an ordinary-work budget.
+ The numerical no-hit runs do not resolve this question.
+4. **Can a coded-reverse caller use genuinely fresh stage coordinates?** First
+ list the coordinate map for every LETTER and IDLE and price D-to-R adaptation.
+ Progress requires a physical fresh-stage word and a target/paid recount;
+ a same-head gauge comparison does not discharge those obligations.
+
+## Sources and reproduction
+
+The original recovered archive is retained unchanged:
+
+`integer_mult_filtered_native_implementation_2026-10-23.tar.gz`
+
+SHA-256 `595f988e748b1f3b25e7525a226da173966e4278a70f511b2919245cec1b45f7`.
+Its 359 source-manifest entries and fourteen focused checks passed. The replay
+transcript is `evidence/predecessor-replay.log`. Exact sources, environments,
+commands, and limitations are recorded in `SOURCES.json`; the evidence index is
+`RESULTS.json`. The selected baseline and its review were resolved through
+`certificates/selected-result.json` at the pinned snapshot.
+
+Python 3.11 with NumPy 1.26.4 and SciPy 1.15.3 was used. Core continuation checks
+use the standard library; predecessor replay and optional MILP require the
+listed numerical dependencies. Optional feedback optimization used PyTorch
+`2.8.0.dev20250501` and is time-limited and non-deterministic.
+
+The unchanged predecessor archive is included at
+`inputs/original-packet.tar.gz`, with its original license and notices inside.
+This archive-based package can be replayed from a clean checkout without local
+download files. From the repository root:
+
+```sh
+python3 -B research/filtered-native-kappa004/verify_continuation.py
+```
+
+From the standalone export, which includes the original archive, the unchanged
+arithmetic dependencies, and the license:
+
+```sh
+python3 -B research/filtered-native-kappa004/verify_continuation.py --replay-predecessor
+```
+
+An explicit `--archive /absolute/path/to/archive.tar.gz` can select another copy
+of the same pinned predecessor bytes. The verifier authenticates source bytes,
+extracts into temporary directories,
+and compares recomputed scientific outputs with the saved evidence, ignoring
+elapsed times. `--with-milp` additionally reruns the bounded solver screens and
+their positive control. The optimization searches are excluded from default
+verification. No Lean, Docker, full repository suite, or theorem-level proof
+replay was run. Existing technical paths retain their original names so the
+recorded replay commands remain usable.
+
+The HTML report is generated from this README and `report.css`. Regenerate it
+with `python3 -B research/filtered-native-kappa004/render_report.py`; the
+document-only dependency is `markdown-it-py==3.0.0`.
+
+## Credit and scope
+
+The recovered filtered-native packet and its pinned upstream sources retain
+all attribution and notices. The interval/compiler source credits zxv and
+substantial OpenAI Codex assistance; mixed-target flow credits Jacob Alan
+Sussman's Theorem 1G; the retained outer/native/compiler/cover authors keep
+their credit. [PR5270](https://github.com/CrocSwap/integer-mult-bounds/pull/5270) source files retain their original notices unchanged.
+New continuation code and this report were prepared with substantial OpenAI
+Codex assistance under Apache-2.0. The report supplies reusable research findings
+and explicitly scoped evidence, with no claim of a new multiplication theorem
+or scientific approval of an external draft.
diff --git a/research/filtered-native-kappa004/REPORT.html b/research/filtered-native-kappa004/REPORT.html
new file mode 100644
index 0000000000..215adb93b7
--- /dev/null
+++ b/research/filtered-native-kappa004/REPORT.html
@@ -0,0 +1,358 @@
+
Observer Limits and Physical Costs in Native ConstructionsObserver Limits and Physical Costs in Native Constructions
+This report offers tools and scoped findings for researchers trying to improve
+the integer-multiplication exponent saving κ. Its main contributions are ways
+to screen proposed reuse mechanisms, identify what a repair must change, and
+connect a local operator improvement to the full cost budget. No new κ is
+established.
+The work extends the recovered filtered_native packet. It combines exact
+phase-aware history analysis, an observer quotient with rational certificates,
+literal program-to-invoice checks, exploratory feedback searches, and a
+conditional arithmetic budget. The practical value is to make subsequent
+construction attempts more selective and easier to verify.
+The repository baseline at the pinned research snapshot was the conditional
+κ = 0.00302015 construction in PR4470.
+The findings are author-checked scoped research prepared for public review;
+they do not update the selected frontier. Sources are pinned to canonical origin/main
+7c472563474e60185e6ca101a17622133d047e56, dated 2026-10-23.
+At submission refresh, canonical main
+1ec1119972c9aefe42525172d07b332fcff81cb4 selects the conditional
+PR4610 construction,
+independently audited in PR5241.
+The earlier baseline above is retained as research provenance. The two arithmetic
+dependencies used here are unchanged at that refresh. These results concern the
+pinned source words and do not establish a new exponent for the newer selection.
+Findings researchers can use
+
+
+
+| Finding |
+Evidence |
+How it can guide another construction |
+
+
+
+
+| Cheaper native execution changes the endpoint |
+Deleting eight H8 centers exposes a defect controlled by eight R modes |
+Carry the changed operator and its repair cost into the caller; the old target inventory cannot be credited automatically |
+
+
+| Unchanged-history snapshots lack a needed dense coefficient |
+All 2,965 distinct source-X physical terms have Clifford grade at most 8; the following thin query needs grade 9 at all 112 ports |
+Run a phase-aware support census before investing in a passive cache construction |
+
+
+| Simple end-only observers do not give a cheap repair in the tested families |
+Individually clean gathers cost lift rank mass 72 versus deleted mass 64; 204,291 two-frame pairs of total lift rank at most 8 are excluded exactly in the necessary quotient |
+Investigate earlier observer injection, more frames, or changed contacts; the excluded families can be screened out of future searches |
+
+
+| Gauge replay can agree while its cost inventory remains unbound |
+The pinned PR5270 literal reuses nine axes while its invoice credits fresh-stage targets through rank 153 |
+Bind every target and paid job to literal coordinates and chronology, in addition to checking operator equivalence |
+
+
+| Joint arithmetic can be evaluated before a full physical implementation |
+Exact interval and independent integer-root checks quantify the value of hypothetical center replacements |
+Use the budget to compare candidate repairs, then require endpoints, phases, helpers, ordinary work, and both complex/BIT branches before admitting an increased κ |
+
+
+
+These findings have different strengths. The support argument concerns a fixed
+whole-field macro grammar. The observer exclusions concern specified finite
+families in a necessary quotient. The MILP and active-feedback runs are search
+results. None gives a universal barrier to increasing κ.
+A cheaper native word comes with a repair problem
+The recovered packet builds on the center-free coded-producer direction in
+PR4929. It uses
+P = RᵀR/56, A = I − 14P, C_F = A + (I−A)F.
+Deleting eight H8 centers reduces the paid inventory, but changes the native
+endpoint. The defect factors through the eight R modes. This gives a concrete
+repair target: recover or otherwise handle those modes while preserving the
+arbitrary original inputs and independent helper outputs.
+For another researcher, the useful interface is the changed operator together
+with its complete input/output contract. A proposed observer, inverse code, or
+caller should be checked against that interface before its rank savings are
+included in an exponent calculation. A repair may consume the entire apparent
+saving.
+The predecessor's paired inverse codes, causal companion, even-head resolvent,
+and encoded-mode controls remain verified components worth reusing. They do
+not discharge the missing odd-Q ordinary-caller obligation. Algebraic inverses
+and physical implementations must be connected through the actual phase and
+frame conventions.
+Screen passive reuse with physical support
+history_grade_probe.py replays all 632 independent original amplitudes,
+including 408 independent helpers, using the actual phase-sensitive K_G
+operators and conjugate raw-dual canonical frames. It checks the original
+endpoints and owned-zero return, and observes 21,480 row snapshots.
+Among 2,965 distinct source-X physical terms, every Clifford grade is at most
+8. A snapshot has at most 24 source-X terms in total. By contrast, the X
+coefficient needed for the following thin query has grade 9 at each of the
+112 ports.
+For column width f, a grade-r Clifford coefficient has at most 2^(rf) nonzero
+entries per row. Monomial recoding preserves row support. A sum of M recoded
+snapshots therefore has row support at most 24M·2^(8f) in a fixed X input
+column, whereas the required coefficient has exactly 2^(9f) nonzeros per
+row. Equality requires 24M ≥ 2^f.
+If an expression is built from snapshot inputs using L whole-field binary
+additions, it has at most 2^L leaves, giving L ≥ f − log₂24. A fixed finite
+number of these operations cannot supply the following thin query at every
+width.
+Research implication. For this unchanged history, passive whole-field
+linear combinations and monomial recodings cannot provide that query using a
+constant number of whole-field operations. A candidate must change an assumption
+of this argument, for example by using a new paid provider, a changed native word, or
+a different operation grammar. The argument does not bound arbitrary coordinate
+algorithms or multiplication. It also does not exclude every form of cache
+reuse.
+The reusable technique is a physical grade census followed by a support
+comparison. A census based only on the binary incidence matrix G would not
+justify this conclusion; the K_G phase and raw-dual frame conventions matter.
+The implementation can serve as a template for screening a different history,
+with its own endpoint checks and coefficient census.
+A separate bounded alignment screen, snapshot_probe.py, considers 424
+rank-eight snapshot arrivals and native-word recodings. Each port has three
+independent eligible candidates; none recovers the target at any of the 112
+ports. Native-Y exit positive controls pass. This exact result is limited to
+that recoding family and does not exclude additional group relations or more
+general ordinary recodings.
+Use observer quotients to test repair ideas cheaply
+The changed, center-free backward word can first be examined in the necessary
+specialization K_G |0⟩ = |0⟩. The observer probe keeps all 632 original
+amplitudes and the 408 independent helpers, checks the changed endpoint in
+this specialization, and grants full-frame snapshots as free side information.
+That side-information span has rank 482; eight R-mode directions remain missing.
+This relaxation supports inexpensive tests before attempting a full physical
+operator identity. Its exact subspaces are exported in
+evidence/observer-subspaces.json.gz for other searches. A quotient-level
+candidate still needs phase-aware physical recovery, chronological access,
+helper preservation, and a complete invoice.
+Individually clean observations
+observer_probe.py examines 1,001 non-full contact frames. At ranks 1–8, no
+same-frame scalar gather individually supplies a pure missing-mode combination
+modulo the free side information. Ground-frame gathers recover all eight modes,
+but their full lifts cost rank mass 8·9 = 72, exceeding the removed mass 64.
+This exact optimum applies to the individually clean lift family. It does not
+settle jointly decoded noisy observations. Its practical use is to prevent
+repeating a clean-observer search over the same contacts without changing the
+model.
+Two noisy observations, with exact certificates
+exact_pair_check.py --maximum-cost 8 examines 204,291 pairs from 871 contact
+frames, allowing arbitrary same-frame gathers and a summed full-lift rank at
+most eight. None yields a missing-mode direction in the necessary quotient.
+For 202,749 pairs, a full-rank minor over F65537 proves that the nuisance
+projection is injective over Q. The remaining 1,542 pairs are checked by exact
+rational elimination. A deliberately planted joint-noise cancellation passes
+the positive control. The earlier budget-four calculation is retained too.
+Research implication. Two-frame repairs within this cost budget are
+excluded in this family. Researchers can turn to other timings, three or more
+frames, larger budgets, or changed sources without treating those possibilities
+as already ruled out. The modular-minor shortcut plus rational fallback is also
+a reusable way to turn a fast modular screen into an exact finite certificate.
+A negative modular search alone would not provide that certificate.
+Wider joint searches remain exploratory
+observer_milp.py searches 986 frame selectors and 2,312 continuous row
+coefficients. With coefficient bound 32 and total lift rank budget eight,
+HiGHS reports infeasible for each of the eight target modes. A budget-nine
+positive control reconstructs over Q.
+This is bounded numerical search evidence. It can help choose follow-up
+experiments, but it is not an unrestricted rational infeasibility proof and
+does not extend the exact two-frame exclusion to arbitrary collections of
+frames. The retained solver inputs and subspaces make that boundary explicit.
+Bind literal programs to the claimed rank inventory
+repeated_head_probe.py provides a concrete review example at
+PR5270, pinned head
+df9e5037587ce0cfbd23c2a944515526b301e820. Its two source files are retained
+byte-for-byte in inputs/. The probe traces the actual listing and dispatch
+with empty payloads.
+Every LETTER and IDLE uses the same range(9), while the invoice credits fresh
+eight-axis stage blocks and a maximum target rank of 153. The p19 middle IDLEs
+execute 4,032 rank-nine field jobs, whereas their thinned invoice contribution
+is zero. Equality to a reference using the same reused head demonstrates gauge
+equivalence; it does not establish those target ranks or paid-job omissions.
+There is a separate adaptation cost: turning native D into R = DQ by the
+direct two-bank post-Q recipe costs 4,256 H1 jobs at p19. Even a relaxation
+that grants H9 main targets and discards every idle charge has rank-mass surplus
+−2,240 after that direct upgrade. This applies to that explicit recipe, not
+every possible redesigned caller.
+Research implication. A supplier certificate should connect its literal
+coordinate maps, its target operators, and every charged operation. Agreement
+between two programs sharing the same coordinate reuse does not establish an
+independent-stage invoice. This check is useful for other controller proposals,
+including ones with different pair counts or stronger headline savings.
+Explore feedback while retaining its physical obligations
+The active-feedback experiments allow selected-mode controls on six original
+banks plus one or two owned scratch banks. They test 128 width-two sectors with
+seven independent stage signs and one filtered stage. Three starts with one
+scratch bank and three with two banks plus internal selected feedback found no
+numerical hit.
+These runs do not exclude feedback repair. Their reusable contribution is a
+small discovery model and recorded controls/residuals for a mechanism that is
+broader than passive observation. A promising continuation would change the
+physical contacts or observer timing, reconstruct any numerical hit over Q,
+and then replay every arbitrary input column with the actual phases. Owned
+restoration and ordinary work remain part of the cost contract.
+Relevant primary literature suggests directions without supplying that
+compilation automatically:
+
+Translate a local saving into a joint κ budget
+For a proposed saving κ, the raw inventory test compares
+M(κ) = Σ_r T_r r^(1−κ) − Σ_r P_r r^(1−κ).
+This is a useful first arithmetic screen once the target inventory T and paid
+inventory P are justified. If a fixed caller has sixteen backward invocations,
+replacing s rank-b centers per backward call by one H1 each increases this raw
+margin by 16s·(b^(1−κ) − 1), provided every endpoint and helper target is
+preserved. A changed endpoint requires a new inventory or a separately charged
+repair before this formula can be used.
+acceptance_budget.py connects a hypothetical local replacement to higher
+moments, both charged tails, a logarithmic compiler, an ordinary BIT cover,
+and 54 strict plus four functional outer checks. independent_budget_check.py
+uses integer roots to check the raw margins independently of the retained
+logarithm/exponential engine. The retained scripts implement one fixed
+conditional invoice; they are reference implementations to adapt for another
+candidate, not a general parameter-search interface. Their evidence records
+retain the numerical parameters and unfulfilled implementation obligations.
+Research implication. Compare repair ideas using their full marginal cost,
+then track which of the complex and BIT branches limits the joint bound. A
+complex improvement may leave the joint κ unchanged when the BIT branch is
+insufficient. Favorable moments alone do not establish a new supplier: the
+physical-word, arbitrary-input, phase/all-width, helper, ordinary-work, and
+precision/tape obligations remain separate.
+Related PRs and where these findings fit
+
+
+
+| PR |
+Relevant contribution |
+Connection to this report |
+
+
+
+
+| PR4929 |
+Center-free native producer with an explicit rank-eight port code |
+Supplies the changed-endpoint setting; deleting centers leaves a mode-recovery obligation |
+
+
+| PR4933 |
+Phase-correct normalizers and a coded p16 caller |
+Provides physical conventions for distinguishing scalar owner mixing from the actual port code |
+
+
+| PR4940 |
+Coded reverse stages and inverse-code query shears |
+A caller direction whose scalar-to-physical substitution needs explicit checking |
+
+
+| PR5036 |
+First physical substitution gap for the coded reverse controller |
+Shows why a scalar inverse recipe cannot be assumed to realize the physical thin source |
+
+
+| PR5270 |
+Materialized p19 coded-reverse word |
+The pinned literal-to-invoice case study above; the findings concern the inspected head |
+
+
+| PR5283 |
+Gaussian cache reuse for cross-frame ADDs and paid history |
+Related cache work; this report's support argument specifically concerns the following thin query |
+
+
+| PR4760 |
+Compact partial helpers for an ordinary BIT supplier |
+A complementary branch improvement to consider when evaluating the joint budget |
+
+
+
+The BIT minimum-completion experiment in
+research/kappa-rebuild/bit/pr589_minimum_completion.py also examines the native
+primitive from PR589.
+Its local mass saving is lost to its direct global-Q repairs, illustrating why
+adaptation costs must accompany a proposed local gain.
+These links identify relevant contributions and review questions. Their
+publication or archival integration does not itself admit a new supplier.
+The source pins and scope of each result still govern its use. In particular,
+the following-thin-query exclusion here should not be transferred to every
+cache task studied in PR5283.
+The related retained-snapshot investigation
+reports finite clean-word cache screens. This package adds the phase-aware
+following-query support argument and changed-source observer quotient; it does
+not claim those earlier cache screens as new findings.
+Open next questions
+
+- Can an observer be injected before later paid jobs? The end-only families
+above leave this route open. First attach a selected observer before a later
+climb and replay all 632 arbitrary columns with actual K_G phases. Progress
+requires a chronological repair word and its complete paid/ordinary inventory.
+- Which BIT changes would complement a proposed complex gain? First build
+the analogous changed-source DAG and lower-frame observability data for BIT,
+then evaluate both branches against the candidate joint saving. Progress
+requires an endpoint-preserving BIT program and a charged account of global
+Q adaptation; local mass savings alone have already proved misleading.
+- Can a broader observer or feedback grammar recover the missing modes?
+First test changed contacts, earlier timing, or more than two contact frames
+in the exported quotient. A surviving candidate needs rational reconstruction,
+full phase-aware replay, ownership restoration, and an ordinary-work budget.
+The numerical no-hit runs do not resolve this question.
+- Can a coded-reverse caller use genuinely fresh stage coordinates? First
+list the coordinate map for every LETTER and IDLE and price D-to-R adaptation.
+Progress requires a physical fresh-stage word and a target/paid recount;
+a same-head gauge comparison does not discharge those obligations.
+
+Sources and reproduction
+The original recovered archive is retained unchanged:
+integer_mult_filtered_native_implementation_2026-10-23.tar.gz
+SHA-256 595f988e748b1f3b25e7525a226da173966e4278a70f511b2919245cec1b45f7.
+Its 359 source-manifest entries and fourteen focused checks passed. The replay
+transcript is evidence/predecessor-replay.log. Exact sources, environments,
+commands, and limitations are recorded in SOURCES.json; the evidence index is
+RESULTS.json. The selected baseline and its review were resolved through
+certificates/selected-result.json at the pinned snapshot.
+Python 3.11 with NumPy 1.26.4 and SciPy 1.15.3 was used. Core continuation checks
+use the standard library; predecessor replay and optional MILP require the
+listed numerical dependencies. Optional feedback optimization used PyTorch
+2.8.0.dev20250501 and is time-limited and non-deterministic.
+The unchanged predecessor archive is included at
+inputs/original-packet.tar.gz, with its original license and notices inside.
+This archive-based package can be replayed from a clean checkout without local
+download files. From the repository root:
+python3 -B research/filtered-native-kappa004/verify_continuation.py
+
+From the standalone export, which includes the original archive, the unchanged
+arithmetic dependencies, and the license:
+python3 -B research/filtered-native-kappa004/verify_continuation.py --replay-predecessor
+
+An explicit --archive /absolute/path/to/archive.tar.gz can select another copy
+of the same pinned predecessor bytes. The verifier authenticates source bytes,
+extracts into temporary directories,
+and compares recomputed scientific outputs with the saved evidence, ignoring
+elapsed times. --with-milp additionally reruns the bounded solver screens and
+their positive control. The optimization searches are excluded from default
+verification. No Lean, Docker, full repository suite, or theorem-level proof
+replay was run. Existing technical paths retain their original names so the
+recorded replay commands remain usable.
+The HTML report is generated from this README and report.css. Regenerate it
+with python3 -B research/filtered-native-kappa004/render_report.py; the
+document-only dependency is markdown-it-py==3.0.0.
+Credit and scope
+The recovered filtered-native packet and its pinned upstream sources retain
+all attribution and notices. The interval/compiler source credits zxv and
+substantial OpenAI Codex assistance; mixed-target flow credits Jacob Alan
+Sussman's Theorem 1G; the retained outer/native/compiler/cover authors keep
+their credit. PR5270 source files retain their original notices unchanged.
+New continuation code and this report were prepared with substantial OpenAI
+Codex assistance under Apache-2.0. The report supplies reusable research findings
+and explicitly scoped evidence, with no claim of a new multiplication theorem
+or scientific approval of an external draft.
+
diff --git a/research/filtered-native-kappa004/RESULTS.json b/research/filtered-native-kappa004/RESULTS.json
new file mode 100644
index 0000000000..5bc819c792
--- /dev/null
+++ b/research/filtered-native-kappa004/RESULTS.json
@@ -0,0 +1,219 @@
+{
+ "status": "SCOPED_RESEARCH_FINDINGS_FOR_KAPPA_IMPROVEMENT",
+ "new_kappa_claimed": false,
+ "admitted_construction": false,
+ "predecessor_checks_passed": 14,
+ "predecessor_manifest_entries": 359,
+ "core_replay": "evidence/core-replay.json",
+ "readable_report": "README.md",
+ "evidence": [
+ {
+ "path": "evidence/acceptance-budget.json",
+ "bytes": 9748,
+ "sha256": "ad1ebc679bbbe0665f4aafe20d7f88fc322b9587a7e9eda7dd672ed635eaf41f"
+ },
+ {
+ "path": "evidence/core-replay.json",
+ "bytes": 25514,
+ "sha256": "6e271e57bd74eef4460a05312211d9b177e56d7e4861780303a6d1e6d816324b"
+ },
+ {
+ "path": "evidence/exact-pair-check-budget8.json",
+ "bytes": 884,
+ "sha256": "2ece4ac1b5ca53fc7610d727637cbb7a452163fab9f331017373f8e18232509c"
+ },
+ {
+ "path": "evidence/exact-pair-check.json",
+ "bytes": 818,
+ "sha256": "a7883b008536e633aee5d5ba3b30ae03b056c5bbbbf838e666cd99afe696538c"
+ },
+ {
+ "path": "evidence/feedback-scratch1.json",
+ "bytes": 67637,
+ "sha256": "e6f980d12468dde232569a8546c1eecf1e88c290a8327af7ddba0e744c5ef120"
+ },
+ {
+ "path": "evidence/feedback-scratch2-internal.json",
+ "bytes": 87126,
+ "sha256": "c12130af733b96175b3a8da37d42b9d25aa0109c68e77ca3d4023472dfc1b77f"
+ },
+ {
+ "path": "evidence/history-grades.json",
+ "bytes": 14655,
+ "sha256": "d0b6fb128ea2c1860665299bc0d20538abb610b358dfa85efde59650582b0e87"
+ },
+ {
+ "path": "evidence/independent-budget.json",
+ "bytes": 1884,
+ "sha256": "666f6969e6d0a8520be5d8a39ffdc6d0be75d081fdeaa353216435b1af6870c5"
+ },
+ {
+ "path": "evidence/integrity-controls.json",
+ "bytes": 378,
+ "sha256": "498c10058ca080f17f1db7a79da2d267f89cc784c56a5e8fd4a1ba063c543aa7"
+ },
+ {
+ "path": "evidence/observer-milp-mode0-budget8.json",
+ "bytes": 873,
+ "sha256": "b8241cb09b37db76dbb32a43eedc2886cfe189e7f64504ad9b369c8b78528536"
+ },
+ {
+ "path": "evidence/observer-milp-mode0-budget9.json",
+ "bytes": 1033,
+ "sha256": "94b80d06f285b6a6c330d085dd512be2b6bbcdcc86bad327d28bc15c86dc8278"
+ },
+ {
+ "path": "evidence/observer-milp-mode1-budget8.json",
+ "bytes": 874,
+ "sha256": "d5cd6e6eb7741ed47a14d17c712f818ec9363c237950a3547b1aa7ea6c36f3b9"
+ },
+ {
+ "path": "evidence/observer-milp-mode2-budget8.json",
+ "bytes": 872,
+ "sha256": "3a7928a9c998d5704efc9d9eb99020a6c2d149600e8f2a537107274922bbbd0e"
+ },
+ {
+ "path": "evidence/observer-milp-mode3-budget8.json",
+ "bytes": 873,
+ "sha256": "4527587f27e64bdfb1dfe4d5730996cd4abdb0e2945448dc6cfcc462fe70f22d"
+ },
+ {
+ "path": "evidence/observer-milp-mode4-budget8.json",
+ "bytes": 873,
+ "sha256": "485819868faad14ed7c53d219c2e4ff6a7ade6e0bab05878348ed507a1b314a2"
+ },
+ {
+ "path": "evidence/observer-milp-mode5-budget8.json",
+ "bytes": 873,
+ "sha256": "e9da7ba7b3e25653d69445b24029578d55ed4577a1f957fabbd85a5fab49e343"
+ },
+ {
+ "path": "evidence/observer-milp-mode6-budget8.json",
+ "bytes": 873,
+ "sha256": "4d20ea2ea6c2ddf573b482e45cc9cf9b148bfe884e77af4c6ee5d53e1cb275f0"
+ },
+ {
+ "path": "evidence/observer-milp-mode7-budget8.json",
+ "bytes": 873,
+ "sha256": "788ba2d094ee5c1d28fb09b418a4dd8c78e00ac8ec0876f07247b5646a2967ba"
+ },
+ {
+ "path": "evidence/observer-probe.json",
+ "bytes": 60150,
+ "sha256": "86fa6cda08b42612f8e44b06afd19efb9c446ee707a66577f0f48939e6516f25"
+ },
+ {
+ "path": "evidence/observer-subspaces.json.gz",
+ "bytes": 81375,
+ "sha256": "9740e3a654f175a99014c94f574c55e22295b57659fb1bf306f9c16bfbbc7f44"
+ },
+ {
+ "path": "evidence/paired-observer-probe.json",
+ "bytes": 705,
+ "sha256": "491ede7c5c7ca5a555146e23a94da5982b4f3e3534bf049f30dd92330ee86e50"
+ },
+ {
+ "path": "evidence/portable-predecessor-and-milp-replay.json",
+ "bytes": 39284,
+ "sha256": "7a4c9f8510e5625e6b5ffb0298ea21d5469e916dd0ef93d961cff3c01213918c"
+ },
+ {
+ "path": "evidence/predecessor-replay.log",
+ "bytes": 2919,
+ "sha256": "d3397e770527cd407520a414695c2f0ce5211b65d58753ec7f3b46e6444657e6"
+ },
+ {
+ "path": "evidence/repeated-head-probe.json",
+ "bytes": 35641,
+ "sha256": "2a7d827ea5f93fa770625ab1825d16bbcef4b7b72a2e4577952ffdfc2cc90fd3"
+ },
+ {
+ "path": "evidence/snapshot-probe.json",
+ "bytes": 22590,
+ "sha256": "feec7ed78001a8d34fb7fc4d1cbd329a68acb5168f240babee06bb1ea238abd9"
+ },
+ {
+ "path": "evidence/submission-replay.json",
+ "bytes": 27570,
+ "sha256": "984e6763a95aac018b9571f405010a66e51886673472589824349a6a5417e0b4"
+ }
+ ],
+ "scope": "Exact scoped probes, conditional arithmetic and bounded discovery searches. No complete multiplication theorem or unrestricted lower bound.",
+ "exact_two_frame_quotient_exclusion": {
+ "maximum_total_lift_rank": 8,
+ "pairs": 204291,
+ "full_modular_minor_exclusions": 202749,
+ "rational_elimination_exclusions": 1542,
+ "three_or_more_frames_excluded": false
+ },
+ "report_focus": "Observer limitations, physical support screens, rank accounting and their implications for future native constructions.",
+ "reusable_findings": [
+ {
+ "finding": "Physical support screen for passive reuse",
+ "evidence": "evidence/history-grades.json",
+ "use": "Screen a fixed whole-field grammar before designing a cache repair."
+ },
+ {
+ "finding": "Exact finite-family observer exclusions",
+ "evidence": "evidence/exact-pair-check-budget8.json",
+ "use": "Avoid repeating the excluded end-only two-frame searches; reuse the modular-minor/rational-fallback method."
+ },
+ {
+ "finding": "Bind literal coordinate use to rank inventories",
+ "evidence": "evidence/repeated-head-probe.json",
+ "use": "Check supplier costs and target ranks alongside operator equivalence."
+ },
+ {
+ "finding": "Conditional joint-budget evaluation",
+ "evidence": "evidence/acceptance-budget.json",
+ "use": "Compare local repair costs and identify the limiting complex or BIT branch."
+ }
+ ],
+ "report_title": "Observer Limits and Physical Costs in Native Constructions",
+ "conditional_budget_evidence": {
+ "path": "evidence/acceptance-budget.json",
+ "scope": "Fixed conditional arithmetic with missing physical replacement obligations; numerical settings are retained in the evidence."
+ },
+ "related_pull_requests": [
+ {
+ "pr": 4470,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4470"
+ },
+ {
+ "pr": 4929,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4929"
+ },
+ {
+ "pr": 4933,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4933"
+ },
+ {
+ "pr": 4940,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4940"
+ },
+ {
+ "pr": 5036,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5036"
+ },
+ {
+ "pr": 5270,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5270"
+ },
+ {
+ "pr": 5283,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5283"
+ },
+ {
+ "pr": 4760,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4760"
+ },
+ {
+ "pr": 589,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/589"
+ }
+ ],
+ "selected_repository_kappa_at_research_base": "60403/20000000",
+ "selected_repository_kappa_at_submission": "15108879/5000000000",
+ "publication_status": "author_checked_pending_external_review",
+ "submission_replay": "evidence/submission-replay.json"
+}
diff --git a/research/filtered-native-kappa004/SOURCES.json b/research/filtered-native-kappa004/SOURCES.json
new file mode 100644
index 0000000000..01e9e7b438
--- /dev/null
+++ b/research/filtered-native-kappa004/SOURCES.json
@@ -0,0 +1,204 @@
+{
+ "format": "archive-based-scoped-research-continuation-v1",
+ "base_commit": "7c472563474e60185e6ca101a17622133d047e56",
+ "canonical_remote": "https://github.com/CrocSwap/integer-mult-bounds",
+ "refresh_utc": "2026-10-23 20:05 UTC",
+ "guidance_delta": "No changes from pinned base in AGENTS.md, autoresearch.md, CONTRIBUTING.md, current-priorities.md, research-family-status.md or selected-result.json",
+ "original_archive": {
+ "name": "integer_mult_filtered_native_implementation_2026-10-23.tar.gz",
+ "bytes": 11049074,
+ "sha256": "595f988e748b1f3b25e7525a226da173966e4278a70f511b2919245cec1b45f7",
+ "source": "User-provided ~/Downloads/004-packet; upstream and prior author notices retained in full original archive",
+ "path": "inputs/original-packet.tar.gz"
+ },
+ "repository_dependencies": [
+ {
+ "path": "research/higher-moment-strictification/verify.py",
+ "git_blob": "4b24a5096154736ce060474eb8c72dc64c303699",
+ "sha256": "0ce7e7137422d5ffeda22085c81fa88471bbe963100fdad62e659f1e3bf89326",
+ "usage": "unchanged arithmetic engine"
+ },
+ {
+ "path": "research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py",
+ "git_blob": "340e1f0ffb8a1a9c38fbbd9119580b6d23e01b59",
+ "sha256": "d097e55f06c3f244f2074ffd7c1a0a5f3c4b4b6a6accf9619d1dde5c0ae85e15",
+ "usage": "unchanged outer-ledger engine"
+ }
+ ],
+ "selected_result_provenance": {
+ "path": "certificates/selected-result.json",
+ "kappa": "60403/20000000",
+ "sha256": "6fe0a099b89aa2aed796a13c3a21dafc63f3388ebf397464e44e0451893b9375"
+ },
+ "external_draft": {
+ "pr": 5270,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5270",
+ "head": "df9e5037587ce0cfbd23c2a944515526b301e820",
+ "is_draft": true,
+ "local_copies": [
+ {
+ "path": "inputs/pr5270_p19_word.py",
+ "sha256": "305acd8258d6615a0d55533d8b876561311741e8e674da7e56123cc61ab28f29"
+ },
+ {
+ "path": "inputs/pr5270_physical_gauge_lift.py",
+ "sha256": "8dc4cb463902a94cc1e6a9c86d780c96f115efb7afb66634637a3b57934c5156"
+ }
+ ],
+ "original_paths": [
+ "research/coded-reverse-word-p19/p19_word.py",
+ "research/coded-reverse-word-p19/physical_gauge_lift.py"
+ ]
+ },
+ "environment": {
+ "os": "macOS-26.5.1-arm64-arm-64bit-Mach-O",
+ "python": "3.11.11",
+ "numpy": "1.26.4",
+ "scipy": "1.15.3",
+ "torch_optional": "2.8.0.dev20250501",
+ "local_interpreter": "/opt/local/bin/python3",
+ "document_renderer_optional": "markdown-it-py==3.0.0"
+ },
+ "optional_discovery_commands": [
+ [
+ "python3",
+ "-B",
+ "feedback_search.py",
+ "--packet",
+ "PACKET",
+ "--scratch",
+ "1",
+ "--steps",
+ "700",
+ "--seconds",
+ "140"
+ ],
+ [
+ "python3",
+ "-B",
+ "feedback_search.py",
+ "--packet",
+ "PACKET",
+ "--scratch",
+ "2",
+ "--internal",
+ "--steps",
+ "700",
+ "--seconds",
+ "180"
+ ],
+ [
+ "python3",
+ "-B",
+ "observer_milp.py",
+ "--mode",
+ "MODE",
+ "--maximum-cost",
+ "8",
+ "--seconds",
+ "30"
+ ],
+ [
+ "python3",
+ "-B",
+ "observer_milp.py",
+ "--mode",
+ "0",
+ "--maximum-cost",
+ "9",
+ "--seconds",
+ "45"
+ ]
+ ],
+ "unrun_obligations": [
+ "No endpoint-preserving center replacement word for complex or BIT",
+ "No new all-width physical operator proof",
+ "No new precision/tape closure",
+ "No formal Lean or Docker replay",
+ "No unrestricted observer/feedback lower bound"
+ ],
+ "attribution": "Existing recovered-packet, repository, and vendored-PR notices remain in force. New continuation: substantial OpenAI Codex assistance, Apache-2.0.",
+ "refreshed_canonical_head": "7c472563474e60185e6ca101a17622133d047e56",
+ "report_revision": {
+ "date": "2026-10-23",
+ "title": "Observer Limits and Physical Costs in Native Constructions",
+ "purpose": "Thematic account of observer limits and physical costs, with direct related-PR links.",
+ "scientific_scope_changed": false,
+ "numerical_parameters": "Retained in original executable evidence, omitted from report prose.",
+ "related_pull_requests": [
+ {
+ "pr": 4470,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4470"
+ },
+ {
+ "pr": 4929,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4929"
+ },
+ {
+ "pr": 4933,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4933"
+ },
+ {
+ "pr": 4940,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4940"
+ },
+ {
+ "pr": 5036,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5036"
+ },
+ {
+ "pr": 5270,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5270"
+ },
+ {
+ "pr": 5283,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/5283"
+ },
+ {
+ "pr": 4760,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/4760"
+ },
+ {
+ "pr": 589,
+ "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/589"
+ }
+ ]
+ },
+ "submission_checkpoint": {
+ "upstream_commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+ "priority_revision": 7,
+ "checked_at_utc": "2026-10-23T20:44:14.980742+00:00",
+ "selected_kappa": "15108879/5000000000",
+ "selected_source_prs": [
+ 4610,
+ 5241
+ ],
+ "scientific_base_retained": "7c472563474e60185e6ca101a17622133d047e56",
+ "decision": "Retain frozen source words and exact arithmetic dependencies; publish scoped findings without a selected-frontier change.",
+ "overlap_coverage": {
+ "local": {
+ "head": "7c472563474e60185e6ca101a17622133d047e56",
+ "records": 7269,
+ "head_records": 7267,
+ "complete_head_inventory": true,
+ "unsearched_head_paths": []
+ },
+ "open_prs": {
+ "fetched_at": "2026-10-23T20:40:20.370510+00:00",
+ "complete_pagination": true,
+ "records": 329
+ },
+ "discussions": {
+ "fetched_at": "2026-10-23T20:41:29.545910+00:00",
+ "complete_pagination": true,
+ "records": 4669
+ }
+ },
+ "overlap_warnings": [],
+ "nearest_related_discussions": [
+ 4930,
+ 5355
+ ],
+ "overlap_distinction": "Following-query physical support and the changed-source observer quotient; no claim to repeat prior clean-word cache screens or re-prove the coded p16 caller."
+ }
+}
diff --git a/research/filtered-native-kappa004/SUBMISSION.json b/research/filtered-native-kappa004/SUBMISSION.json
new file mode 100644
index 0000000000..0631736aac
--- /dev/null
+++ b/research/filtered-native-kappa004/SUBMISSION.json
@@ -0,0 +1,80 @@
+{
+ "status": "PREPARED_FOR_PUBLIC_REVIEW",
+ "new_kappa_claimed": false,
+ "scope": "Exact scoped observer/history findings and limited searches; no new supplier or multiplication theorem.",
+ "checkpoint": {
+ "upstream_commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+ "priority_revision": 7,
+ "checked_at_utc": "2026-10-23T20:44:14.980742+00:00",
+ "selected_kappa": "15108879/5000000000",
+ "selected_source_prs": [
+ 4610,
+ 5241
+ ],
+ "scientific_base_retained": "7c472563474e60185e6ca101a17622133d047e56",
+ "decision": "Retain frozen source words and exact arithmetic dependencies; publish scoped findings without a selected-frontier change.",
+ "overlap_coverage": {
+ "local": {
+ "head": "7c472563474e60185e6ca101a17622133d047e56",
+ "records": 7269,
+ "head_records": 7267,
+ "complete_head_inventory": true,
+ "unsearched_head_paths": []
+ },
+ "open_prs": {
+ "fetched_at": "2026-10-23T20:40:20.370510+00:00",
+ "complete_pagination": true,
+ "records": 329
+ },
+ "discussions": {
+ "fetched_at": "2026-10-23T20:41:29.545910+00:00",
+ "complete_pagination": true,
+ "records": 4669
+ }
+ },
+ "overlap_warnings": [],
+ "nearest_related_discussions": [
+ 4930,
+ 5355
+ ],
+ "overlap_distinction": "Following-query physical support and the changed-source observer quotient; no claim to repeat prior clean-word cache screens or re-prove the coded p16 caller."
+ },
+ "replay_packaging_change": "Bundle the unchanged predecessor archive and prefer that package-local archive by default; retain the standalone-export fallback.",
+ "archive_sha256": "595f988e748b1f3b25e7525a226da173966e4278a70f511b2919245cec1b45f7",
+ "archive_bytes": 11049074,
+ "document_generator": "render_report.py",
+ "verification_command": [
+ "python3",
+ "-B",
+ "research/filtered-native-kappa004/verify_continuation.py"
+ ],
+ "unrun_at_submission": [
+ "No repeated predecessor historical replay; its prior fourteen-check receipt is retained.",
+ "No repeat of numerical feedback optimization or bounded MILP search.",
+ "No Lean/Docker or selected-frontier theorem replay."
+ ],
+ "validation": {
+ "status": "PASS_SCOPED_CONTINUATION_NO_NEW_KAPPA",
+ "receipt": "evidence/submission-replay.json",
+ "environment": "Fresh Python 3.11 venv with no third-party packages",
+ "commands_passed": 9,
+ "tested_manifest_sha256": "d00b374ef4d2606395107f2ca4f655ff6a8380ad78f5606151b0422cbec8493c",
+ "tested_executable_and_input_sha256": {
+ "acceptance_budget.py": "f683d20c977c4557540074f83f4e1c334ed91956eb4fa3491f857e9f71bf65aa",
+ "exact_pair_check.py": "a3739c61a33a3765f5928ea26ca101dcbc70d7f5e1ae3271cda3f7d6e087e978",
+ "feedback_search.py": "9fafd822cb081dc3d21cf9b44e5e95424a32ddc221b2825a68185a20fd1e47e0",
+ "history_grade_probe.py": "347f2f04be861a907829ad0b1d2f6409b6a7aeb25ee3dadffdf4920e46586803",
+ "independent_budget_check.py": "4255581da69e032964ae2d5e56a65401dbb4d1478d02626866ded3137139ff11",
+ "inputs/original-packet.tar.gz": "595f988e748b1f3b25e7525a226da173966e4278a70f511b2919245cec1b45f7",
+ "inputs/pr5270_p19_word.py": "305acd8258d6615a0d55533d8b876561311741e8e674da7e56123cc61ab28f29",
+ "inputs/pr5270_physical_gauge_lift.py": "8dc4cb463902a94cc1e6a9c86d780c96f115efb7afb66634637a3b57934c5156",
+ "observer_milp.py": "47287928388c93a0a6cff8ed295947e92c8f59743082d29e7e51680ee464ab9d",
+ "observer_probe.py": "fc9805dfcf4f35be84e6a5ab6d0a0934653aa9aeade2905b86aa26031ba943bb",
+ "paired_observer_probe.py": "18db7e7b570c83c6f37a56c5e842bdf99d894730889799191564394671b3866a",
+ "render_report.py": "a2d1a861952f94312d0e888d8cfca35f3935f57a2874eb74aea6700d04b94075",
+ "repeated_head_probe.py": "63abeb2b0beb128165d1e31283cbe6335a7cee260774b94e01ff4cb1fb40324b",
+ "snapshot_probe.py": "cd5dd29f62698432f5c7762faf35581c65b4ed7d446e1a9ea98f8e3e1968d033",
+ "verify_continuation.py": "e630b6d29bb29b62c9400e49a5984ff627f5ede5713cee290b0941f07f949f6b"
+ }
+ }
+}
diff --git a/research/filtered-native-kappa004/TASK.json b/research/filtered-native-kappa004/TASK.json
new file mode 100644
index 0000000000..55d8bcda44
--- /dev/null
+++ b/research/filtered-native-kappa004/TASK.json
@@ -0,0 +1,90 @@
+{
+ "assignment": "Develop the recovered filtered-native construction toward kappa >= 0.004, starting with its proposed directions and considering repository mechanisms and literature.",
+ "scope_status": "refined",
+ "scope_change_reason": "Present reusable observer and physical-cost findings, scope their exclusions, and connect them to linked repository contributions. Numerical certificates and original assignment remain historical provenance.",
+ "session_budget_minutes": 60,
+ "outcome": "REUSABLE_SCOPED_FINDINGS_NO_NEW_KAPPA",
+ "new_kappa_claimed": false,
+ "selected_frontier_unchanged": true,
+ "publication_status": "prepared_for_pull_request",
+ "evidence": "RESULTS.json",
+ "open_next_questions": [
+ {
+ "question": "Can noisy observations feed later paid native jobs?",
+ "why_it_matters": "End-only individually clean observations exceed the removed cost.",
+ "first_step": "Inject a selected observer before a later climb and replay all arbitrary columns and phases.",
+ "blocked_by": [
+ "chronological physical repair word",
+ "complete paid and ordinary invoice"
+ ]
+ },
+ {
+ "question": "Which BIT changes would complement a proposed complex gain?",
+ "why_it_matters": "The limiting complex or BIT branch can prevent a local improvement from increasing the joint kappa.",
+ "first_step": "Build the analogous BIT changed-source DAG and lower-frame quotient, then evaluate both branches against a proposed joint saving.",
+ "blocked_by": [
+ "BIT endpoint-preserving program",
+ "complete global Q adaptation cost"
+ ]
+ },
+ {
+ "question": "Can broader observer or feedback grammars recover the missing modes?",
+ "why_it_matters": "Owned banks can supply a wider grammar than passive observers.",
+ "first_step": "Test changed contacts, earlier timing or more than two contact frames; reconstruct surviving candidates exactly.",
+ "blocked_by": [
+ "128-sector hit",
+ "phase-aware full replay",
+ "ordinary restoration tariff"
+ ]
+ },
+ {
+ "question": "Can PR5270 supply genuinely independent fresh stages?",
+ "why_it_matters": "Repeated-axis gauge equivalence does not certify the advertised rank profile.",
+ "first_step": "Bind every LETTER and IDLE to literal coordinates and price D-to-R adaptation.",
+ "blocked_by": [
+ "fresh-stage physical word",
+ "complete target and paid recount"
+ ]
+ }
+ ],
+ "report_reframing_request": "Use a thematic title, omit the numerical target from the report, and link related PRs.",
+ "report_title": "Observer Limits and Physical Costs in Native Constructions",
+ "submission_checkpoint": {
+ "upstream_commit": "1ec1119972c9aefe42525172d07b332fcff81cb4",
+ "priority_revision": 7,
+ "checked_at_utc": "2026-10-23T20:44:14.980742+00:00",
+ "selected_kappa": "15108879/5000000000",
+ "selected_source_prs": [
+ 4610,
+ 5241
+ ],
+ "scientific_base_retained": "7c472563474e60185e6ca101a17622133d047e56",
+ "decision": "Retain frozen source words and exact arithmetic dependencies; publish scoped findings without a selected-frontier change.",
+ "overlap_coverage": {
+ "local": {
+ "head": "7c472563474e60185e6ca101a17622133d047e56",
+ "records": 7269,
+ "head_records": 7267,
+ "complete_head_inventory": true,
+ "unsearched_head_paths": []
+ },
+ "open_prs": {
+ "fetched_at": "2026-10-23T20:40:20.370510+00:00",
+ "complete_pagination": true,
+ "records": 329
+ },
+ "discussions": {
+ "fetched_at": "2026-10-23T20:41:29.545910+00:00",
+ "complete_pagination": true,
+ "records": 4669
+ }
+ },
+ "overlap_warnings": [],
+ "nearest_related_discussions": [
+ 4930,
+ 5355
+ ],
+ "overlap_distinction": "Following-query physical support and the changed-source observer quotient; no claim to repeat prior clean-word cache screens or re-prove the coded p16 caller."
+ },
+ "scope_key": "native-observer-limits-and-physical-costs"
+}
diff --git a/research/filtered-native-kappa004/acceptance_budget.py b/research/filtered-native-kappa004/acceptance_budget.py
new file mode 100644
index 0000000000..610039e363
--- /dev/null
+++ b/research/filtered-native-kappa004/acceptance_budget.py
@@ -0,0 +1,172 @@
+#!/usr/bin/env python3
+"""Exact, explicitly unrealized acceptance budget for kappa = 1/250.
+
+Three complex H8 -> H1 and two BIT H7 -> H1 replacements per BACKWARD
+invocation would suffice arithmetically. No such replacement is supplied.
+The final admission gate deliberately rejects this hypothetical construction.
+Apache-2.0; substantial OpenAI Codex assistance. Retained interval/compiler,
+native, controller, delayed-cover and outer authors retain their credit.
+"""
+from collections import Counter
+from fractions import Fraction as Q
+from pathlib import Path
+from hashlib import sha256
+import json
+
+from snapshot_probe import load, need
+
+HERE = Path(__file__).resolve().parent
+ROOT = HERE.parents[1]
+KAPPA = Q(1, 250)
+COMPLEX_LOCAL = {1: 2201, 2: 412, 3: 510, 4: 127, 5: 40, 8: 8}
+BIT_LOCAL = {1: 1323, 2: 1342, 3: 79, 4: 44, 5: 102, 6: 11, 7: 19}
+
+
+def encode(x):
+ if isinstance(x, Q):
+ return str(x)
+ if isinstance(x, dict):
+ return {str(k): encode(v) for k, v in x.items()}
+ if isinstance(x, (tuple, list)):
+ return [encode(v) for v in x]
+ return x
+
+
+def invoice(kind, replacements):
+ ports, block = (112, 8) if kind == 'complex' else (111, 7)
+ helpers = {4: 28, 7: 7, 8: 47, 9: 326} if kind == 'complex' else {8: 439}
+ local = COMPLEX_LOCAL if kind == 'complex' else BIT_LOCAL
+ # Actual p16 call directions: sixteen backward and two forward FULLs.
+ target = Counter({r: 18*n for r, n in helpers.items()})
+ paid = Counter({r: 18*n for r, n in local.items()})
+ paid[1] += 15*ports
+ target[1+18*block] += 2*ports
+ for length in (7, 8):
+ for j in range(1, length+1):
+ target[1+block*(j+1)] += 2*ports
+ paid[block*(j+1)] += 2*ports
+ need(0 <= replacements <= (8 if kind == 'complex' else 9), 'Available centers')
+ paid[block] -= 16*replacements
+ paid[1] += 16*replacements
+ need(all(n >= 0 for n in paid.values()), 'Nonnegative paid inventory')
+ return target, +paid
+
+
+def subtract(a, b):
+ return a[0]-b[1], a[1]-b[0]
+
+
+def moment_margin(E, kind, replacements, saving):
+ t, p = invoice(kind, replacements)
+ return subtract(E.moment(t, 1-saving), E.moment(p, 1-saving))
+
+
+def logarithmic_compiler(E, ambient, tested, uniform, cutoff, floor):
+ v, theta, exponent = 1024, Q(63, 64), 2000
+ # The retained elementary exp kernel has an explicit |argument| < 16
+ # contract. Range-reduce here instead of weakening that source guard.
+ def wide_power(a):
+ reduced = a
+ squares = 0
+ while abs(reduced)*E.log_bounds(ambient)[1] >= 8:
+ reduced /= 2
+ squares += 1
+ result = E.power(ambient, reduced)
+ for _ in range(squares):
+ result = E.mul(result, result)
+ return result
+ eta = E.scale(wide_power(-v*tested), 1-tested)
+ need(cutoff**64 < floor**63, 'Strict paid/target rank separation')
+ need(2*(cutoff**v)**64 <= (ambient**v)**63, 'Shifted exit bound')
+ need(eta[0] > theta**exponent, 'Logarithmic complement capacity')
+ need(wide_power(v*tested)[1] < 2**exponent, 'Initial ordinary range')
+ gap = tested-uniform
+ need(gap.numerator == 1, 'Integer rank grid')
+ step = gap.denominator
+
+ def passes(j):
+ return (step*j+1)**exponent < 2**j
+
+ lo, hi = 1, 2
+ while not passes(hi):
+ lo, hi = hi, 2*hi
+ while hi-lo > 1:
+ mid = (hi+lo)//2
+ if passes(mid):
+ hi = mid
+ else:
+ lo = mid
+ need(passes(hi) and not passes(hi-1), 'Exact compiler threshold')
+ return {'ambient_base': ambient, 'logarithm_power': exponent, 'gap': gap,
+ 'H': step*hi, 'uniform_N': '2^'+str(step*hi), 'eta': E.display(eta),
+ 'winning_uniform_word_materialized': False}
+
+
+def tail(E, kind, replacements, tested, uniform, cutoff, floor):
+ t, p = invoice(kind, replacements)
+ target = E.moment(t, 1-tested)
+ alpha = E.divide(E.moment(p, 1-tested), target)
+ gamma = E.divide(E.moment(p, 1-tested+Q(1, 5)), E.mul(E.power(cutoff, Q(1, 5)), target))
+ delta = E.divide((Q(sum(t.values())*floor),)*2, E.mul(E.power(cutoff, tested), target))
+ need(alpha[1] < 1-Q(1, 1000000), 'Strict raw moment gap')
+ need(gamma[1] < Q(97, 100) and delta[1] < Q(97, 100), 'Both charged tails')
+ need(Q(97, 100)**128 < Q(1, 16), 'Tail decay block')
+ complete = 1/(1+1024*Q(1, 1000000))+Q(4, 2**32)
+ need(complete < 1, 'Original and completion tails both included')
+ return {'tested': tested, 'uniform': uniform, 'targets': t, 'paid': p,
+ 'alpha': E.display(alpha), 'gamma': E.display(gamma), 'delta': E.display(delta),
+ 'tensor_power': 1024, 'cutoff': cutoff, 'floor': floor,
+ 'complete_normalized_paid_upper': complete,
+ 'compiler': logarithmic_compiler(E, 145 if kind == 'complex' else 127,
+ tested, uniform, cutoff, floor)}
+
+
+def main():
+ E = load('k004_exact_intervals', ROOT/'research/higher-moment-strictification/verify.py')
+ O = load('k004_outer_ledger', ROOT/'research/pr4359-p7-padding/dependencies/compiler-refill/endpoint.py')
+ tested, d = Q('0.00405'), Q(1, 140000)
+ complex_uniform = KAPPA+6*d
+ rows = {}
+ for kind, min_count in (('complex', 3), ('bit', 2)):
+ margins = {str(n): E.display(moment_margin(E, kind, n, KAPPA)) for n in range(5)}
+ need(moment_margin(E, kind, min_count-1, KAPPA)[1] < 0, 'One fewer center fails: '+kind)
+ need(moment_margin(E, kind, min_count, KAPPA)[0] > 0, 'Sufficient center budget: '+kind)
+ rows[kind] = {'hypothetical_centers_per_backward_call': min_count,
+ 'raw_margins_at_kappa_004': margins}
+ c = tail(E, 'complex', 3, tested, complex_uniform, 20, 21)
+ b = tail(E, 'bit', 2, Q('.0041'), Q('.00409'), 17, 18)
+ before, after, atom, old = Q('.00409'), Q('.00408'), Q('.005'), Q('.0000384599')
+ ordinary, admitted = (1-atom)*after+atom*old, Q('.00405')
+ need(before > after and atom > ordinary > admitted and atom < 1-ordinary, 'Ordinary BIT admission')
+ need(2**26 > 256/(before-after), 'Delayed-cover prime coefficient')
+ params = {'kappa': KAPPA, 'tested_saving': tested, 'complex_uniform_saving': complex_uniform,
+ 'b': KAPPA+5*d, 'a': KAPPA+4*d, 'q': KAPPA+3*d, 'bit_saving': admitted,
+ 'epsilon': 1-d, 'beta': 1-3*d, 'r0': d/10, 'stop': d, 'layout': d, 'd': d}
+ outer = O.ledger(params)
+ outer['functional_checks']['actual_new_BIT_stock_sublinear'] = params['beta']*(1-atom)
+ failures = [k for part in ('strict_checks', 'functional_checks')
+ for k, v in outer[part].items() if v <= 0]
+ need(not failures, 'Strict nine-row outer ledger')
+ # These are real gates: favorable arithmetic never substitutes for a word.
+ obligations = {'complex_replacement_word': False, 'bit_replacement_word': False,
+ 'arbitrary_input_endpoint_replay': False, 'phase_and_all_width_binding': False,
+ 'ordinary_precision_tape_tariff': False}
+ admitted_construction = not failures and all(obligations.values())
+ need(not admitted_construction, 'Unrealized construction is rejected')
+ out = {'status': 'PASS_CONDITIONAL_BUDGET_ONLY_PHYSICAL_CONSTRUCTION_MISSING',
+ 'target_kappa': KAPPA, 'new_kappa_claimed': False,
+ 'cost_model': 'Exact native endpoint and every independent helper preserved; remove selected centers only in the sixteen backward FULLs, and replace each by one H1. Ordinary work is a separate unresolved contract.',
+ 'minimum_replacements_in_this_model': rows, 'complex': c, 'bit': b,
+ 'ordinary_BIT': {'before_cover': before, 'after_cover': after, 'atom': atom,
+ 'ordinary_saving': ordinary, 'admitted': admitted},
+ 'outer_parameters': params, 'outer': outer, 'missing_obligations': obligations,
+ 'admitted_construction': admitted_construction,
+ 'exact_engine_sha256': sha256((ROOT/'research/higher-moment-strictification/verify.py').read_bytes()).hexdigest()}
+ (HERE/'evidence/acceptance-budget.json').write_text(json.dumps(encode(out), indent=2)+'\n')
+ print(json.dumps({'status': out['status'], 'target_kappa': str(KAPPA),
+ 'ordinary_BIT': str(ordinary), 'outer_failures': failures,
+ 'admitted_construction': admitted_construction}))
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/evidence/acceptance-budget.json b/research/filtered-native-kappa004/evidence/acceptance-budget.json
new file mode 100644
index 0000000000..7123c836ca
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/acceptance-budget.json
@@ -0,0 +1,306 @@
+{
+ "status": "PASS_CONDITIONAL_BUDGET_ONLY_PHYSICAL_CONSTRUCTION_MISSING",
+ "target_kappa": "1/250",
+ "new_kappa_claimed": false,
+ "cost_model": "Exact native endpoint and every independent helper preserved; remove selected centers only in the sixteen backward FULLs, and replace each by one H1. Ordinary work is a separate unresolved contract.",
+ "minimum_replacements_in_this_model": {
+ "complex": {
+ "hypothetical_centers_per_backward_call": 3,
+ "raw_margins_at_kappa_004": {
+ "0": {
+ "lower": "-241.323226158433488498278190096112",
+ "upper": "-241.323226158433488498278190096111"
+ },
+ "1": {
+ "lower": "-130.383484623931959287323738836761",
+ "upper": "-130.383484623931959287323738836760"
+ },
+ "2": {
+ "lower": "-19.443743089430430076369287577411",
+ "upper": "-19.443743089430430076369287577410"
+ },
+ "3": {
+ "lower": "91.495998445071099134585163681940",
+ "upper": "91.495998445071099134585163681941"
+ },
+ "4": {
+ "lower": "202.435739979572628345539614941291",
+ "upper": "202.435739979572628345539614941292"
+ }
+ }
+ },
+ "bit": {
+ "hypothetical_centers_per_backward_call": 2,
+ "raw_margins_at_kappa_004": {
+ "0": {
+ "lower": "-115.467200519568013999525488923231",
+ "upper": "-115.467200519568013999525488923230"
+ },
+ "1": {
+ "lower": "-20.335584288513725865890187432563",
+ "upper": "-20.335584288513725865890187432562"
+ },
+ "2": {
+ "lower": "74.796031942540562267745114058106",
+ "upper": "74.796031942540562267745114058107"
+ },
+ "3": {
+ "lower": "169.927648173594850401380415548774",
+ "upper": "169.927648173594850401380415548775"
+ },
+ "4": {
+ "lower": "265.059264404649138535015717039442",
+ "upper": "265.059264404649138535015717039443"
+ }
+ }
+ }
+ },
+ "complex": {
+ "tested": "81/20000",
+ "uniform": "283/70000",
+ "targets": {
+ "4": 504,
+ "7": 126,
+ "8": 846,
+ "9": 5868,
+ "145": 224,
+ "17": 448,
+ "25": 448,
+ "33": 448,
+ "41": 448,
+ "49": 448,
+ "57": 448,
+ "65": 448,
+ "73": 224
+ },
+ "paid": {
+ "1": 41346,
+ "2": 7416,
+ "3": 9180,
+ "4": 2286,
+ "5": 720,
+ "8": 96,
+ "16": 448,
+ "24": 448,
+ "32": 448,
+ "40": 448,
+ "48": 448,
+ "56": 448,
+ "64": 448,
+ "72": 224
+ },
+ "alpha": {
+ "lower": "0.999665264325995209909067956246",
+ "upper": "0.999665264325995209909067956247"
+ },
+ "gamma": {
+ "lower": "0.955528849561035381841601753264",
+ "upper": "0.955528849561035381841601753265"
+ },
+ "delta": {
+ "lower": "0.958839026047728020747947967722",
+ "upper": "0.958839026047728020747947967723"
+ },
+ "tensor_power": 1024,
+ "cutoff": 20,
+ "floor": 21,
+ "complete_normalized_paid_upper": "16777216015641/16794395869184",
+ "compiler": {
+ "ambient_base": 145,
+ "logarithm_power": 2000,
+ "gap": "1/140000",
+ "H": 9270940000,
+ "uniform_N": "2^9270940000",
+ "eta": {
+ "lower": "0.000000001082959354581543749202",
+ "upper": "0.000000001082959354581543749203"
+ },
+ "winning_uniform_word_materialized": false
+ }
+ },
+ "bit": {
+ "tested": "41/10000",
+ "uniform": "409/100000",
+ "targets": {
+ "8": 7902,
+ "127": 222,
+ "15": 444,
+ "22": 444,
+ "29": 444,
+ "36": 444,
+ "43": 444,
+ "50": 444,
+ "57": 444,
+ "64": 222
+ },
+ "paid": {
+ "1": 25511,
+ "2": 24156,
+ "3": 1422,
+ "4": 792,
+ "5": 1836,
+ "6": 198,
+ "7": 310,
+ "14": 444,
+ "21": 444,
+ "28": 444,
+ "35": 444,
+ "42": 444,
+ "49": 444,
+ "56": 444,
+ "63": 222
+ },
+ "alpha": {
+ "lower": "0.999751852172960182049868916508",
+ "upper": "0.999751852172960182049868916509"
+ },
+ "gamma": {
+ "lower": "0.956983180503606246316202340621",
+ "upper": "0.956983180503606246316202340622"
+ },
+ "delta": {
+ "lower": "0.950043216500361450015162915451",
+ "upper": "0.950043216500361450015162915452"
+ },
+ "tensor_power": 1024,
+ "cutoff": 17,
+ "floor": 18,
+ "complete_normalized_paid_upper": "16777216015641/16794395869184",
+ "compiler": {
+ "ambient_base": 127,
+ "logarithm_power": 2000,
+ "gap": "1/100000",
+ "H": 6520500000,
+ "uniform_N": "2^6520500000",
+ "eta": {
+ "lower": "0.000000001464219513353158534941",
+ "upper": "0.000000001464219513353158534942"
+ },
+ "winning_uniform_word_materialized": false
+ }
+ },
+ "ordinary_BIT": {
+ "before_cover": "409/100000",
+ "after_cover": "51/12500",
+ "atom": "1/200",
+ "ordinary_saving": "8119584599/2000000000000",
+ "admitted": "81/20000"
+ },
+ "outer_parameters": {
+ "kappa": "1/250",
+ "tested_saving": "81/20000",
+ "complex_uniform_saving": "283/70000",
+ "b": "113/28000",
+ "a": "141/35000",
+ "q": "563/140000",
+ "bit_saving": "81/20000",
+ "epsilon": "139999/140000",
+ "beta": "139997/140000",
+ "r0": "1/1400000",
+ "stop": "1/140000",
+ "layout": "1/140000",
+ "d": "1/140000"
+ },
+ "outer": {
+ "parameters": {
+ "kappa": "1/250",
+ "tested_saving": "81/20000",
+ "complex_uniform_saving": "283/70000",
+ "b": "113/28000",
+ "a": "141/35000",
+ "q": "563/140000",
+ "bit_saving": "81/20000",
+ "epsilon": "139999/140000",
+ "beta": "139997/140000",
+ "r0": "1/1400000",
+ "stop": "1/140000",
+ "layout": "1/140000",
+ "d": "1/140000",
+ "cap_xi": "17841319437/19600000000",
+ "lambda_": "39839/40000",
+ "lambda_prime": "139437/140000"
+ },
+ "margins": {
+ "main_transform": "78819437/19600000000",
+ "global_coordinate_router": "141/35000",
+ "fused_gaussian": "78958311/19600000000",
+ "group_bit_router": "19774577/4900000000",
+ "group_scans": "69999/70000",
+ "boundary_algebraic_matrix": "78959437/19600000000",
+ "sparse_union_movement": "8041459437/19600000000",
+ "polynomial_products": "139999/140000",
+ "microbox_face_corrections": "2695001/35000"
+ },
+ "strict_checks": {
+ "actual_bit_above_effective": "3/140000",
+ "complex_above_effective": "1/140000",
+ "q_positive": "563/140000",
+ "complex_endpoint": "1/70000",
+ "q_below_effective": "1/140000",
+ "stop_positive": "1/140000",
+ "stop_below_one": "139999/140000",
+ "leaf_saving_above_effective": "27887/3920000000",
+ "q_below_internal": "1/140000",
+ "q_below_leaf": "55887/3920000000",
+ "lambda_above_tau": "1/280000",
+ "lambda_above_sigma": "3/280000",
+ "lambda_above_internal": "1/280000",
+ "lambda_prime_above_lambda": "1/280000",
+ "lambda_prime_above_leaf": "55887/3920000000",
+ "epsilon_positive": "139999/140000",
+ "epsilon_below_one": "1/140000",
+ "cap_above_band": "8041319437/19600000000",
+ "cap_below_cell": "1758540563/19600000000",
+ "group_positive": "139997/140000",
+ "group_below_dimension": "1/70000",
+ "support_router_span": "3/140000",
+ "group_gauge_power_slack": "1758883563/9800000000",
+ "actual_logarithmic_group_guard": "1758890563/9800000000",
+ "global_gamma_power_slack": "9/1400000",
+ "actual_logarithmic_gamma_guard": "1/140000",
+ "alpha_logarithm_absorption": "1/1400000",
+ "group_key_fits_record": "1/70000",
+ "membership_arithmetic_fits_record": "1/140000",
+ "microbox_halo_volume": "11060003/140000",
+ "positive_layout_slack": "1/140000",
+ "short_record_fallback": "27887/28000",
+ "complex_below_one_over_32": "381/14000",
+ "strassen_integer_power_gap": "1951441519231",
+ "theta_positive_polynomial_power": "2",
+ "cap_below_phase_cell_power": "21358680563/19600000000",
+ "halo_covers_generic_inverse_radius": "5",
+ "union_tag_work_per_visit_fits_record": "3/140000",
+ "union_header_fits_record": "3/140000",
+ "source_axis_superpolynomial": "1/140000",
+ "gaussian_above_main": "69437/9800000000",
+ "new_complex_uniform_saving_above_b": "1/140000",
+ "improvement_over_user_baseline": "1134514790400418148631/500000000000000000000000",
+ "new_semantic_guard_with_C1_one": "1/140000",
+ "fine_prime_halo_umbrella": "7/2",
+ "main_transform_above_kappa": "419437/19600000000",
+ "global_coordinate_router_above_kappa": "1/35000",
+ "fused_gaussian_above_kappa": "558311/19600000000",
+ "group_bit_router_above_kappa": "174577/4900000000",
+ "group_scans_above_kappa": "69719/70000",
+ "boundary_algebraic_matrix_above_kappa": "559437/19600000000",
+ "sparse_union_movement_above_kappa": "7963059437/19600000000",
+ "polynomial_products_above_kappa": "139439/140000",
+ "microbox_face_corrections_above_kappa": "2694861/35000"
+ },
+ "functional_checks": {
+ "new_semantic_group_guard": "3/140000",
+ "new_BIT_row_stock_sublinear_in_active_group": "139577009/140000000",
+ "fixed_halo_explicit_metadata_branch": "2695001/35000",
+ "actual_new_BIT_stock_sublinear": "27859403/28000000"
+ }
+ },
+ "missing_obligations": {
+ "complex_replacement_word": false,
+ "bit_replacement_word": false,
+ "arbitrary_input_endpoint_replay": false,
+ "phase_and_all_width_binding": false,
+ "ordinary_precision_tape_tariff": false
+ },
+ "admitted_construction": false,
+ "exact_engine_sha256": "0ce7e7137422d5ffeda22085c81fa88471bbe963100fdad62e659f1e3bf89326"
+}
diff --git a/research/filtered-native-kappa004/evidence/core-replay.json b/research/filtered-native-kappa004/evidence/core-replay.json
new file mode 100644
index 0000000000..981dcb47f0
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/core-replay.json
@@ -0,0 +1,78 @@
+{
+ "status": "PASS_SCOPED_CONTINUATION_NO_NEW_KAPPA",
+ "new_kappa_claimed": false,
+ "admitted_construction": false,
+ "source_manifest_sha256": "8ad5ce6f4bbd24e36ce36fe6adf09c1c28c62d40acb6ed68e2fb07a54119ac5e",
+ "python": "3.11.11 (main, Dec 7 2024, 10:43:09) [Clang 15.0.0 (clang-1500.3.9.4)]",
+ "commands": [
+ {
+ "script": "history_grade_probe.py",
+ "arguments": [
+ "--packet",
+ "/var/folders/y2/rqpdcbzj7_98322kfb3v7_kr0000gq/T/filtered-native-k004-jd502h16/original/filtered_native_implementation"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 2.484,
+ "stdout": "HISTORY 5000 grade evaluations CacheInfo(hits=0, misses=112, maxsize=None, currsize=112) full-rank witnesses 0\nHISTORY 10000 grade evaluations CacheInfo(hits=0, misses=196, maxsize=None, currsize=196) full-rank witnesses 0\nHISTORY 15000 grade evaluations CacheInfo(hits=0, misses=1648, maxsize=None, currsize=1648) full-rank witnesses 0\nHISTORY 20000 grade evaluations CacheInfo(hits=0, misses=2965, maxsize=None, currsize=2965) full-rank witnesses 0\n{\"status\": \"ACTUAL_PHASE_AWARE_NATIVE_HISTORY_SUPPORT_SCREEN\", \"maximum_snapshot_source_grade\": 8, \"unique_physical_source_terms\": 2965, \"support_bound_applicable\": true, \"elapsed_seconds\": 2.203136041003745}\n",
+ "stderr": ""
+ },
+ {
+ "script": "snapshot_probe.py",
+ "arguments": [
+ "--packet",
+ "/var/folders/y2/rqpdcbzj7_98322kfb3v7_kr0000gq/T/filtered-native-k004-jd502h16/original/filtered_native_implementation"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 1.515,
+ "stdout": "snapshots 424\nPORT 0 {'port': 0, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.87\nPORT 1 {'port': 1, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.88\nPORT 2 {'port': 2, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.88\nPORT 3 {'port': 3, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.9\nPORT 4 {'port': 4, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.91\nPORT 5 {'port': 5, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.91\nPORT 6 {'port': 6, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.92\nPORT 7 {'port': 7, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.92\nPORT 8 {'port': 8, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.93\nPORT 9 {'port': 9, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.93\nPORT 10 {'port': 10, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.93\nPORT 11 {'port': 11, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 12 {'port': 12, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 13 {'port': 13, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 14 {'port': 14, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.95\nPORT 15 {'port': 15, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.95\nPORT 16 {'port': 16, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.95\nPORT 17 {'port': 17, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.96\nPORT 18 {'port': 18, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.98\nPORT 19 {'port': 19, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.98\nPORT 20 {'port': 20, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.98\nPORT 21 {'port': 21, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.99\nPORT 22 {'port': 22, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.0\nPORT 23 {'port': 23, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.0\nPORT 24 {'port': 24, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.01\nPORT 25 {'port': 25, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.01\nPORT 26 {'port': 26, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.02\nPORT 27 {'port': 27, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.02\nPORT 28 {'port': 28, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.03\nPORT 29 {'port': 29, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.04\nPORT 30 {'port': 30, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.04\nPORT 31 {'port': 31, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.05\nPORT 32 {'port': 32, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.06\nPORT 33 {'port': 33, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.06\nPORT 34 {'port': 34, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.07\nPORT 35 {'port': 35, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.08\nPORT 36 {'port': 36, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.08\nPORT 37 {'port': 37, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.08\nPORT 38 {'port': 38, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.09\nPORT 39 {'port': 39, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.09\nPORT 40 {'port': 40, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.1\nPORT 41 {'port': 41, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.1\nPORT 42 {'port': 42, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.1\nPORT 43 {'port': 43, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.11\nPORT 44 {'port': 44, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.11\nPORT 45 {'port': 45, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.11\nPORT 46 {'port': 46, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.12\nPORT 47 {'port': 47, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.12\nPORT 48 {'port': 48, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.13\nPORT 49 {'port': 49, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.13\nPORT 50 {'port': 50, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.14\nPORT 51 {'port': 51, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.14\nPORT 52 {'port': 52, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.14\nPORT 53 {'port': 53, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.14\nPORT 54 {'port': 54, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.15\nPORT 55 {'port': 55, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.16\nPORT 56 {'port': 56, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.16\nPORT 57 {'port': 57, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.16\nPORT 58 {'port': 58, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.17\nPORT 59 {'port': 59, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.17\nPORT 60 {'port': 60, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.18\nPORT 61 {'port': 61, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.18\nPORT 62 {'port': 62, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.18\nPORT 63 {'port': 63, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.18\nPORT 64 {'port': 64, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.19\nPORT 65 {'port': 65, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.19\nPORT 66 {'port': 66, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.2\nPORT 67 {'port': 67, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.21\nPORT 68 {'port': 68, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.21\nPORT 69 {'port': 69, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.22\nPORT 70 {'port': 70, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.22\nPORT 71 {'port': 71, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.22\nPORT 72 {'port': 72, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.22\nPORT 73 {'port': 73, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.23\nPORT 74 {'port': 74, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.23\nPORT 75 {'port': 75, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.24\nPORT 76 {'port': 76, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.24\nPORT 77 {'port': 77, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.25\nPORT 78 {'port': 78, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.25\nPORT 79 {'port': 79, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.25\nPORT 80 {'port': 80, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.25\nPORT 81 {'port': 81, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.26\nPORT 82 {'port': 82, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.26\nPORT 83 {'port': 83, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.26\nPORT 84 {'port': 84, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.27\nPORT 85 {'port': 85, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.27\nPORT 86 {'port': 86, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.28\nPORT 87 {'port': 87, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.28\nPORT 88 {'port': 88, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.28\nPORT 89 {'port': 89, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.29\nPORT 90 {'port': 90, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.29\nPORT 91 {'port': 91, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.29\nPORT 92 {'port': 92, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.29\nPORT 93 {'port': 93, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.3\nPORT 94 {'port': 94, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.3\nPORT 95 {'port': 95, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.31\nPORT 96 {'port': 96, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.31\nPORT 97 {'port': 97, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.31\nPORT 98 {'port': 98, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.32\nPORT 99 {'port': 99, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.32\nPORT 100 {'port': 100, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.32\nPORT 101 {'port': 101, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.33\nPORT 102 {'port': 102, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.34\nPORT 103 {'port': 103, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.34\nPORT 104 {'port': 104, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.34\nPORT 105 {'port': 105, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.34\nPORT 106 {'port': 106, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.35\nPORT 107 {'port': 107, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.35\nPORT 108 {'port': 108, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.36\nPORT 109 {'port': 109, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.36\nPORT 110 {'port': 110, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.36\nPORT 111 {'port': 111, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.36\n",
+ "stderr": ""
+ },
+ {
+ "script": "observer_probe.py",
+ "arguments": [
+ "--packet",
+ "/var/folders/y2/rqpdcbzj7_98322kfb3v7_kr0000gq/T/filtered-native-k004-jd502h16/original/filtered_native_implementation"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 29.263,
+ "stdout": "REPLAY 22137 full unique 4868 frames 1001\nFULL_BASIS 482 seconds 11.747563541983254\nFRAME 100 candidates 8 seconds 14.532684999983758\nFRAME 200 candidates 8 seconds 16.300811041961424\nFRAME 300 candidates 8 seconds 17.411950666981284\nFRAME 400 candidates 8 seconds 19.555217666958924\nFRAME 500 candidates 8 seconds 21.534933124959935\nFRAME 600 candidates 8 seconds 23.011849083006382\nFRAME 700 candidates 8 seconds 23.861389708006755\nFRAME 900 candidates 8 seconds 25.334949832991697\nFRAME 1100 candidates 8 seconds 27.192919082997832\nFRAME 1200 candidates 8 seconds 28.37131545797456\n{\"status\": \"NECESSARY_COSTED_LOWER_FRAME_OBSERVER_SCREEN\", \"all_ranks\": {\"0\": {\"contact_frames\": 1, \"candidate_directions\": 8, \"combined_R_mode_rank\": 8, \"one_lift_rank_per_direction\": 9}, \"1\": {\"contact_frames\": 115, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 8}, \"2\": {\"contact_frames\": 169, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 7}, \"3\": {\"contact_frames\": 168, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 6}, \"4\": {\"contact_frames\": 66, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 5}, \"5\": {\"contact_frames\": 46, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 4}, \"6\": {\"contact_frames\": 146, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 3}, \"7\": {\"contact_frames\": 168, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 2}, \"8\": {\"contact_frames\": 122, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 1}}, \"candidate_count\": 8, \"minimum_individually_clean_lift_rank_mass\": 72, \"recovered_mode_dimension\": 8, \"elapsed_seconds\": 28.881510582985356}\n",
+ "stderr": ""
+ },
+ {
+ "script": "paired_observer_probe.py",
+ "arguments": [
+ "--packet",
+ "/var/folders/y2/rqpdcbzj7_98322kfb3v7_kr0000gq/T/filtered-native-k004-jd502h16/original/filtered_native_implementation"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 0.299,
+ "stdout": "{\"status\": \"PAIRED_NOISY_OBSERVATION_SCREEN\", \"prime\": 65537, \"input_sha256\": \"9740e3a654f175a99014c94f574c55e22295b57659fb1bf306f9c16bfbbc7f44\", \"frames\": 428, \"pairs_tested_by_total_lift_rank\": {\"2\": 6441, \"3\": 19152, \"4\": 30672}, \"modular_hits\": 0, \"scope\": \"Fixed-vector augmentation; two same-frame gathers lifted to full, with summed lift rank at most the stated budget. Positive modular hits are rechecked over Q. A negative modular screen is discovery evidence only, not rational infeasibility; a rational positive is still short of the physical operator identity.\", \"new_kappa_claimed\": false, \"elapsed_seconds\": 0.1854645840357989}\n",
+ "stderr": ""
+ },
+ {
+ "script": "acceptance_budget.py",
+ "arguments": [],
+ "returncode": 0,
+ "elapsed_seconds": 0.57,
+ "stdout": "{\"status\": \"PASS_CONDITIONAL_BUDGET_ONLY_PHYSICAL_CONSTRUCTION_MISSING\", \"target_kappa\": \"1/250\", \"ordinary_BIT\": \"8119584599/2000000000000\", \"outer_failures\": [], \"admitted_construction\": false}\n",
+ "stderr": ""
+ },
+ {
+ "script": "independent_budget_check.py",
+ "arguments": [],
+ "returncode": 0,
+ "elapsed_seconds": 2.179,
+ "stdout": "PASS_INDEPENDENT_INTEGER_ROOT_RAW_BUDGET\n",
+ "stderr": ""
+ },
+ {
+ "script": "repeated_head_probe.py",
+ "arguments": [],
+ "returncode": 0,
+ "elapsed_seconds": 0.09,
+ "stdout": "{\"status\": \"REJECT_REPEATED_HEAD_AS_FRESH_STAGE_SUPPLIER\", \"cases\": [{\"pairs\": 2, \"literal_gate_records\": 21, \"recodings\": 9, \"gaussian_axis_support\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"maximum_literal_active_rank\": 9, \"advertised_maximum_target_rank\": 17, \"literal_middle_idle_field_jobs\": 224, \"literal_middle_idle_rank\": 9, \"invoice_middle_idle_field_jobs\": 0, \"direct_D_to_R_upgrade_rank_one_jobs\": 448, \"optimistic_surplus_after_direct_upgrade_ignoring_all_idles\": -336}, {\"pairs\": 19, \"literal_gate_records\": 259, \"recodings\": 77, \"gaussian_axis_support\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"maximum_literal_active_rank\": 9, \"advertised_maximum_target_rank\": 153, \"literal_middle_idle_field_jobs\": 4032, \"literal_middle_idle_rank\": 9, \"invoice_middle_idle_field_jobs\": 0, \"direct_D_to_R_upgrade_rank_one_jobs\": 4256, \"optimistic_surplus_after_direct_upgrade_ignoring_all_idles\": -2240}]}\n",
+ "stderr": ""
+ }
+ ],
+ "elapsed_seconds": 37.501
+}
diff --git a/research/filtered-native-kappa004/evidence/exact-pair-check-budget8.json b/research/filtered-native-kappa004/evidence/exact-pair-check-budget8.json
new file mode 100644
index 0000000000..364b25348c
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/exact-pair-check-budget8.json
@@ -0,0 +1,22 @@
+{
+ "status": "PASS_EXACT_TWO_FRAME_QUOTIENT_EXCLUSION",
+ "input_sha256": "9740e3a654f175a99014c94f574c55e22295b57659fb1bf306f9c16bfbbc7f44",
+ "maximum_total_lift_rank": 8,
+ "frames": 871,
+ "pairs_by_total_lift_rank": {
+ "2": 6441,
+ "3": 19152,
+ "4": 30672,
+ "5": 29430,
+ "6": 24991,
+ "7": 36014,
+ "8": 57591
+ },
+ "rational_exclusions_by_full_modular_minor": 202749,
+ "pairs_checked_by_rational_elimination": 1542,
+ "rational_hits": [],
+ "joint_noise_cancellation_positive_control": true,
+ "scope": "Exact finite-family exclusion in the necessary fixed-vector quotient: two arbitrary same-frame gathers at different contact frames, within the stated total full-lift rank. Not a bound for three or more frames, early feedback, changed source words or arbitrary physical programs.",
+ "new_kappa_claimed": false,
+ "elapsed_seconds": 1.3312654169858433
+}
diff --git a/research/filtered-native-kappa004/evidence/exact-pair-check.json b/research/filtered-native-kappa004/evidence/exact-pair-check.json
new file mode 100644
index 0000000000..e2667edd4e
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/exact-pair-check.json
@@ -0,0 +1,18 @@
+{
+ "status": "PASS_EXACT_TWO_FRAME_QUOTIENT_EXCLUSION",
+ "input_sha256": "9740e3a654f175a99014c94f574c55e22295b57659fb1bf306f9c16bfbbc7f44",
+ "maximum_total_lift_rank": 4,
+ "frames": 428,
+ "pairs_by_total_lift_rank": {
+ "2": 6441,
+ "3": 19152,
+ "4": 30672
+ },
+ "rational_exclusions_by_full_modular_minor": 55565,
+ "pairs_checked_by_rational_elimination": 700,
+ "rational_hits": [],
+ "joint_noise_cancellation_positive_control": true,
+ "scope": "Exact finite-family exclusion in the necessary fixed-vector quotient: two arbitrary same-frame gathers at different contact frames, within the stated total full-lift rank. Not a bound for three or more frames, early feedback, changed source words or arbitrary physical programs.",
+ "new_kappa_claimed": false,
+ "elapsed_seconds": 0.3249320830218494
+}
diff --git a/research/filtered-native-kappa004/evidence/feedback-scratch1.json b/research/filtered-native-kappa004/evidence/feedback-scratch1.json
new file mode 100644
index 0000000000..0c1377f7d3
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/feedback-scratch1.json
@@ -0,0 +1,2387 @@
+{
+ "status": "EXPLORATORY_NUMERICAL_FEEDBACK_SEARCH",
+ "results": [
+ {
+ "scratch_banks": 1,
+ "seed": 0,
+ "adam_iterations": 700,
+ "control_slots": 12,
+ "parameters": 588,
+ "normalized_mean_square_residual": 0.005608742239257191,
+ "maximum_entry_residual": 0.835996265799194,
+ "minimum_control_singular_value": 0.016524304349836795,
+ "numerical_hit": false,
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+ "scope": "128 balanced width-two sectors, all seven stage signs independent; one filtered stage; extra owned mode banks may be actively mixed. Necessary discovery model only; no rational or physical all-width endpoint is certified.",
+ "new_kappa_claimed": false,
+ "elapsed_seconds": 136.09899429196957
+}
diff --git a/research/filtered-native-kappa004/evidence/feedback-scratch2-internal.json b/research/filtered-native-kappa004/evidence/feedback-scratch2-internal.json
new file mode 100644
index 0000000000..0d0395985f
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/feedback-scratch2-internal.json
@@ -0,0 +1,3005 @@
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diff --git a/research/filtered-native-kappa004/evidence/history-grades.json b/research/filtered-native-kappa004/evidence/history-grades.json
new file mode 100644
index 0000000000..330a164316
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/history-grades.json
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diff --git a/research/filtered-native-kappa004/evidence/independent-budget.json b/research/filtered-native-kappa004/evidence/independent-budget.json
new file mode 100644
index 0000000000..2b370014cd
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+++ b/research/filtered-native-kappa004/evidence/independent-budget.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/integrity-controls.json b/research/filtered-native-kappa004/evidence/integrity-controls.json
new file mode 100644
index 0000000000..e30f0897ed
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/integrity-controls.json
@@ -0,0 +1,15 @@
+{
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+ "reason": "Dependency binding: research/higher-moment-strictification/verify.py"
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diff --git a/research/filtered-native-kappa004/evidence/observer-milp-mode0-budget8.json b/research/filtered-native-kappa004/evidence/observer-milp-mode0-budget8.json
new file mode 100644
index 0000000000..48c991232e
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+++ b/research/filtered-native-kappa004/evidence/observer-milp-mode0-budget8.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/observer-milp-mode0-budget9.json b/research/filtered-native-kappa004/evidence/observer-milp-mode0-budget9.json
new file mode 100644
index 0000000000..dcc12ab60f
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+++ b/research/filtered-native-kappa004/evidence/observer-milp-mode0-budget9.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/observer-milp-mode1-budget8.json b/research/filtered-native-kappa004/evidence/observer-milp-mode1-budget8.json
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index 0000000000..e0d15e9825
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+++ b/research/filtered-native-kappa004/evidence/observer-milp-mode1-budget8.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/observer-milp-mode2-budget8.json b/research/filtered-native-kappa004/evidence/observer-milp-mode2-budget8.json
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index 0000000000..9b99ca8dfc
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+++ b/research/filtered-native-kappa004/evidence/observer-milp-mode2-budget8.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/observer-milp-mode3-budget8.json b/research/filtered-native-kappa004/evidence/observer-milp-mode3-budget8.json
new file mode 100644
index 0000000000..a13aeb5e98
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+++ b/research/filtered-native-kappa004/evidence/observer-milp-mode3-budget8.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/observer-milp-mode4-budget8.json b/research/filtered-native-kappa004/evidence/observer-milp-mode4-budget8.json
new file mode 100644
index 0000000000..4ae05e2fbf
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+++ b/research/filtered-native-kappa004/evidence/observer-milp-mode4-budget8.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/observer-milp-mode5-budget8.json b/research/filtered-native-kappa004/evidence/observer-milp-mode5-budget8.json
new file mode 100644
index 0000000000..aec053ceed
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/observer-milp-mode5-budget8.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/observer-milp-mode6-budget8.json b/research/filtered-native-kappa004/evidence/observer-milp-mode6-budget8.json
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index 0000000000..5f91489a82
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+++ b/research/filtered-native-kappa004/evidence/observer-milp-mode6-budget8.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/observer-milp-mode7-budget8.json b/research/filtered-native-kappa004/evidence/observer-milp-mode7-budget8.json
new file mode 100644
index 0000000000..855cd5d559
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+++ b/research/filtered-native-kappa004/evidence/observer-milp-mode7-budget8.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/observer-probe.json b/research/filtered-native-kappa004/evidence/observer-probe.json
new file mode 100644
index 0000000000..94719b8336
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+++ b/research/filtered-native-kappa004/evidence/observer-probe.json
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+{
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diff --git a/research/filtered-native-kappa004/evidence/observer-subspaces.json.gz b/research/filtered-native-kappa004/evidence/observer-subspaces.json.gz
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index 0000000000..4ae134b898
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diff --git a/research/filtered-native-kappa004/evidence/paired-observer-probe.json b/research/filtered-native-kappa004/evidence/paired-observer-probe.json
new file mode 100644
index 0000000000..e692bc7b0c
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/paired-observer-probe.json
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+{
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+ "input_sha256": "9740e3a654f175a99014c94f574c55e22295b57659fb1bf306f9c16bfbbc7f44",
+ "frames": 428,
+ "pairs_tested_by_total_lift_rank": {
+ "2": 6441,
+ "3": 19152,
+ "4": 30672
+ },
+ "modular_hits": 0,
+ "rational_rechecks": [],
+ "scope": "Fixed-vector augmentation; two same-frame gathers lifted to full, with summed lift rank at most the stated budget. Positive modular hits are rechecked over Q. A negative modular screen is discovery evidence only, not rational infeasibility; a rational positive is still short of the physical operator identity.",
+ "new_kappa_claimed": false,
+ "elapsed_seconds": 0.4971016250201501
+}
diff --git a/research/filtered-native-kappa004/evidence/portable-predecessor-and-milp-replay.json b/research/filtered-native-kappa004/evidence/portable-predecessor-and-milp-replay.json
new file mode 100644
index 0000000000..0e68169bf8
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/portable-predecessor-and-milp-replay.json
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+{
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+ "commands": [
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+ "returncode": 0,
+ "elapsed_seconds": 1.054,
+ "stdout": "snapshots 424\nPORT 0 {'port': 0, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.6\nPORT 1 {'port': 1, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.61\nPORT 2 {'port': 2, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.61\nPORT 3 {'port': 3, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.62\nPORT 4 {'port': 4, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.63\nPORT 5 {'port': 5, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.63\nPORT 6 {'port': 6, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.64\nPORT 7 {'port': 7, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.64\nPORT 8 {'port': 8, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.64\nPORT 9 {'port': 9, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.65\nPORT 10 {'port': 10, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.65\nPORT 11 {'port': 11, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.65\nPORT 12 {'port': 12, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.65\nPORT 13 {'port': 13, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.66\nPORT 14 {'port': 14, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.66\nPORT 15 {'port': 15, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.66\nPORT 16 {'port': 16, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.66\nPORT 17 {'port': 17, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.67\nPORT 18 {'port': 18, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.68\nPORT 19 {'port': 19, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.68\nPORT 20 {'port': 20, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.68\nPORT 21 {'port': 21, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.68\nPORT 22 {'port': 22, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.69\nPORT 23 {'port': 23, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.7\nPORT 24 {'port': 24, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.7\nPORT 25 {'port': 25, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.7\nPORT 26 {'port': 26, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.71\nPORT 27 {'port': 27, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.71\nPORT 28 {'port': 28, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.71\nPORT 29 {'port': 29, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.72\nPORT 30 {'port': 30, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.72\nPORT 31 {'port': 31, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.73\nPORT 32 {'port': 32, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.73\nPORT 33 {'port': 33, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.74\nPORT 34 {'port': 34, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.74\nPORT 35 {'port': 35, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.75\nPORT 36 {'port': 36, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.75\nPORT 37 {'port': 37, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.75\nPORT 38 {'port': 38, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.75\nPORT 39 {'port': 39, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.76\nPORT 40 {'port': 40, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.76\nPORT 41 {'port': 41, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.76\nPORT 42 {'port': 42, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.77\nPORT 43 {'port': 43, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.77\nPORT 44 {'port': 44, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.77\nPORT 45 {'port': 45, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.77\nPORT 46 {'port': 46, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.78\nPORT 47 {'port': 47, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.78\nPORT 48 {'port': 48, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.78\nPORT 49 {'port': 49, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.79\nPORT 50 {'port': 50, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.79\nPORT 51 {'port': 51, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.79\nPORT 52 {'port': 52, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.79\nPORT 53 {'port': 53, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.8\nPORT 54 {'port': 54, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.8\nPORT 55 {'port': 55, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.8\nPORT 56 {'port': 56, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.81\nPORT 57 {'port': 57, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.81\nPORT 58 {'port': 58, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.81\nPORT 59 {'port': 59, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.82\nPORT 60 {'port': 60, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.82\nPORT 61 {'port': 61, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.82\nPORT 62 {'port': 62, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.82\nPORT 63 {'port': 63, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.82\nPORT 64 {'port': 64, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.83\nPORT 65 {'port': 65, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.83\nPORT 66 {'port': 66, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.83\nPORT 67 {'port': 67, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.84\nPORT 68 {'port': 68, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.84\nPORT 69 {'port': 69, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.85\nPORT 70 {'port': 70, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.85\nPORT 71 {'port': 71, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.85\nPORT 72 {'port': 72, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.85\nPORT 73 {'port': 73, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.86\nPORT 74 {'port': 74, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.86\nPORT 75 {'port': 75, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.86\nPORT 76 {'port': 76, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.87\nPORT 77 {'port': 77, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.87\nPORT 78 {'port': 78, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.87\nPORT 79 {'port': 79, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.87\nPORT 80 {'port': 80, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.88\nPORT 81 {'port': 81, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.88\nPORT 82 {'port': 82, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.88\nPORT 83 {'port': 83, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.88\nPORT 84 {'port': 84, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.89\nPORT 85 {'port': 85, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.89\nPORT 86 {'port': 86, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.89\nPORT 87 {'port': 87, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.89\nPORT 88 {'port': 88, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.9\nPORT 89 {'port': 89, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.9\nPORT 90 {'port': 90, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.9\nPORT 91 {'port': 91, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.9\nPORT 92 {'port': 92, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.91\nPORT 93 {'port': 93, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.91\nPORT 94 {'port': 94, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.91\nPORT 95 {'port': 95, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.91\nPORT 96 {'port': 96, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.92\nPORT 97 {'port': 97, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.92\nPORT 98 {'port': 98, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.92\nPORT 99 {'port': 99, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.92\nPORT 100 {'port': 100, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.93\nPORT 101 {'port': 101, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.93\nPORT 102 {'port': 102, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 103 {'port': 103, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 104 {'port': 104, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 105 {'port': 105, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 106 {'port': 106, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 107 {'port': 107, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.95\nPORT 108 {'port': 108, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.95\nPORT 109 {'port': 109, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.95\nPORT 110 {'port': 110, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.96\nPORT 111 {'port': 111, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.96\n",
+ "stderr": ""
+ },
+ {
+ "script": "observer_probe.py",
+ "arguments": [
+ "--packet",
+ "/var/folders/y2/rqpdcbzj7_98322kfb3v7_kr0000gq/T/filtered-native-k004-tf8ekmbp/original/filtered_native_implementation"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 23.215,
+ "stdout": "REPLAY 22137 full unique 4868 frames 1001\nFULL_BASIS 482 seconds 8.202807708003093\nFRAME 100 candidates 8 seconds 10.536552915989887\nFRAME 200 candidates 8 seconds 11.9349546659505\nFRAME 300 candidates 8 seconds 12.927402290981263\nFRAME 400 candidates 8 seconds 14.822741457959637\nFRAME 500 candidates 8 seconds 16.391570749983657\nFRAME 600 candidates 8 seconds 17.783947374962736\nFRAME 700 candidates 8 seconds 18.54885599995032\nFRAME 900 candidates 8 seconds 19.8658721660031\nFRAME 1100 candidates 8 seconds 21.472846832999494\nFRAME 1200 candidates 8 seconds 22.510406457993668\n{\"status\": \"NECESSARY_COSTED_LOWER_FRAME_OBSERVER_SCREEN\", \"all_ranks\": {\"0\": {\"contact_frames\": 1, \"candidate_directions\": 8, \"combined_R_mode_rank\": 8, \"one_lift_rank_per_direction\": 9}, \"1\": {\"contact_frames\": 115, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 8}, \"2\": {\"contact_frames\": 169, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 7}, \"3\": {\"contact_frames\": 168, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 6}, \"4\": {\"contact_frames\": 66, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 5}, \"5\": {\"contact_frames\": 46, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 4}, \"6\": {\"contact_frames\": 146, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 3}, \"7\": {\"contact_frames\": 168, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 2}, \"8\": {\"contact_frames\": 122, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 1}}, \"candidate_count\": 8, \"minimum_individually_clean_lift_rank_mass\": 72, \"recovered_mode_dimension\": 8, \"elapsed_seconds\": 22.957581666007172}\n",
+ "stderr": ""
+ },
+ {
+ "script": "paired_observer_probe.py",
+ "arguments": [
+ "--packet",
+ "/var/folders/y2/rqpdcbzj7_98322kfb3v7_kr0000gq/T/filtered-native-k004-tf8ekmbp/original/filtered_native_implementation"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 0.261,
+ "stdout": "{\"status\": \"PAIRED_NOISY_OBSERVATION_SCREEN\", \"prime\": 65537, \"input_sha256\": \"9740e3a654f175a99014c94f574c55e22295b57659fb1bf306f9c16bfbbc7f44\", \"frames\": 428, \"pairs_tested_by_total_lift_rank\": {\"2\": 6441, \"3\": 19152, \"4\": 30672}, \"modular_hits\": 0, \"scope\": \"Fixed-vector augmentation; two same-frame gathers lifted to full, with summed lift rank at most the stated budget. Positive modular hits are rechecked over Q. A negative modular screen is discovery evidence only, not rational infeasibility; a rational positive is still short of the physical operator identity.\", \"new_kappa_claimed\": false, \"elapsed_seconds\": 0.1557269999757409}\n",
+ "stderr": ""
+ },
+ {
+ "script": "acceptance_budget.py",
+ "arguments": [],
+ "returncode": 0,
+ "elapsed_seconds": 0.501,
+ "stdout": "{\"status\": \"PASS_CONDITIONAL_BUDGET_ONLY_PHYSICAL_CONSTRUCTION_MISSING\", \"target_kappa\": \"1/250\", \"ordinary_BIT\": \"8119584599/2000000000000\", \"outer_failures\": [], \"admitted_construction\": false}\n",
+ "stderr": ""
+ },
+ {
+ "script": "independent_budget_check.py",
+ "arguments": [],
+ "returncode": 0,
+ "elapsed_seconds": 1.921,
+ "stdout": "PASS_INDEPENDENT_INTEGER_ROOT_RAW_BUDGET\n",
+ "stderr": ""
+ },
+ {
+ "script": "repeated_head_probe.py",
+ "arguments": [],
+ "returncode": 0,
+ "elapsed_seconds": 0.087,
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+ ],
+ "power": 2
+ }
+ ]
+ }
+ ],
+ "scope": "The literal main-path listing at this pinned head, its axis dispatch and its mismatch with the advertised invoice. This does not refute a different fresh-stage construction or all coded reverse callers.",
+ "support_argument": "At column width f every literal Q, R and K acts on the same nine f-bit coordinate blocks. Each original-to-output matrix block has row support at most 2^(9f). A rank-r Gaussian has row support 2^(rf). Fixed finite ordinary owner mixing and monomial boundary recodings cannot bridge this gap for r>9 at all widths.",
+ "gauge_replay_limit": "Equality to a reference word using the same reused R proves gauge equivalence only. It does not prove independent-stage target ranks or that a native D call supplies an R letter.",
+ "direct_upgrade_limit": "The 224 H1 per native call is the explicit post-Q-on-both-banks recipe, not a lower bound against every redesigned implementation.",
+ "new_kappa_claimed": false
+}
diff --git a/research/filtered-native-kappa004/evidence/snapshot-probe.json b/research/filtered-native-kappa004/evidence/snapshot-probe.json
new file mode 100644
index 0000000000..3c8bc219da
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/snapshot-probe.json
@@ -0,0 +1,917 @@
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+ },
+ {
+ "port": 93,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 94,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 95,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 96,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 97,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 98,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 99,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 100,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 101,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 102,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 103,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 104,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 105,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 106,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 107,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 108,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 109,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 110,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ },
+ {
+ "port": 111,
+ "ordinary_recoded_candidate_rows": 3,
+ "independent_rows": 3,
+ "recovered": false,
+ "residual_terms": 2,
+ "native_Y_exit_control": true
+ }
+ ],
+ "scope": "Backward native word, rank-eight snapshot arrivals; align one target input term by an inverse existing native word. Exact free-group rows. Negative results do not exclude additional group relations or arbitrary ordinary recodings.",
+ "physical_binding": "Every candidate transport is tested with the actual conjugate K_G and raw-dual canonical-frame tableaus; its B block has rank zero. A positive recipe would still need literal absolute-phase normalizers and caller wrapper checks.",
+ "new_kappa": false,
+ "elapsed_seconds": 1.1098710829974152
+}
diff --git a/research/filtered-native-kappa004/evidence/submission-replay.json b/research/filtered-native-kappa004/evidence/submission-replay.json
new file mode 100644
index 0000000000..853c0628fe
--- /dev/null
+++ b/research/filtered-native-kappa004/evidence/submission-replay.json
@@ -0,0 +1,97 @@
+{
+ "status": "PASS_SCOPED_CONTINUATION_NO_NEW_KAPPA",
+ "new_kappa_claimed": false,
+ "admitted_construction": false,
+ "source_manifest_sha256": "d00b374ef4d2606395107f2ca4f655ff6a8380ad78f5606151b0422cbec8493c",
+ "python": "3.11.11 (main, Dec 7 2024, 10:43:09) [Clang 15.0.0 (clang-1500.3.9.4)]",
+ "commands": [
+ {
+ "script": "history_grade_probe.py",
+ "arguments": [
+ "--packet",
+ "/var/folders/y2/rqpdcbzj7_98322kfb3v7_kr0000gq/T/filtered-native-k004-ah7ufx5s/original/filtered_native_implementation"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 1.694,
+ "stdout": "HISTORY 5000 grade evaluations CacheInfo(hits=0, misses=112, maxsize=None, currsize=112) full-rank witnesses 0\nHISTORY 10000 grade evaluations CacheInfo(hits=0, misses=196, maxsize=None, currsize=196) full-rank witnesses 0\nHISTORY 15000 grade evaluations CacheInfo(hits=0, misses=1648, maxsize=None, currsize=1648) full-rank witnesses 0\nHISTORY 20000 grade evaluations CacheInfo(hits=0, misses=2965, maxsize=None, currsize=2965) full-rank witnesses 0\n{\"status\": \"ACTUAL_PHASE_AWARE_NATIVE_HISTORY_SUPPORT_SCREEN\", \"maximum_snapshot_source_grade\": 8, \"unique_physical_source_terms\": 2965, \"support_bound_applicable\": true, \"elapsed_seconds\": 1.5621904169674963}\n",
+ "stderr": ""
+ },
+ {
+ "script": "snapshot_probe.py",
+ "arguments": [
+ "--packet",
+ "/var/folders/y2/rqpdcbzj7_98322kfb3v7_kr0000gq/T/filtered-native-k004-ah7ufx5s/original/filtered_native_implementation"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 1.11,
+ "stdout": "snapshots 424\nPORT 0 {'port': 0, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.64\nPORT 1 {'port': 1, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.65\nPORT 2 {'port': 2, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.65\nPORT 3 {'port': 3, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.66\nPORT 4 {'port': 4, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.67\nPORT 5 {'port': 5, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.67\nPORT 6 {'port': 6, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.67\nPORT 7 {'port': 7, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.68\nPORT 8 {'port': 8, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.68\nPORT 9 {'port': 9, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.68\nPORT 10 {'port': 10, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.68\nPORT 11 {'port': 11, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.69\nPORT 12 {'port': 12, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.69\nPORT 13 {'port': 13, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.69\nPORT 14 {'port': 14, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.69\nPORT 15 {'port': 15, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.7\nPORT 16 {'port': 16, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.7\nPORT 17 {'port': 17, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.7\nPORT 18 {'port': 18, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.71\nPORT 19 {'port': 19, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.72\nPORT 20 {'port': 20, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.72\nPORT 21 {'port': 21, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.72\nPORT 22 {'port': 22, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.73\nPORT 23 {'port': 23, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.73\nPORT 24 {'port': 24, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.74\nPORT 25 {'port': 25, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.74\nPORT 26 {'port': 26, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.75\nPORT 27 {'port': 27, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.75\nPORT 28 {'port': 28, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.75\nPORT 29 {'port': 29, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.76\nPORT 30 {'port': 30, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.76\nPORT 31 {'port': 31, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.76\nPORT 32 {'port': 32, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.77\nPORT 33 {'port': 33, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.77\nPORT 34 {'port': 34, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.78\nPORT 35 {'port': 35, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.79\nPORT 36 {'port': 36, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.79\nPORT 37 {'port': 37, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.79\nPORT 38 {'port': 38, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.79\nPORT 39 {'port': 39, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.8\nPORT 40 {'port': 40, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.8\nPORT 41 {'port': 41, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.8\nPORT 42 {'port': 42, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.8\nPORT 43 {'port': 43, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.8\nPORT 44 {'port': 44, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.81\nPORT 45 {'port': 45, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.81\nPORT 46 {'port': 46, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.81\nPORT 47 {'port': 47, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.81\nPORT 48 {'port': 48, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.82\nPORT 49 {'port': 49, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.82\nPORT 50 {'port': 50, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.83\nPORT 51 {'port': 51, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.83\nPORT 52 {'port': 52, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.83\nPORT 53 {'port': 53, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.83\nPORT 54 {'port': 54, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.84\nPORT 55 {'port': 55, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.84\nPORT 56 {'port': 56, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.84\nPORT 57 {'port': 57, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.85\nPORT 58 {'port': 58, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.85\nPORT 59 {'port': 59, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.85\nPORT 60 {'port': 60, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.86\nPORT 61 {'port': 61, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.86\nPORT 62 {'port': 62, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.86\nPORT 63 {'port': 63, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.86\nPORT 64 {'port': 64, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.87\nPORT 65 {'port': 65, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.87\nPORT 66 {'port': 66, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.87\nPORT 67 {'port': 67, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.88\nPORT 68 {'port': 68, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.88\nPORT 69 {'port': 69, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.89\nPORT 70 {'port': 70, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.89\nPORT 71 {'port': 71, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.89\nPORT 72 {'port': 72, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.89\nPORT 73 {'port': 73, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.9\nPORT 74 {'port': 74, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.9\nPORT 75 {'port': 75, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.9\nPORT 76 {'port': 76, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.91\nPORT 77 {'port': 77, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.91\nPORT 78 {'port': 78, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.91\nPORT 79 {'port': 79, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.91\nPORT 80 {'port': 80, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.92\nPORT 81 {'port': 81, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.92\nPORT 82 {'port': 82, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.92\nPORT 83 {'port': 83, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.92\nPORT 84 {'port': 84, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.93\nPORT 85 {'port': 85, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.93\nPORT 86 {'port': 86, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.93\nPORT 87 {'port': 87, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 88 {'port': 88, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 89 {'port': 89, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 90 {'port': 90, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.94\nPORT 91 {'port': 91, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.95\nPORT 92 {'port': 92, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.95\nPORT 93 {'port': 93, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.95\nPORT 94 {'port': 94, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.95\nPORT 95 {'port': 95, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.96\nPORT 96 {'port': 96, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.96\nPORT 97 {'port': 97, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.96\nPORT 98 {'port': 98, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.97\nPORT 99 {'port': 99, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.97\nPORT 100 {'port': 100, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.97\nPORT 101 {'port': 101, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.97\nPORT 102 {'port': 102, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.98\nPORT 103 {'port': 103, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.98\nPORT 104 {'port': 104, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.99\nPORT 105 {'port': 105, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.99\nPORT 106 {'port': 106, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.99\nPORT 107 {'port': 107, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 0.99\nPORT 108 {'port': 108, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.0\nPORT 109 {'port': 109, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.0\nPORT 110 {'port': 110, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.0\nPORT 111 {'port': 111, 'ordinary_recoded_candidate_rows': 3, 'independent_rows': 3, 'recovered': False, 'residual_terms': 2, 'native_Y_exit_control': True} seconds 1.0\n",
+ "stderr": ""
+ },
+ {
+ "script": "observer_probe.py",
+ "arguments": [
+ "--packet",
+ "/var/folders/y2/rqpdcbzj7_98322kfb3v7_kr0000gq/T/filtered-native-k004-ah7ufx5s/original/filtered_native_implementation"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 24.354,
+ "stdout": "REPLAY 22137 full unique 4868 frames 1001\nFULL_BASIS 482 seconds 8.771974791015964\nFRAME 100 candidates 8 seconds 11.242642958008219\nFRAME 200 candidates 8 seconds 12.708780125016347\nFRAME 300 candidates 8 seconds 13.759489083022345\nFRAME 400 candidates 8 seconds 15.71126616600668\nFRAME 500 candidates 8 seconds 17.37769254099112\nFRAME 600 candidates 8 seconds 18.74019224999938\nFRAME 700 candidates 8 seconds 19.528414833010174\nFRAME 900 candidates 8 seconds 20.88025045802351\nFRAME 1100 candidates 8 seconds 22.552593291038647\nFRAME 1200 candidates 8 seconds 23.65709366602823\n{\"status\": \"NECESSARY_COSTED_LOWER_FRAME_OBSERVER_SCREEN\", \"all_ranks\": {\"0\": {\"contact_frames\": 1, \"candidate_directions\": 8, \"combined_R_mode_rank\": 8, \"one_lift_rank_per_direction\": 9}, \"1\": {\"contact_frames\": 115, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 8}, \"2\": {\"contact_frames\": 169, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 7}, \"3\": {\"contact_frames\": 168, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 6}, \"4\": {\"contact_frames\": 66, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 5}, \"5\": {\"contact_frames\": 46, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 4}, \"6\": {\"contact_frames\": 146, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 3}, \"7\": {\"contact_frames\": 168, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 2}, \"8\": {\"contact_frames\": 122, \"candidate_directions\": 0, \"combined_R_mode_rank\": 0, \"one_lift_rank_per_direction\": 1}}, \"candidate_count\": 8, \"minimum_individually_clean_lift_rank_mass\": 72, \"recovered_mode_dimension\": 8, \"elapsed_seconds\": 24.118613166036084}\n",
+ "stderr": ""
+ },
+ {
+ "script": "paired_observer_probe.py",
+ "arguments": [
+ "--packet",
+ "/var/folders/y2/rqpdcbzj7_98322kfb3v7_kr0000gq/T/filtered-native-k004-ah7ufx5s/original/filtered_native_implementation"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 0.279,
+ "stdout": "{\"status\": \"PAIRED_NOISY_OBSERVATION_SCREEN\", \"prime\": 65537, \"input_sha256\": \"9740e3a654f175a99014c94f574c55e22295b57659fb1bf306f9c16bfbbc7f44\", \"frames\": 428, \"pairs_tested_by_total_lift_rank\": {\"2\": 6441, \"3\": 19152, \"4\": 30672}, \"modular_hits\": 0, \"scope\": \"Fixed-vector augmentation; two same-frame gathers lifted to full, with summed lift rank at most the stated budget. Positive modular hits are rechecked over Q. A negative modular screen is discovery evidence only, not rational infeasibility; a rational positive is still short of the physical operator identity.\", \"new_kappa_claimed\": false, \"elapsed_seconds\": 0.1665058340295218}\n",
+ "stderr": ""
+ },
+ {
+ "script": "exact_pair_check.py",
+ "arguments": [],
+ "returncode": 0,
+ "elapsed_seconds": 0.339,
+ "stdout": "{\"status\": \"PASS_EXACT_TWO_FRAME_QUOTIENT_EXCLUSION\", \"input_sha256\": \"9740e3a654f175a99014c94f574c55e22295b57659fb1bf306f9c16bfbbc7f44\", \"maximum_total_lift_rank\": 4, \"frames\": 428, \"pairs_by_total_lift_rank\": {\"2\": 6441, \"3\": 19152, \"4\": 30672}, \"rational_exclusions_by_full_modular_minor\": 55565, \"pairs_checked_by_rational_elimination\": 700, \"rational_hits\": [], \"joint_noise_cancellation_positive_control\": true, \"scope\": \"Exact finite-family exclusion in the necessary fixed-vector quotient: two arbitrary same-frame gathers at different contact frames, within the stated total full-lift rank. Not a bound for three or more frames, early feedback, changed source words or arbitrary physical programs.\", \"new_kappa_claimed\": false, \"elapsed_seconds\": 0.23928279196843505}\n",
+ "stderr": ""
+ },
+ {
+ "script": "acceptance_budget.py",
+ "arguments": [],
+ "returncode": 0,
+ "elapsed_seconds": 0.512,
+ "stdout": "{\"status\": \"PASS_CONDITIONAL_BUDGET_ONLY_PHYSICAL_CONSTRUCTION_MISSING\", \"target_kappa\": \"1/250\", \"ordinary_BIT\": \"8119584599/2000000000000\", \"outer_failures\": [], \"admitted_construction\": false}\n",
+ "stderr": ""
+ },
+ {
+ "script": "independent_budget_check.py",
+ "arguments": [],
+ "returncode": 0,
+ "elapsed_seconds": 1.846,
+ "stdout": "PASS_INDEPENDENT_INTEGER_ROOT_RAW_BUDGET\n",
+ "stderr": ""
+ },
+ {
+ "script": "repeated_head_probe.py",
+ "arguments": [],
+ "returncode": 0,
+ "elapsed_seconds": 0.09,
+ "stdout": "{\"status\": \"REJECT_REPEATED_HEAD_AS_FRESH_STAGE_SUPPLIER\", \"cases\": [{\"pairs\": 2, \"literal_gate_records\": 21, \"recodings\": 9, \"gaussian_axis_support\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"maximum_literal_active_rank\": 9, \"advertised_maximum_target_rank\": 17, \"literal_middle_idle_field_jobs\": 224, \"literal_middle_idle_rank\": 9, \"invoice_middle_idle_field_jobs\": 0, \"direct_D_to_R_upgrade_rank_one_jobs\": 448, \"optimistic_surplus_after_direct_upgrade_ignoring_all_idles\": -336}, {\"pairs\": 19, \"literal_gate_records\": 259, \"recodings\": 77, \"gaussian_axis_support\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"maximum_literal_active_rank\": 9, \"advertised_maximum_target_rank\": 153, \"literal_middle_idle_field_jobs\": 4032, \"literal_middle_idle_rank\": 9, \"invoice_middle_idle_field_jobs\": 0, \"direct_D_to_R_upgrade_rank_one_jobs\": 4256, \"optimistic_surplus_after_direct_upgrade_ignoring_all_idles\": -2240}]}\n",
+ "stderr": ""
+ },
+ {
+ "script": "exact_pair_check.py",
+ "arguments": [
+ "--maximum-cost",
+ "8"
+ ],
+ "returncode": 0,
+ "elapsed_seconds": 1.36,
+ "stdout": "{\"status\": \"PASS_EXACT_TWO_FRAME_QUOTIENT_EXCLUSION\", \"input_sha256\": \"9740e3a654f175a99014c94f574c55e22295b57659fb1bf306f9c16bfbbc7f44\", \"maximum_total_lift_rank\": 8, \"frames\": 871, \"pairs_by_total_lift_rank\": {\"2\": 6441, \"3\": 19152, \"4\": 30672, \"5\": 29430, \"6\": 24991, \"7\": 36014, \"8\": 57591}, \"rational_exclusions_by_full_modular_minor\": 202749, \"pairs_checked_by_rational_elimination\": 1542, \"rational_hits\": [], \"joint_noise_cancellation_positive_control\": true, \"scope\": \"Exact finite-family exclusion in the necessary fixed-vector quotient: two arbitrary same-frame gathers at different contact frames, within the stated total full-lift rank. Not a bound for three or more frames, early feedback, changed source words or arbitrary physical programs.\", \"new_kappa_claimed\": false, \"elapsed_seconds\": 1.261033667018637}\n",
+ "stderr": ""
+ }
+ ],
+ "elapsed_seconds": 33.055
+}
diff --git a/research/filtered-native-kappa004/exact_pair_check.py b/research/filtered-native-kappa004/exact_pair_check.py
new file mode 100644
index 0000000000..902424235c
--- /dev/null
+++ b/research/filtered-native-kappa004/exact_pair_check.py
@@ -0,0 +1,125 @@
+#!/usr/bin/env python3
+"""Exact rational check of the two-frame noisy observer family.
+
+Uses modular full-rank minors only as valid rational rank lower bounds;
+every deficient pair is checked over Q. Apache-2.0; OpenAI Codex assistance.
+"""
+from collections import Counter
+from fractions import Fraction as Q
+from hashlib import sha256
+from itertools import combinations
+from pathlib import Path
+import argparse
+import gzip
+import json
+import time
+
+from paired_observer_probe import insert as insert_mod, mod
+from snapshot_probe import need
+
+HERE = Path(__file__).resolve().parent
+
+
+def add(a, b, c):
+ for i, x in b.items():
+ y = a.get(i, Q(0))+c*x
+ if y:
+ a[i] = y
+ else:
+ a.pop(i, None)
+
+
+def insert(basis, row, tag):
+ row, tag = dict(row), dict(tag)
+ while row:
+ p = min(row)
+ if p not in basis:
+ a = row[p]
+ basis[p] = ({i: x/a for i, x in row.items()},
+ {i: x/a for i, x in tag.items()})
+ return None
+ b, t = basis[p]
+ a = row[p]
+ add(row, b, -a)
+ add(tag, t, -a)
+ return tag
+
+
+def main():
+ ap = argparse.ArgumentParser()
+ ap.add_argument('--maximum-cost', type=int, default=4)
+ args = ap.parse_args()
+ need(2 <= args.maximum_cost <= 8, 'Supported pair budget')
+ begin = time.monotonic()
+ control = {}
+ need(insert(control, {99: Q(1)}, {}) is None, 'First noisy control row')
+ need(insert(control, {99: Q(1)}, {0: Q(1)}) == {0: Q(1)},
+ 'Joint noise cancellation positive control')
+ path = HERE/'evidence/observer-subspaces.json.gz'
+ data = json.loads(gzip.decompress(path.read_bytes()))
+ target_basis = {}
+ for k, record in enumerate(data['targets']):
+ need(insert(target_basis, {int(i): Q(x) for i, x in record}, {k: Q(1)}) is None,
+ 'Independent target modes')
+ frames = []
+ for item in data['frames']:
+ if 9-item['rank'] >= args.maximum_cost:
+ continue
+ basis = {}
+ for record in item['rows']:
+ row = {int(i): Q(x) for i, x in record['row']}
+ tag = {}
+ for p, (b, t) in sorted(target_basis.items()):
+ a = row.get(p, 0)
+ if a:
+ add(row, b, -a)
+ add(tag, t, a)
+ need(not insert(basis, row, tag), 'No individually clean mode')
+ modular = {}
+ for row, tag in basis.values():
+ need(not insert_mod(modular, {i: mod(x) for i, x in row.items()},
+ {i: mod(x) for i, x in tag.items()}),
+ 'No spurious modular clean mode')
+ # Distinct rational pivots remain independent modulo the chosen prime.
+ need(len(modular) == len(basis), 'Per-frame rank preserved modulo prime')
+ if basis:
+ frames.append((item['frame'], item['rank'], basis, modular))
+ counts, minor_proofs, rational_checks, hits = Counter(), 0, 0, []
+ for a, b in combinations(frames, 2):
+ price = 18-a[1]-b[1]
+ if price > args.maximum_cost:
+ continue
+ counts[price] += 1
+ m = dict(a[3])
+ for row, tag in b[3].values():
+ insert_mod(m, row, tag)
+ if len(m) == len(a[2])+len(b[2]):
+ # Full column rank of the nuisance projection over F_p implies
+ # full column rank over Q, hence no intersection with target modes.
+ minor_proofs += 1
+ continue
+ rational_checks += 1
+ q = dict(a[2])
+ for row, tag in b[2].values():
+ relation = insert(q, row, tag)
+ if relation:
+ hits.append({'frames': [a[0], b[0]], 'cost': price,
+ 'mode_combination': {str(i): str(x) for i, x in relation.items()}})
+ need(not hits, 'Unexpected rational two-frame repair candidate')
+ out = {'status': 'PASS_EXACT_TWO_FRAME_QUOTIENT_EXCLUSION',
+ 'input_sha256': sha256(path.read_bytes()).hexdigest(),
+ 'maximum_total_lift_rank': args.maximum_cost,
+ 'frames': len(frames), 'pairs_by_total_lift_rank': dict(sorted(counts.items())),
+ 'rational_exclusions_by_full_modular_minor': minor_proofs,
+ 'pairs_checked_by_rational_elimination': rational_checks,
+ 'rational_hits': hits,
+ 'joint_noise_cancellation_positive_control': True,
+ 'scope': 'Exact finite-family exclusion in the necessary fixed-vector quotient: two arbitrary same-frame gathers at different contact frames, within the stated total full-lift rank. Not a bound for three or more frames, early feedback, changed source words or arbitrary physical programs.',
+ 'new_kappa_claimed': False, 'elapsed_seconds': time.monotonic()-begin}
+ name = 'exact-pair-check.json' if args.maximum_cost == 4 else f'exact-pair-check-budget{args.maximum_cost}.json'
+ (HERE/'evidence'/name).write_text(json.dumps(out, indent=2)+'\n')
+ print(json.dumps(out), flush=True)
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/feedback_search.py b/research/filtered-native-kappa004/feedback_search.py
new file mode 100644
index 0000000000..e4e1f63afa
--- /dev/null
+++ b/research/filtered-native-kappa004/feedback_search.py
@@ -0,0 +1,193 @@
+#!/usr/bin/env python3
+"""Exploratory finite feedback with actively written owned mode banks.
+
+This searches a necessary balanced width-two sector, retaining all seven
+independent stage signs. Numerical failure proves no impossibility. A hit
+must pass rational reconstruction and the full physical all-width program.
+Apache-2.0. Substantial OpenAI Codex assistance.
+"""
+from pathlib import Path
+import argparse
+import itertools
+import json
+import time
+import numpy as np
+import torch
+
+HERE = Path(__file__).resolve().parent
+
+
+def build(packet, scratch):
+ source = json.loads((packet/'upstream/research/kappa-rebuild/bit/COMPLEX-CONTROLLER-FACTOR.json').read_text())['selected_p3_keep43']
+ events = source['physical_events']
+ banks = 6+scratch
+ dim = 2*banks
+ sectors = list(itertools.product((1., -1.), repeat=7))
+ q = np.array([[0., 1.], [1., 0.]])
+ eye = np.eye(dim)
+ fixed, reference = [], []
+ # Controls are placed before every paid macro; constant bridges are
+ # absorbed by these general bank changes of basis.
+ for event in events:
+ kind = event[0]
+ batch, standard, internal = [], [], []
+ for signs in sectors:
+ m, old, correction = eye.copy(), eye.copy(), np.zeros_like(eye)
+ if kind == 'LOCAL':
+ _, s, pair, backward = event
+ x, y = 2*pair, 2*pair+1
+ if backward:
+ x, y = y, x
+ coupling = q*(-1 if backward else 1)
+ changed = coupling.copy()
+ if s == 0:
+ code = np.diag([1+14*(signs[0]-1), 1.])
+ changed = code @ coupling
+ d = signs[0]*q if s == 0 else signs[s]*np.eye(2)
+ for a in (m, old):
+ a[2*x:2*x+2, 2*x:2*x+2] = d
+ a[2*y:2*y+2, 2*y:2*y+2] = d
+ m[2*y:2*y+2, 2*x:2*x+2] = d @ changed
+ old[2*y:2*y+2, 2*x:2*x+2] = d @ coupling
+ if s == 0:
+ correction[2*y:2*y+2, 2*x:2*x+2] = d @ np.diag([1., 0.]) @ d
+ elif kind == 'IDLE':
+ _, pair, stages = event
+ d = np.eye(2)
+ for s in stages:
+ d = (signs[0]*q if s == 0 else signs[s]*np.eye(2)) @ d
+ for a in (m, old):
+ for b in (2*pair, 2*pair+1):
+ a[2*b:2*b+2, 2*b:2*b+2] = d
+ elif kind == 'ADD':
+ _, dst, src, *coef = event
+ for a in (m, old):
+ a[2*dst:2*dst+2, 2*src:2*src+2] = (coef[0] if coef else 1)*np.eye(2)
+ else:
+ assert kind in ('SWAP', 'SIGNED_SWAP')
+ _, x, y = event
+ for a in (m, old):
+ a[2*x:2*x+2, 2*x:2*x+2] = 0
+ a[2*y:2*y+2, 2*y:2*y+2] = 0
+ a[2*x:2*x+2, 2*y:2*y+2] = np.eye(2)
+ a[2*y:2*y+2, 2*x:2*x+2] = -np.eye(2)
+ batch.append(m)
+ standard.append(old)
+ internal.append(correction)
+ fixed.append((kind in ('LOCAL', 'IDLE'), torch.tensor(np.array(batch), dtype=torch.float64),
+ torch.tensor(np.array(internal), dtype=torch.float64)))
+ reference.append(torch.tensor(np.array(standard), dtype=torch.float64))
+ initial = torch.eye(dim, dtype=torch.float64)[:, :12].repeat(128, 1, 1)
+ target = initial.clone()
+ for m in reference:
+ target = m @ target
+ return banks, fixed, initial, target[:, :12, :]
+
+
+def run(packet, scratch, seed, steps, deadline, allow_internal):
+ torch.set_num_threads(1)
+ torch.manual_seed(seed)
+ banks, fixed, initial, target = build(packet, scratch)
+ slots = 1+sum(paid for paid, _, _ in fixed)
+ x = torch.nn.Parameter(.03*torch.randn(slots, banks, banks, dtype=torch.float64))
+ internal = torch.nn.Parameter(torch.tensor(-14. if allow_internal else 0., dtype=torch.float64),
+ requires_grad=allow_internal)
+ variables = [x, internal] if allow_internal else [x]
+ eye = torch.eye(banks, dtype=torch.float64)
+ scale = max(1., float((target*target).mean()))
+
+ def endpoint():
+ a = initial
+ slot = 0
+ for paid, op, correction in fixed:
+ if paid:
+ # I+M acts only on the ordinary selected-mode projection.
+ # A proposed hit is rejected if a control is singular.
+ z = (eye+x[slot]) @ a[:, ::2, :]
+ a = torch.stack((z, a[:, 1::2, :]), dim=2).flatten(1, 2)
+ slot += 1
+ a = (op+internal*correction) @ a
+ z = (eye+x[slot]) @ a[:, ::2, :]
+ a = torch.stack((z, a[:, 1::2, :]), dim=2).flatten(1, 2)
+ return a[:, :12, :]
+
+ opt = torch.optim.Adam(variables, lr=.025)
+ best = float('inf')
+ best_x = None
+ best_internal = None
+ iterations = 0
+ for step in range(steps):
+ if time.monotonic() >= deadline:
+ break
+ opt.zero_grad()
+ residual = endpoint()-target
+ loss = (residual*residual).mean()/scale
+ # Small regularizer discourages large interpolation coefficients;
+ # it is not included in the recorded endpoint residual.
+ (loss+1e-8*(x*x).mean()).backward()
+ torch.nn.utils.clip_grad_norm_(variables, 10.)
+ opt.step()
+ iterations += 1
+ if float(loss.detach()) < best:
+ best = float(loss.detach())
+ best_x = x.detach().clone()
+ best_internal = internal.detach().clone()
+ if step % 100 == 0:
+ print('SEARCH', scratch, seed, step, best, flush=True)
+ if best < 1e-22:
+ break
+ x.data.copy_(best_x)
+ internal.data.copy_(best_internal)
+ if time.monotonic() < deadline:
+ opt = torch.optim.LBFGS(variables, max_iter=100, tolerance_grad=1e-12,
+ tolerance_change=1e-15, line_search_fn='strong_wolfe')
+
+ def closure():
+ opt.zero_grad()
+ r = endpoint()-target
+ loss = (r*r).mean()/scale
+ loss.backward()
+ return loss
+
+ opt.step(closure)
+ residual = endpoint()-target
+ maximum = float(residual.detach().abs().max())
+ mean = float((residual.detach()**2).mean()/scale)
+ min_singular = min(float(torch.linalg.svdvals(eye+m).min()) for m in x.detach())
+ return {'scratch_banks': scratch, 'seed': seed, 'adam_iterations': iterations,
+ 'control_slots': slots, 'parameters': x.numel(),
+ 'normalized_mean_square_residual': mean, 'maximum_entry_residual': maximum,
+ 'minimum_control_singular_value': min_singular,
+ 'internal_source_feedback': allow_internal,
+ 'internal_feedback_coefficient': float(internal.detach()),
+ 'numerical_hit': maximum < 1e-9 and min_singular > 1e-8,
+ 'controls': x.detach().tolist()}
+
+
+def main():
+ ap = argparse.ArgumentParser()
+ ap.add_argument('--packet', type=Path, required=True)
+ ap.add_argument('--seconds', type=int, default=240)
+ ap.add_argument('--steps', type=int, default=1000)
+ ap.add_argument('--scratch', type=int, default=1)
+ ap.add_argument('--internal', action='store_true')
+ args = ap.parse_args()
+ begin = time.monotonic()
+ results = []
+ for seed in range(3):
+ if time.monotonic()-begin >= args.seconds:
+ break
+ r = run(args.packet, args.scratch, seed, args.steps, begin+args.seconds, args.internal)
+ results.append(r)
+ print('RESULT', {k: v for k, v in r.items() if k != 'controls'}, flush=True)
+ if r['numerical_hit']:
+ break
+ out = {'status': 'EXPLORATORY_NUMERICAL_FEEDBACK_SEARCH', 'results': results,
+ 'scope': '128 balanced width-two sectors, all seven stage signs independent; one filtered stage; extra owned mode banks may be actively mixed. Necessary discovery model only; no rational or physical all-width endpoint is certified.',
+ 'new_kappa_claimed': False, 'elapsed_seconds': time.monotonic()-begin}
+ suffix = '-internal' if args.internal else ''
+ (HERE/f'evidence/feedback-scratch{args.scratch}{suffix}.json').write_text(json.dumps(out, indent=2)+'\n')
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/history_grade_probe.py b/research/filtered-native-kappa004/history_grade_probe.py
new file mode 100644
index 0000000000..9e92606490
--- /dev/null
+++ b/research/filtered-native-kappa004/history_grade_probe.py
@@ -0,0 +1,141 @@
+#!/usr/bin/env python3
+"""Price the support of every source-X term in actual native history.
+
+Unlike a phase-erased G-matrix test, this uses the actual phase-sensitive
+native K_G tableau and conjugate raw-dual frame conventions.
+Apache-2.0. Substantial OpenAI Codex assistance.
+"""
+from collections import Counter, defaultdict
+from fractions import Fraction as Q
+from functools import lru_cache
+from hashlib import sha256
+from pathlib import Path
+import argparse
+import gzip
+import json
+import sys
+import time
+
+from snapshot_probe import load, need
+
+HERE = Path(__file__).resolve().parent
+
+
+def main():
+ ap = argparse.ArgumentParser()
+ ap.add_argument('--packet', type=Path, required=True)
+ ap.add_argument('--output', type=Path, default=HERE/'evidence/history-grades.json')
+ args = ap.parse_args()
+ root, start = args.packet, time.monotonic()
+ source = root/'research/native_contact/SCALED-GLOBAL-CANCEL-WORD.json.gz'
+ raw = source.read_bytes()
+ w = json.loads(gzip.decompress(raw))
+ c = w['canonical']
+ sys.path.insert(0, str(root/'research/retained_state_next'))
+ kg = load('history_grade_kg', root/'research/retained_state_next/consumer_kg_module.py')
+ ce = load('history_grade_ce', kg.CLIFFORD)
+ review = load('history_grade_review', root/'research/retained_state_next/review_kg_full_frame_kernel.py')
+ group = kg.PhaseGroup(ce, c, True)
+
+ @lru_cache(None)
+ def frame(f):
+ return review.conjugate(ce, ce.canonical_frame(9, c['frames'][f]))
+
+ @lru_cache(None)
+ def grade(f, op, origin):
+ actual = frame(c['start'][origin]).adjoint().then(group.ops[op]).then(frame(f))
+ return ce.rank([x for x, z, p in actual.tab[9:]])
+
+ rows = [{(i, 0): Q(1)} for i in range(632)]+[{}]
+ cur = c['start'][:]+[None]
+ all_terms = [set() for _ in range(112)]
+ census = [Counter() for _ in range(112)]
+ high = []
+ peak_row = 0
+ observed = 0
+
+ def observe(d, pos):
+ nonlocal peak_row, observed
+ if cur[d] is None:
+ return
+ observed += 1
+ src = [((i, op), a) for (i, op), a in rows[d].items() if i < 112]
+ peak_row = max(peak_row, len(src))
+ for (i, op), a in src:
+ key = cur[d], op
+ if key in all_terms[i]:
+ continue
+ all_terms[i].add(key)
+ g = grade(cur[d], op, i)
+ census[i][g] += 1
+ if g == 9 and len(high) < 12:
+ high.append({'origin': i, 'owner': d, 'after_event': pos,
+ 'frame': cur[d], 'native_word': group.word[op],
+ 'coefficient': str(a)})
+
+ for i in range(632):
+ observe(i, -1)
+ for pos, e in enumerate(w['programs']['backward']):
+ typ, d = e[0], None
+ if typ == 'scalar':
+ a, f = e[1:]
+ d = a[1][1]+632*(a[1][0] == 'C')
+ if a[0] == 'clear':
+ need(d == 632, 'Owned clear')
+ rows[d], cur[d] = {}, f
+ elif a[0] in ('add', 'copy'):
+ s = a[2][1]+632*(a[2][0] == 'C')
+ need(cur[s] == cur[d] == f, 'Literal scalar frame')
+ if a[0] == 'copy':
+ rows[d] = dict(rows[s])
+ else:
+ kg.add(rows[d], rows[s], Q(a[3], a[4]))
+ else:
+ need(a[0] == 'scale', 'Known scalar')
+ rows[d] = {k: a0*Q(a[2], a[3]) for k, a0 in rows[d].items() if a[2]*a0}
+ elif typ == 'warp':
+ d = e[1][1]+632*(e[1][0] == 'C')
+ need(cur[d] == e[3], 'Warp frame')
+ rows[d] = group.left(group.letters[e[2]], rows[d])
+ cur[d] = e[4]
+ elif typ in ('climb', 'center'):
+ d, old, new, rank = e[2:] if typ == 'climb' else (632+e[1], *e[2:])
+ need(cur[d] == old, 'Paid entrance')
+ cur[d] = new
+ else:
+ need(typ in ('phase', 'adapter', 'residual_adapter'), 'Known event')
+ if d is not None:
+ observe(d, pos)
+ if pos and pos % 5000 == 0:
+ print('HISTORY', pos, 'grade evaluations', grade.cache_info(),
+ 'full-rank witnesses', len(high), flush=True)
+ for i in range(632):
+ expected = {(i, 0): Q(1)}
+ if i < 112:
+ expected[i+112, 0] = Q(-1)
+ need(rows[i] == expected, 'All 632 independent inputs and helpers')
+ need(not rows[632], 'Owned return')
+ targets = []
+ for i in range(112):
+ op = frame(c['start'][i]).adjoint().then(frame(c['final'][112+i]))
+ r = ce.rank([x for x, z, p in op.tab[9:]])
+ need(r == 9, 'Missing thin-query X coefficient is full rank nine')
+ targets.append(r)
+ bound = max(max(row) for row in census)
+ out = {'status': 'ACTUAL_PHASE_AWARE_NATIVE_HISTORY_SUPPORT_SCREEN',
+ 'source_sha256': sha256(raw).hexdigest(), 'arbitrary_originals': 632,
+ 'snapshots_observed': observed, 'unique_physical_source_terms': grade.cache_info().currsize,
+ 'per_origin_grade_counts': [dict(sorted(row.items())) for row in census],
+ 'maximum_snapshot_source_grade': bound, 'target_source_grades': targets,
+ 'rank_nine_term_witnesses': high, 'maximum_row_source_terms': peak_row,
+ 'all_original_endpoints': True, 'owned_final_zero': True,
+ 'support_bound_applicable': bound < 9,
+ 'scope': 'Actual backward native history and the fresh X column of a following thin query. Grade counts alone are not a reconstruction or a general paid-cache lower bound.',
+ 'new_kappa': False, 'elapsed_seconds': time.monotonic()-start}
+ args.output.write_text(json.dumps(out, indent=2)+'\n')
+ print(json.dumps({k: out[k] for k in ('status', 'maximum_snapshot_source_grade',
+ 'unique_physical_source_terms', 'support_bound_applicable', 'elapsed_seconds')}), flush=True)
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/independent_budget_check.py b/research/filtered-native-kappa004/independent_budget_check.py
new file mode 100644
index 0000000000..8e05a48c59
--- /dev/null
+++ b/research/filtered-native-kappa004/independent_budget_check.py
@@ -0,0 +1,71 @@
+#!/usr/bin/env python3
+"""Independent algebraic-root enclosures for the raw kappa=1/250 budget.
+
+Uses integer roots, without the retained logarithm/exponential engine.
+This checks hypothetical invoices, never the existence of their words.
+Apache-2.0; substantial OpenAI Codex assistance.
+"""
+from fractions import Fraction as Q
+from pathlib import Path
+import json
+
+from acceptance_budget import invoice
+from snapshot_probe import need
+
+HERE = Path(__file__).resolve().parent
+GRID = 2**80
+
+
+def root_floor(n, k):
+ x = 1 << ((n.bit_length()+k-1)//k)
+ while True:
+ y = ((k-1)*x+n//x**(k-1))//k
+ if y >= x:
+ break
+ x = y
+ need(x**k <= n < (x+1)**k, 'Certified integer root')
+ return x
+
+
+def power_bounds(rank):
+ radicand = rank**249*GRID**250
+ a = root_floor(radicand, 250)
+ return Q(a, GRID), Q(a+1, GRID)
+
+
+def margin(kind, replacements):
+ target, paid = invoice(kind, replacements)
+ lo = hi = Q(0)
+ for rank in set(target) | set(paid):
+ n = target[rank]-paid[rank]
+ a, b = power_bounds(rank)
+ lo += n*(a if n >= 0 else b)
+ hi += n*(b if n >= 0 else a)
+ return lo, hi
+
+
+def main():
+ retained = json.loads((HERE/'evidence/acceptance-budget.json').read_text())
+ rows = {}
+ for kind, minimum in [('complex', 3), ('bit', 2)]:
+ rows[kind] = {}
+ for count in range(5):
+ a, b = margin(kind, count)
+ old = retained['minimum_replacements_in_this_model'][kind]['raw_margins_at_kappa_004'][str(count)]
+ old_a, old_b = Q(old['lower']), Q(old['upper'])
+ need(max(a, old_a) <= min(b, old_b), 'Independent enclosures intersect')
+ need((a > 0) == (count >= minimum), 'Exact conditional center threshold')
+ rows[kind][str(count)] = [str(a), str(b)]
+ # Deliberately altered inventories must lose their strict margin.
+ need(margin('complex', 2)[1] < 0 and margin('bit', 1)[1] < 0,
+ 'One fewer replacement is rejected')
+ out = {'status': 'PASS_INDEPENDENT_INTEGER_ROOT_RAW_BUDGET',
+ 'exponent': '249/250', 'denominator_grid': str(GRID),
+ 'margins': rows, 'new_kappa_claimed': False,
+ 'scope': 'Independent exact algebraic-root bounds for the raw hypothetical moment invoices. Compiler, outer ledger and physical words are separate obligations.'}
+ (HERE/'evidence/independent-budget.json').write_text(json.dumps(out, indent=2)+'\n')
+ print(out['status'])
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/inputs/original-packet.tar.gz b/research/filtered-native-kappa004/inputs/original-packet.tar.gz
new file mode 100644
index 0000000000..7f904307bd
Binary files /dev/null and b/research/filtered-native-kappa004/inputs/original-packet.tar.gz differ
diff --git a/research/filtered-native-kappa004/inputs/pr5270_p19_word.py b/research/filtered-native-kappa004/inputs/pr5270_p19_word.py
new file mode 100644
index 0000000000..6522cf370b
--- /dev/null
+++ b/research/filtered-native-kappa004/inputs/pr5270_p19_word.py
@@ -0,0 +1,242 @@
+#!/usr/bin/env python3
+"""The materialized p=19 coded-reverse word: listing, replay and census.
+
+The word is emitted as an explicit gate listing, not composed in code: a gauge
+load on each odd role, a forward stage, then per pair a reverse add, the stage
+letter, the two bridges, the forward stage and the two bridges again, the
+reversed bridge sweep, and the gauge unload. The replay applies the listing to a
+state and compares it with the standard word, so the emitted object is what is
+verified.
+
+Census: gate records by kind, recodings, monomial field maps, scalar adds,
+owned clears, Gaussian letters, denominators, the paid profile and the rank
+invoice value of the word.
+"""
+import importlib.util, json
+from collections import Counter
+from pathlib import Path
+
+HERE = Path(__file__).resolve().parent
+ROOT = HERE.parents[1]
+P, OWNERS, SIZE = 65537, 112, 512
+H = {4: 28, 7: 7, 8: 47, 9: 326}
+P_NEW = {1: 2201, 2: 412, 3: 510, 4: 127, 5: 40}
+P_OLD = {1: 2237, 2: 388, 3: 494, 4: 147, 5: 36, 8: 8}
+MAPS, ADDS, CLEARS = 224, 896, 16 # per recoding: 112 K + 112 K^-1, 8 x (56 + 56) adds, 16 clears
+
+def need(ok, why):
+ if not ok: raise ValueError(why)
+
+def engine():
+ spec = importlib.util.spec_from_file_location('lift', HERE/'physical_gauge_lift.py')
+ mod = importlib.util.module_from_spec(spec); spec.loader.exec_module(mod)
+ return mod
+
+PATTERN = 'I'*9 + 'T'*9
+
+def gaussian_power(bank, axes, power=1):
+ """R**power in one butterfly pass: the gate matrix has eigenvalues 1 and i, so its
+ power has a=(1+i^power)/2, b=(1-i^power)/2."""
+ ik = pow(256, power, P)
+ a = (1+ik)*pow(2, -1, P) % P
+ b = (1-ik)*pow(2, -1, P) % P
+ out = [r[:] for r in bank]
+ for bit in axes:
+ step = 1 << bit
+ for row in out:
+ for st in range(0, SIZE, 2*step):
+ for x in range(st, st+step):
+ u, v = row[x], row[x+step]
+ row[x] = (a*u+b*v) % P
+ row[x+step] = (b*u+a*v) % P
+ return out
+
+def idle_census(p, pat=PATTERN):
+ """The formal controller's idle calls: (kind, pair, rank, retained)."""
+ rows = []
+ for stage in range(1, 2*p):
+ if stage % 2 and stage <= 2*p-3:
+ pair = (stage+1)//2
+ rows.append(('initial', pair, stage+1, pat[pair-1] in 'IB'))
+ elif stage % 2 == 0 and 2 <= stage <= 2*p-2:
+ rows.append(('middle', stage//2, 1, True))
+ for j in range(p-1):
+ rows.append(('terminal', j, 2*p+1-(2*j+3), pat[j] in 'TB'))
+ return rows
+
+def pattern_of(p):
+ return 'I'*((p-1)//2) + 'T'*(p-1-(p-1)//2)
+
+def listing(p, letter='R'):
+ pat = pattern_of(p)
+ gates = []
+ for r in range(1, 2*p, 2): gates.append(('GAUGE_LOAD', r, 'C^-1'))
+ gates.append(('FORWARD', 0, 1, 'C^-1.Q^-1'))
+ for j in range(p):
+ gates.append(('REVERSE', 2*j, 2*j+1, 'Q.C'))
+ gates.append(('LETTER', 2*j, 2*j+1, letter))
+ if j < p-1 and pat[j] in 'IB':
+ gates.append(('IDLE', 2*(j+1), 2*(j+1)+1, 2*j+2, 'initial'))
+ if j < p-1:
+ gates.append(('BRIDGE', 2*j, 2*j+2, 1)); gates.append(('BRIDGE', 2*j+1, 2*j+3, -1))
+ gates.append(('FORWARD', 2*j, 2*j+1, 'C^-1.Q^-1'))
+ if j < p-1:
+ gates.append(('IDLE', 2*(j+1), 2*(j+1)+1, 1, 'middle'))
+ gates.append(('BRIDGE', 2*j, 2*j+2, -1)); gates.append(('BRIDGE', 2*j+1, 2*j+3, 1))
+ for j in range(p-1):
+ if pat[j] in 'TB':
+ gates.append(('IDLE', 2*j, 2*j+1, 2*p+1-(2*j+3), 'terminal'))
+ for j in reversed(range(p-1)):
+ gates.append(('BRIDGE', 2*j+2, 2*j, 1)); gates.append(('BRIDGE', 2*j+1, 2*j+3, -1))
+ for r in range(1, 2*p, 2): gates.append(('GAUGE_UNLOAD', r, 'C'))
+ for j in range(p): gates.append(('SWAP', 2*j, 2*j+1, -1))
+ return gates
+
+def standard(p, v0, letter, L):
+ st = [r[:] for r in v0]
+ Q, Dg, R = (lambda x, inv=False: L.gaussian(x, [0], inv)), \
+ (lambda x, inv=False: L.gaussian(x, range(1, 9), inv)), \
+ (lambda x, inv=False: L.gaussian(x, range(9), inv))
+ let = {'R': R, 'D': Dg}[letter]
+ st[1] = L.add(st[1], Q(st[0], True))
+ for j in range(p):
+ a, b = 2*j, 2*j+1
+ st[a] = L.add(st[a], Q(st[b]), -1)
+ st[a] = let(st[a]); st[b] = let(st[b])
+ if j < p-1 and pattern_of(p)[j] in 'IB':
+ for r in (2*(j+1), 2*(j+1)+1): st[r] = gaussian_power(st[r], range(9), 2*j+2)
+ if j < p-1:
+ st[2*j] = L.add(st[2*j], st[2*j+2], 1); st[2*j+1] = L.add(st[2*j+1], st[2*j+3], -1)
+ st[b] = L.add(st[b], Q(st[a], True))
+ if j < p-1:
+ for r in (2*(j+1), 2*(j+1)+1): st[r] = gaussian_power(st[r], range(9), 1)
+ st[2*j] = L.add(st[2*j], st[2*j+2], -1); st[2*j+1] = L.add(st[2*j+1], st[2*j+3], 1)
+ for j in range(p-1):
+ if pattern_of(p)[j] in 'TB':
+ for r in (2*j, 2*j+1): st[r] = gaussian_power(st[r], range(9), 2*p+1-(2*j+3))
+ for j in reversed(range(p-1)):
+ st[2*j+2] = L.add(st[2*j+2], st[2*j], 1); st[2*j+1] = L.add(st[2*j+1], st[2*j+3], -1)
+ for j in range(p):
+ hold = st[2*j]
+ st[2*j] = st[2*j+1]
+ st[2*j+1] = [[(-v) % P for v in row] for row in hold]
+ return st
+
+def replay(p, gates, v0, L, C, Ci):
+ Q = lambda x, inv=False: L.gaussian(x, [0], inv)
+ let = {'R': (lambda x, inv=False: L.gaussian(x, range(9), inv)),
+ 'D': (lambda x, inv=False: L.gaussian(x, range(1, 9), inv))}
+ st = [r[:] for r in v0]
+ recodings = 0
+ for g in gates:
+ kind = g[0]
+ if kind == 'GAUGE_LOAD':
+ st[g[1]] = Ci(st[g[1]]); recodings += 1
+ elif kind == 'GAUGE_UNLOAD':
+ st[g[1]] = C(st[g[1]]); recodings += 1
+ elif kind == 'FORWARD':
+ st[g[2]] = L.add(st[g[2]], Ci(Q(st[g[1]], True))); recodings += 1
+ elif kind == 'REVERSE':
+ st[g[1]] = L.add(st[g[1]], Q(C(st[g[2]])), -1); recodings += 1
+ elif kind == 'LETTER':
+ f = let[g[3]]
+ for r in g[1:3]: st[r] = f(st[r])
+ elif kind == 'IDLE':
+ for r in (g[1], g[2]): st[r] = gaussian_power(st[r], range(9), g[3])
+ elif kind == 'BRIDGE':
+ st[g[1]] = L.add(st[g[1]], st[g[2]], g[3])
+ elif kind == 'SWAP':
+ hold = st[g[1]]
+ st[g[1]] = st[g[2]]
+ st[g[2]] = [[(-v) % P for v in row] for row in hold]
+ else:
+ raise ValueError('unknown gate ' + kind)
+ return st, recodings
+
+def invoice(p, pat, thick, prof):
+ full = frozenset(range(2*p+1)); T, D = Counter(), Counter()
+ outs = [full, full]
+ for i, ch in enumerate(pat, 1):
+ outs += [frozenset(range(0, 2*i+1)) if ch == 'I' else frozenset(range(2*i, 2*p+1))]*2
+ for s in outs: T[1+8*len(s & thick)] += 112
+ for i, ch in enumerate(pat, 1):
+ if ch == 'I': D[8*len(frozenset(range(0, 2*i)) & thick)] += 224
+ else: D[8*len(frozenset(range(2*i+1, 2*p+1)) & thick)] += 224
+ for j in range(1, p): D[8*len(frozenset([2*j]) & thick)] += 224
+ for r, n in H.items(): T[r] += len(thick)*n
+ for r, n in prof.items(): D[r] += len(thick)*n
+ D[1] += 112*(2*p+1-len(thick))
+ T.pop(0, None); D.pop(0, None)
+ return T, D
+
+def root(T, D):
+ f = lambda c: sum(n*r**(1-c) for r, n in T.items())-sum(n*r**(1-c) for r, n in D.items())
+ lo, hi = 0.0, 0.05
+ for _ in range(200):
+ mid = (lo+hi)/2
+ if f(mid) > 0: lo = mid
+ else: hi = mid
+ return lo
+
+def main():
+ L = engine()
+ receipt = json.loads((ROOT/'research/coded-native-caller/NORMALIZERS.json').read_text())
+ modes = [[(i, s) for i, s in enumerate(c) if s] for c in receipt['mode_columns']]
+ C = lambda x: L.physical_code(x, receipt['ports'], modes, False)
+ Ci = lambda x: L.physical_code(x, receipt['ports'], modes, True)
+
+ import random
+ rng = random.Random(5)
+ p = 2
+ gates = listing(p)
+ kinds = Counter(g[0] for g in gates)
+ v0 = [[[rng.randrange(P) for _ in range(SIZE)] for _ in range(OWNERS)] for _ in range(2*p)]
+ out, rec = replay(p, gates, v0, L, C, Ci)
+ ref = standard(p, v0, 'R', L)
+ res = sum(L.diff(out[r], ref[r]) for r in range(2*p))
+ need(res == 0, 'p=2 replay')
+ need(rec == 4*p+1, 'p=2 recodings')
+ print('PASS p=2 listing replay: %d gate records %s, %d recodings, residual 0 of %d entries'
+ % (len(gates), dict(kinds), rec, 2*p*OWNERS*SIZE))
+
+ p = 19
+ gates = listing(p)
+ kinds = Counter(g[0] for g in gates)
+ v0 = [[[rng.randrange(P) for _ in range(SIZE)] for _ in range(OWNERS)] for _ in range(2*p)]
+ out, rec = replay(p, gates, v0, L, C, Ci)
+ ref = standard(p, v0, 'R', L)
+ res = sum(L.diff(out[r], ref[r]) for r in range(2*p))
+ need(res == 0, 'p=19 replay')
+ need(rec == 4*p+1, 'p=19 recodings')
+ print('PASS p=19 listing replay: %d gate records %s, %d recodings, residual 0 of %d entries'
+ % (len(gates), dict(kinds), rec, 2*p*OWNERS*SIZE))
+
+ thick = frozenset(range(1, 2*p, 2))
+ pat = 'I'*9+'T'*9
+ r_new = root(*invoice(p, pat, thick, P_NEW))
+ r_old = root(*invoice(p, pat, thick, P_OLD))
+ need(abs(r_new-0.007578535189897761) < 1e-9, 'p19 coded root')
+ letters = kinds['LETTER']
+ census = {
+ 'p': p, 'pattern': pat, 'stages': 2*p+1,
+ 'gate_records': len(gates), 'gate_kinds': dict(kinds),
+ 'gaussian_letters': letters, 'letter_map': 'R, the full nine-gate Gaussian',
+ 'recodings': rec, 'recoding_breakdown': {'gauge loads': p, 'gauge unloads': p,
+ 'forward stage reads': p+1, 'reverse stage reads': p},
+ 'monomial_field_maps': rec*MAPS, 'scalar_adds': rec*ADDS, 'owned_clears': rec*CLEARS,
+ 'recursive_gaussian_children': 0,
+ 'denominators': {'forward': '1/4', 'inverse': '1/52', 'controller': [1, 13]},
+ 'paid_profile': dict(sorted(P_NEW.items())), 'helper_profile': dict(sorted(H.items())),
+ 'productive_total': sum(invoice(p, pat, thick, P_NEW)[0].values()),
+ 'complex_with_PR4929_profile': round(r_new, 12),
+ 'complex_with_prior_profile': round(r_old, 12),
+ 'helper_units': len(thick)*sum(H.values()), 'helper_profile_inherited': dict(sorted(H.items())),
+ 'helper_note': 'the independent helper block is inherited unchanged from the source profile and priced by '
+ 'the invoice T side; only the main data path is materialized and replayed here',
+ 'entries_checked': 2*p*OWNERS*SIZE,
+ 'scope': 'materialized listing, exact replay at p=2 and p=19, exact field-level census'}
+ (HERE/'P19_WORD.json').write_text(json.dumps(census, indent=2, sort_keys=True)+'\n')
+ print(json.dumps(census, sort_keys=True))
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/inputs/pr5270_physical_gauge_lift.py b/research/filtered-native-kappa004/inputs/pr5270_physical_gauge_lift.py
new file mode 100644
index 0000000000..c68b7ca2cd
--- /dev/null
+++ b/research/filtered-native-kappa004/inputs/pr5270_physical_gauge_lift.py
@@ -0,0 +1,310 @@
+#!/usr/bin/env python3
+"""Global gauge lift for the coded reverse controller, p=2 and p=19 exact.
+
+The recovered full_build.py compares two builds that draw independent random
+initial roles, so its residuals measure state mismatch, not the construction.
+With a shared initial state no boundary orientation repairs the rank-8 letter:
+on a role that carries the code, a stage letter L acts as lambda L lambda^-1,
+so L must commute with the code. A is connected (104 neighbours per port), so
+an admissible letter also needs K_i L K_i^-1 port independent, and the census
+finds one class for the full Gaussian R and many for every proper subproduct
+tested (112 for D, 112 for Q, 60 for rank 4, 45 for rank 7). Alternatively the
+code can be unloaded before the letter, which costs one extra recoding per
+reverse stage and admits rank-8 letters.
+
+The lift is a gauge statement, checked gate by gate:
+
+ every coded gate is the standard gate conjugated per role by the gauge lam,
+ v = lam_r phi_r, the gauge is constant on each bridge parity class, and the
+ invariant v = lam phi holds after every gate that writes a role.
+
+ S = Q D C^-1 Q^-1 D^-1 equals C^-1 exactly, so the thin source is the code
+ inverse and the thin read is C^-1 after Q^-1.
+
+Scope: exact operator identity for the p=2 and p=19 controller words, the
+forced-letter census and the recoding bill. Not a supplier or compiler claim;
+the field-map tariff on that bill is field_map_tariff.py.
+"""
+import json, random
+from pathlib import Path
+
+HERE = Path(__file__).resolve().parent
+ROOT = HERE.parents[1]
+P, IMAG, OWNERS, SIZE = 65537, 256, 112, 512
+MONOMIAL_MAPS, SCALAR_ADDS, OWNED_CLEARS = 224, 896, 16
+
+def need(ok, why):
+ if not ok: raise ValueError(why)
+
+def empty(): return [[0]*SIZE for _ in range(OWNERS)]
+def add(x, y, s=1): return [[(a+s*b) % P for a, b in zip(xi, yi)] for xi, yi in zip(x, y)]
+def gaussian(bank, axes, inverse=False):
+ a = (1+(-IMAG if inverse else IMAG))*pow(2, -1, P) % P
+ b = (1-(-IMAG if inverse else IMAG))*pow(2, -1, P) % P
+ out = [r[:] for r in bank]
+ for bit in axes:
+ step = 1 << bit
+ for row in out:
+ for st in range(0, SIZE, 2*step):
+ for x in range(st, st+step):
+ u, v = row[x], row[x+step]
+ row[x] = (a*u+b*v) % P
+ row[x+step] = (b*u+a*v) % P
+ return out
+def signed_map(rec, x, inverse=False):
+ rows, mask = rec['G_rows'], rec['Z_mask']
+ if inverse:
+ y = sum((((sum(((r >> bit) & 1) << j for j, r in enumerate(rows)) & x).bit_count() & 1) << bit) for bit in range(9))
+ sign = 1-2*((mask & x).bit_count() & 1)
+ else:
+ y = sum((((r & x).bit_count() & 1) << bit) for bit, r in enumerate(rows))
+ sign = 1-2*((mask & y).bit_count() & 1)
+ return y, sign
+def signed_row(rec, row, inverse=False):
+ out = [0]*SIZE
+ for x, v in enumerate(row):
+ if v:
+ y, s = signed_map(rec, x, inverse)
+ out[y] = s*v % P
+ return out
+def scalar_code(bank, modes, inverse=False):
+ temp = [[sum(sg*bank[i][x] for i, sg in c) % P for x in range(SIZE)] for c in modes]
+ den = pow(52 if inverse else 4, -1, P)
+ out = [r[:] for r in bank]
+ for m, c in enumerate(modes):
+ for i, sg in c:
+ out[i] = [(a-sg*den*b) % P for a, b in zip(out[i], temp[m])]
+ return out
+def physical_code(bank, records, modes, inverse=False):
+ mixed = empty()
+ for i, row in enumerate(bank):
+ for x, v in enumerate(row):
+ if v:
+ y, s = signed_map(records[i], x); mixed[i][y] = s*v % P
+ mixed = scalar_code(mixed, modes, inverse)
+ out = empty()
+ for i, row in enumerate(mixed):
+ for x, v in enumerate(row):
+ if v:
+ y, s = signed_map(records[i], x, True); out[i][y] = s*v % P
+ return out
+def diff(a, b): return sum(1 for i in range(OWNERS) for j in range(SIZE) if a[i][j] != b[i][j])
+IDENT = lambda x: x
+
+class GaugeWord:
+ """Logical roles v, physical roles phi, per-role gauge lam with v = lam phi."""
+
+ def __init__(self, p, v0, C, Ci, Q):
+ self.p, self.C, self.Ci, self.Q = p, C, Ci, Q
+ self.v = [r[:] for r in v0]
+ self.f = [r[:] for r in v0]
+ self.lam = [IDENT]*2*p
+ self.linv = [IDENT]*2*p
+ self.fails = []
+ self.recodings = 0
+
+ def check(self, roles, tag):
+ for r in roles:
+ d = diff(self.lam[r](self.f[r]), self.v[r])
+ if d: self.fails.append((tag, r, d))
+
+ def set_gauge(self, r, lam, linv, change):
+ self.f[r] = change(self.f[r]); self.lam[r] = lam; self.linv[r] = linv
+ self.recodings += 1
+ self.check([r], 'gauge%d' % r)
+
+ def fwd(self, j, order):
+ x, y = 2*j, 2*j+1
+ self.v[y] = add(self.v[y], self.Q(self.v[x], True))
+ src = self.f[x]
+ if self.lam[x] is not IDENT: src = self.lam[x](src); self.recodings += 1
+ if order == 'inv-first':
+ src = self.Q(src, True)
+ if self.linv[y] is not IDENT: src = self.linv[y](src); self.recodings += 1
+ else:
+ if self.linv[y] is not IDENT: src = self.linv[y](src); self.recodings += 1
+ src = self.Q(src, True)
+ self.f[y] = add(self.f[y], src)
+ self.check([y], 'fwd%d' % j)
+
+ def rev_add(self, j):
+ a, b = 2*j, 2*j+1
+ self.v[a] = add(self.v[a], self.Q(self.v[b]), -1)
+ src = self.f[b]
+ if self.lam[b] is not IDENT: src = self.lam[b](src); self.recodings += 1
+ src = self.Q(src)
+ if self.linv[a] is not IDENT: src = self.linv[a](src); self.recodings += 1
+ self.f[a] = add(self.f[a], src, -1)
+ self.check([a], 'rev%d-add' % j)
+
+ def rev_letter(self, j, letter):
+ for r in (2*j, 2*j+1):
+ self.v[r] = letter(self.v[r])
+ self.f[r] = letter(self.f[r])
+ self.check([2*j, 2*j+1], 'rev%d-letter' % j)
+
+ def bridge(self, dst, src, cf):
+ for d, s, cc in ((2*dst, 2*src, cf), (2*src+1, 2*dst+1, -cf)):
+ need(self.lam[d] is self.lam[s] and self.linv[d] is self.linv[s],
+ 'gauge mismatch across bridge %d-%d' % (dst, src))
+ self.v[d] = add(self.v[d], self.v[s], cc)
+ self.f[d] = add(self.f[d], self.f[s], cc)
+ self.check([2*dst, 2*src+1], 'bridge%d-%d' % (dst, src))
+
+def reference(p, v0, letter, Qc):
+ """The recovered full_build word: no code, given letter, same gate sequence."""
+ st = [r[:] for r in v0]
+ def fwd(j):
+ x, y = 2*j, 2*j+1
+ st[y] = add(st[y], Qc(st[x], True))
+ def rev(j):
+ a, b = 2*j, 2*j+1
+ st[a] = add(st[a], Qc(st[b]), -1)
+ st[a] = letter(st[a]); st[b] = letter(st[b])
+ def bridge(dst, src, cf):
+ for d, s, cc in ((2*dst, 2*src, cf), (2*src+1, 2*dst+1, -cf)):
+ st[d] = add(st[d], st[s], cc)
+ fwd(0)
+ for j in range(p):
+ rev(j)
+ if j < p-1: bridge(j, j+1, 1)
+ fwd(j)
+ if j < p-1: bridge(j, j+1, -1)
+ for j in reversed(range(p-1)): bridge(j+1, j, 1)
+ return st
+
+def word(p, v0, C, Ci, Q, letter, mode, order='inv-first'):
+ w = GaugeWord(p, v0, C, Ci, Q)
+ if mode == 'odd-gauge':
+ for r in range(1, 2*p, 2): w.set_gauge(r, C, Ci, Ci)
+ elif mode == 'even-gauge':
+ for r in range(0, 2*p, 2): w.set_gauge(r, C, Ci, Ci)
+ elif mode == 'coded-all':
+ for r in range(2*p): w.set_gauge(r, C, Ci, Ci)
+ coded = mode in ('odd-gauge', 'even-gauge', 'coded-all')
+ w.fwd(0, order if coded else 'inv-last')
+ for j in range(p):
+ if mode == 'transient':
+ w.set_gauge(2*j+1, C, Ci, Ci)
+ w.rev_add(j)
+ w.set_gauge(2*j+1, IDENT, IDENT, C)
+ w.rev_letter(j, letter)
+ else:
+ w.rev_add(j)
+ w.rev_letter(j, letter)
+ if j < p-1: w.bridge(j, j+1, 1)
+ w.fwd(j, order if coded else 'inv-last')
+ if j < p-1: w.bridge(j, j+1, -1)
+ for j in reversed(range(p-1)): w.bridge(j+1, j, 1)
+ if mode in ('odd-gauge', 'even-gauge'):
+ for r in (range(1, 2*p, 2) if mode == 'odd-gauge' else range(0, 2*p, 2)):
+ w.set_gauge(r, IDENT, IDENT, C)
+ return w
+
+def bill(w):
+ return {'recodings': w.recodings, 'monomial_field_maps': w.recodings*MONOMIAL_MAPS,
+ 'scalar_adds': w.recodings*SCALAR_ADDS, 'owned_clears': w.recodings*OWNED_CLEARS}
+
+def main():
+ receipt = json.loads((ROOT/'research/coded-native-caller/NORMALIZERS.json').read_text())
+ records, cols = receipt['ports'], receipt['mode_columns']
+ modes = [[(i, s) for i, s in enumerate(c) if s] for c in cols]
+ C = lambda x: physical_code(x, records, modes, False)
+ Ci = lambda x: physical_code(x, records, modes, True)
+ Q = lambda x, inv=False: gaussian(x, [0], inv)
+ Dg = lambda x, inv=False: gaussian(x, range(1, 9), inv)
+ R = lambda x, inv=False: gaussian(x, range(9), inv)
+
+ rng = random.Random(5)
+ def dense(): return [[rng.randrange(P) for _ in range(SIZE)] for _ in range(OWNERS)]
+ def sparse(n=120):
+ b = empty()
+ for _ in range(n): b[rng.randrange(OWNERS)][rng.randrange(SIZE)] = rng.randrange(1, P)
+ return b
+
+ probe = dense()
+ need(diff(Ci(C(probe)), probe) == 0 and diff(C(Ci(probe)), probe) == 0, 'C inverse on a dense bank')
+ print('PASS code inverse: C C^-1 = C^-1 C = I on a dense bank')
+ need(diff(Q(Dg(Ci(Q(Dg(probe, True), True)))), Ci(probe)) == 0, 'S = C^-1')
+ print('PASS thin source S = Q D C^-1 Q^-1 D^-1 equals the code inverse C^-1 exactly')
+ cd, cq, cr = diff(Dg(C(probe)), C(Dg(probe))), diff(Q(C(probe)), C(Q(probe))), diff(R(C(probe)), C(R(probe)))
+ need(cd and cq and cr == 0, 'letter commutation')
+ print('PASS letters: [C,D] differs on %d entries, [C,Q] on %d, [C,R] on 0' % (cd, cq))
+
+ nb = [set() for _ in range(OWNERS)]
+ for c in cols:
+ idx = [i for i, s in enumerate(c) if s]
+ for i in idx: nb[i] |= set(idx)
+ seen, stack = {0}, [0]
+ while stack:
+ i = stack.pop()
+ for j in nb[i]:
+ if j not in seen: seen.add(j); stack.append(j)
+ need(len(seen) == OWNERS and min(len(x) for x in nb) > 0, 'A is connected')
+ probe_row = [(i*37+11) % P or 1 for i in range(SIZE)]
+ def conj_classes(axes):
+ sigs = {}
+ for i, rec in enumerate(records):
+ row = signed_row(rec, gaussian([signed_row(rec, probe_row, True)], axes)[0])
+ sigs.setdefault(tuple(row), []).append(i)
+ return len(sigs)
+ ranks = {'R(9)': range(9), 'D(8)': range(1, 9), 'Q(1)': (0,), 'rank4': range(4), 'rank7': range(7)}
+ classes = {k: conj_classes(a) for k, a in ranks.items()}
+ need(classes['R(9)'] == 1 and all(v > 1 for k, v in classes.items() if k != 'R(9)'), 'forced letter')
+ print('PASS forced letter: A connected (112 nodes, %d neighbours each); distinct K-conjugates %s'
+ % (len(nb[0]), classes))
+
+ p = 2
+ v0 = [dense() for _ in range(2*p)]
+ total = 2*p*OWNERS*SIZE
+ ref = reference(p, v0, Dg, Q)
+ w = word(p, v0, C, Ci, Q, Dg, 'std', 'inv-last')
+ need(all(diff(w.f[r], ref[r]) == 0 for r in range(2*p)), 'engine reproduces the recovered reference word')
+ print('PASS engine reproduces the recovered full_build word gate for gate (rank-8 letter, no code)')
+ p2_bills = {}
+ for label, letter, mode, order in (
+ ('letter R, odd-role gauge', R, 'odd-gauge', 'inv-first'),
+ ('letter R, even-role gauge', R, 'even-gauge', 'inv-first'),
+ ('letter R, all roles coded', R, 'coded-all', 'inv-first'),
+ ('letter I, odd-role gauge', IDENT, 'odd-gauge', 'inv-first'),
+ ('letter D, odd-role gauge + unload', Dg, 'transient', 'inv-first'),
+ ):
+ w = word(p, v0, C, Ci, Q, letter, mode, order)
+ need(not w.fails, 'p=2 gate invariant: ' + label + ' ' + mode)
+ decoded = sum(diff(w.lam[r](w.f[r]), w.v[r]) for r in range(2*p))
+ p2_bills[mode + '/' + ('R' if letter is R else 'I' if letter is IDENT else 'D')] = w.recodings
+ print('PASS p=2 %-34s decoded residual %d of %d entries, 0 gate failures, bill %s'
+ % (label + ' ' + mode, decoded, total, bill(w)))
+ for label, letter, mode, order in (
+ ('letter D, odd-role gauge', Dg, 'odd-gauge', 'inv-first'),
+ ('letter Q, odd-role gauge', Q, 'odd-gauge', 'inv-first'),
+ ('letter R, thin read in baseline order Q^-1 C^-1', R, 'odd-gauge', 'inv-last'),
+ ('recovered baseline: letter D and thin order', Dg, 'odd-gauge', 'inv-last'),
+ ):
+ w = word(p, v0, C, Ci, Q, letter, mode, order)
+ need(w.fails, 'control must fail: ' + label)
+ print('PASS p=2 control rejected: %-44s %d gate failures, first %s'
+ % (label, len(w.fails), w.fails[0]))
+
+ p = 19
+ v0 = [sparse() for _ in range(2*p)]
+ total = 2*p*OWNERS*SIZE
+ bills = {}
+ for label, mode in (('odd-role gauge', 'odd-gauge'), ('even-role gauge', 'even-gauge')):
+ w = word(p, v0, C, Ci, Q, R, mode)
+ need(not w.fails, 'p=19 gate invariant: ' + label)
+ decoded = sum(diff(w.lam[r](w.f[r]), w.v[r]) for r in range(2*p))
+ bills[mode] = w.recodings
+ print('PASS p=19 %-16s decoded residual %d of %d entries, 0 gate failures, bill %s'
+ % (label, decoded, total, bill(w)))
+ receipt = {'status': 'PASS_CODED_REVERSE_GLOBAL_GAUGE_LIFT',
+ 'p2_entries': 4*OWNERS*SIZE, 'p19_entries': 38*OWNERS*SIZE,
+ 'p19_recodings': bills, 'p2_recodings': p2_bills,
+ 'commuting_letters': ['I', 'R'], 'rejected_letters': ['D', 'Q'],
+ 'thin_source': 'S = Q D C^-1 Q^-1 D^-1 = C^-1',
+ 'scope': 'exact operator identity and local gauge bill; no tariff, compiler or kappa claim'}
+ (HERE/'LIFT.json').write_text(json.dumps(receipt, indent=2, sort_keys=True) + '\n')
+ print(json.dumps(receipt, sort_keys=True))
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/observer_milp.py b/research/filtered-native-kappa004/observer_milp.py
new file mode 100644
index 0000000000..8c3e2c0c8b
--- /dev/null
+++ b/research/filtered-native-kappa004/observer_milp.py
@@ -0,0 +1,109 @@
+#!/usr/bin/env python3
+"""Discovery MILP for joint decoding of noisy lower-frame observations.
+
+Coefficients are bounded only for this search. A positive selected set is
+rechecked over Q; neither a solver failure nor its bound is a theorem here.
+Apache-2.0; OpenAI Codex assistance.
+"""
+from fractions import Fraction as Q
+from hashlib import sha256
+from pathlib import Path
+import argparse
+import gzip
+import json
+import time
+import numpy as np
+from scipy.optimize import Bounds, LinearConstraint, milp
+from scipy.sparse import coo_matrix
+
+from snapshot_probe import Span
+
+HERE = Path(__file__).resolve().parent
+
+
+def main():
+ ap = argparse.ArgumentParser()
+ ap.add_argument('--mode', type=int, default=0)
+ ap.add_argument('--seconds', type=int, default=90)
+ ap.add_argument('--maximum-cost', type=int, default=8)
+ args = ap.parse_args()
+ begin = time.monotonic()
+ path = HERE/'evidence/observer-subspaces.json.gz'
+ data = json.loads(gzip.decompress(path.read_bytes()))
+ target = {int(i): Q(a) for i, a in data['targets'][args.mode]}
+ frames, columns = [], []
+ # Explicit positive control: a ground RY gather followed by one H9.
+ # It is excluded by an eight-rank budget and admitted at nine.
+ if args.maximum_cost >= 9:
+ frames.append({'frame': 0, 'rank': 0, 'cost': 9})
+ columns.append((0, target, {'frame': 0, 'owner': 'ground_RY_mode',
+ 'mode': args.mode, 'after_event': -1}))
+ for item in data['frames']:
+ price = 9-item['rank']
+ if price > args.maximum_cost:
+ continue
+ basis = Span()
+ for record in item['rows']:
+ basis.insert({int(i): Q(a) for i, a in record['row']}, record['description'])
+ if not basis.columns:
+ continue
+ f = len(frames)
+ frames.append({'frame': item['frame'], 'rank': item['rank'], 'cost': price})
+ for row, desc in basis.columns:
+ columns.append((f, row, desc))
+ coords = sorted(set(target) | {i for _, row, _ in columns for i in row})
+ ci = {i: k for k, i in enumerate(coords)}
+ n, nf, nc = len(columns), len(frames), len(coords)
+ rr, cc, vv = [], [], []
+ limit = 32.
+ lower, upper = [float(target.get(i, 0)) for i in coords], [float(target.get(i, 0)) for i in coords]
+ for j, (f, row, _) in enumerate(columns):
+ for i, a in row.items():
+ rr.append(ci[i]); cc.append(j); vv.append(float(a))
+ for sign in (1, -1):
+ rownum = len(lower)
+ rr += [rownum, rownum]; cc += [j, n+f]; vv += [sign, -limit]
+ lower.append(-np.inf); upper.append(0.)
+ rownum = len(lower)
+ for f, item in enumerate(frames):
+ rr.append(rownum); cc.append(n+f); vv.append(item['cost'])
+ lower.append(-np.inf); upper.append(args.maximum_cost)
+ matrix = coo_matrix((vv, (rr, cc)), shape=(len(lower), n+nf)).tocsc()
+ objective = np.array([0.]*n+[float(f['cost']) for f in frames])
+ integrality = np.array([0]*n+[1]*nf)
+ print('MILP', args.mode, n, nf, nc, 'budget',args.maximum_cost,flush=True)
+ result = milp(objective, integrality=integrality,
+ bounds=Bounds([-limit]*n+[0.]*nf, [limit]*n+[1.]*nf),
+ constraints=LinearConstraint(matrix, lower, upper),
+ options={'time_limit': args.seconds, 'mip_rel_gap': .0001})
+ selected = []
+ residual = None
+ recipe = None
+ if result.x is not None:
+ active = {f for f in range(nf) if result.x[n+f] > .5}
+ selected = [frames[f] for f in sorted(active)]
+ basis = Span()
+ for f, row, desc in columns:
+ if f in active:
+ basis.insert(row, desc)
+ rem, rep = basis.solve(target)
+ residual = len(rem)
+ if not rem:
+ recipe = [{'coefficient': str(a), **basis.columns[j][1]} for j, a in rep.items()]
+ out = {'status': 'BOUNDED_COEFFICIENT_NOISY_OBSERVER_MILP', 'mode': args.mode,
+ 'input_sha256': sha256(path.read_bytes()).hexdigest(),
+ 'maximum_lift_rank_cost': args.maximum_cost, 'coefficient_bound': limit,
+ 'continuous_columns': n, 'frame_variables': nf, 'coordinates': nc,
+ 'solver_status': int(result.status), 'solver_message': result.message,
+ 'solver_objective': None if result.fun is None else float(result.fun),
+ 'solver_lower_bound': None if getattr(result, 'mip_dual_bound', None) is None else float(result.mip_dual_bound),
+ 'selected_frames': selected, 'rational_residual_terms': residual,
+ 'rational_recipe': recipe,
+ 'scope': 'Necessary fixed-vector quotient; bounded numerical coefficient search. Rational reconstruction verifies only a selected set in that quotient. A full phase-aware physical repair and every cost remain required.',
+ 'new_kappa_claimed': False, 'elapsed_seconds': time.monotonic()-begin}
+ (HERE/f'evidence/observer-milp-mode{args.mode}-budget{args.maximum_cost}.json').write_text(json.dumps(out, indent=2)+'\n')
+ print(json.dumps({k: v for k, v in out.items() if k != 'rational_recipe'}), flush=True)
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/observer_probe.py b/research/filtered-native-kappa004/observer_probe.py
new file mode 100644
index 0000000000..8ea9811373
--- /dev/null
+++ b/research/filtered-native-kappa004/observer_probe.py
@@ -0,0 +1,172 @@
+#!/usr/bin/env python3
+"""Costed lower-frame observations in the changed, center-free word.
+
+Extends the packet's rank-eight/rank-one observer screen to every rank.
+Uses the necessary K_G |0>=|0> specialization. Any positive is a candidate,
+not a physical recovery proof. Apache-2.0; OpenAI Codex assistance.
+"""
+from collections import Counter, defaultdict
+from fractions import Fraction as Q
+from pathlib import Path
+from hashlib import sha256
+import argparse
+import gzip
+import json
+import sys
+import time
+
+HERE = Path(__file__).resolve().parent
+
+
+def main():
+ ap = argparse.ArgumentParser()
+ ap.add_argument('--packet', type=Path, required=True)
+ args = ap.parse_args()
+ root, start = args.packet, time.monotonic()
+ sys.path[:0] = [str(root/'research/operator_alignment_next'),
+ str(root/'research/retained_state_next')]
+ import augmented_rank1_observers as obs
+ fc = obs.fc
+ path = root/'research/retained_state_next/F9-SOURCE-DAG-ALL8-WORD.json.gz'
+ raw = path.read_bytes()
+ w = json.loads(gzip.decompress(raw))
+ c = w['canonical']
+ rpath = root/'upstream/research/involutory-producer-raw-dual/inputs/R/R.json'
+ R = [[Q(v) for v in row] for row in json.loads(rpath.read_text())]
+ events = [e for e in w['programs']['backward'] if e[0] != 'physical_add']
+ owned = 1+w['owned_extra_slots_by_direction']['backward']
+ rows = [{i: Q(1)} for i in range(632)]+[{} for _ in range(owned)]
+ cur = c['start'][:]+[None]*owned
+ full, seen, contacts = [], defaultdict(set), defaultdict(list)
+ counts = Counter()
+
+ def save(d, pos):
+ f = cur[d]
+ if f is None or not rows[d]:
+ return
+ counts[len(c['frames'][f])] += 1
+ key = tuple(sorted(rows[d].items()))
+ if key in seen[f]:
+ return
+ seen[f].add(key)
+ item = {'owner': d, 'after_event': pos, 'frame': f}, dict(rows[d])
+ if f == 1:
+ full.append(item)
+ else:
+ contacts[f].append(item)
+
+ for d in range(632):
+ save(d, -1)
+ for pos, e in enumerate(events):
+ typ, d = e[0], None
+ if typ == 'scalar':
+ a, f = e[1:]
+ d = a[1][1]+632*(a[1][0] == 'C')
+ if a[0] == 'clear':
+ rows[d], cur[d] = {}, f
+ elif a[0] in ('add', 'copy'):
+ s = a[2][1]+632*(a[2][0] == 'C')
+ assert cur[s] == cur[d] == f
+ rows[d] = dict(rows[s]) if a[0] == 'copy' else fc.add(rows[d], fc.scale(rows[s], Q(a[3], a[4])))
+ else:
+ assert a[0] == 'scale'
+ rows[d] = fc.scale(rows[d], Q(a[2], a[3]))
+ elif typ == 'warp':
+ d = e[1][1]+632*(e[1][0] == 'C')
+ assert cur[d] == e[3]
+ cur[d] = e[4]
+ elif typ == 'climb':
+ d = e[2]
+ assert cur[d] == e[3]
+ cur[d] = e[4]
+ else:
+ assert typ in ('phase', 'adapter')
+ if d is not None:
+ save(d, pos)
+ assert cur[:632] == c['final'] and all(not row for row in rows[632:])
+ # Bind the changed endpoint in this necessary specialization.
+ for i in range(632):
+ expected = {i: Q(1)}
+ if i < 112:
+ expected[i+112] = Q(-1)
+ for r in R:
+ if r[i]:
+ for j, a in enumerate(r):
+ if a:
+ expected[j+112] = expected.get(j+112, Q(0))+r[i]*a/4
+ assert rows[i] == {k: a for k, a in expected.items() if a}
+ print('REPLAY',len(events),'full unique',len(full),'frames',len(contacts),flush=True)
+ sbasis = fc.sparse_basis(full)
+ pivots = [(i, b[0]) for i, b in sorted(sbasis.items())]
+ targets = [obs.reduce_with_pivots({112+i: a for i, a in enumerate(r) if a}, pivots) for r in R]
+ assert len(fc.sparse_basis(list(enumerate(targets)))) == 8
+ print('FULL_BASIS',len(sbasis),'seconds',time.monotonic()-start,flush=True)
+ candidates, per_rank, quotient_spaces = [], defaultdict(list), {}
+ # All original Y values are available at ground on entry. Their eight
+ # R combinations are an explicit basis at lift rank nine; rebuilding a
+ # large ground-frame elimination cannot improve that equal-cost basis.
+ for k, r in enumerate(R):
+ desc = {'frame': 0, 'frame_rank': 0, 'full_lift_rank': 9,
+ 'target_modes': {str(k): '1'},
+ 'gather': [{'owner': 112+i, 'after_event': -1, 'frame': 0,
+ 'coefficient': str(a)} for i, a in enumerate(r) if a]}
+ candidates.append((desc, {k: Q(1)}))
+ per_rank[0].append((desc, {k: Q(1)}))
+ for f, original in sorted(contacts.items()):
+ if f == 0:
+ continue
+ reduced = []
+ keys = set()
+ for desc, row in original:
+ row = obs.reduce_with_pivots(row, pivots)
+ key = tuple(sorted(row.items()))
+ if row and key not in keys:
+ keys.add(key)
+ reduced.append((desc, row))
+ quotient_spaces[f] = reduced
+ _, solutions = obs.intersection(reduced, targets)
+ rank = len(c['frames'][f])
+ for target, recipe in solutions:
+ desc = {'frame': f, 'frame_rank': rank, 'full_lift_rank': 9-rank,
+ 'target_modes': {str(k): str(a) for k, a in target.items()},
+ 'gather': [{**reduced[j][0], 'coefficient': str(a)} for j, a in recipe.items()]}
+ candidates.append((desc, target))
+ per_rank[rank].append((desc, target))
+ if f % 100 == 0:
+ print('FRAME',f,'candidates',len(candidates),'seconds',time.monotonic()-start,flush=True)
+ by_rank = {str(r): {'contact_frames': sum(len(c['frames'][f]) == r for f in contacts),
+ 'candidate_directions': len(data),
+ 'combined_R_mode_rank': len(fc.sparse_basis(data)),
+ 'one_lift_rank_per_direction': 9-r}
+ for r in range(9) for data in [per_rank[r]]}
+ # Equal-rank candidates have identical moment cost. Greedy basis selection
+ # is optimal for this vector-matroid relaxation, including all ranks.
+ chosen, basis = [], []
+ for desc, target in sorted(candidates, key=lambda x: x[0]['full_lift_rank']):
+ if len(fc.sparse_basis(basis+[(desc, target)])) > len(basis):
+ basis.append((desc, target))
+ chosen.append(desc)
+ out = {'status': 'NECESSARY_COSTED_LOWER_FRAME_OBSERVER_SCREEN',
+ 'source_sha256': sha256(raw).hexdigest(), 'R_sha256': sha256(rpath.read_bytes()).hexdigest(),
+ 'all_632_original_amplitudes': True, 'all_408_helpers_retained': True,
+ 'changed_center_free_endpoint_checked': True, 'full_snapshot_augmentation_rank': len(sbasis),
+ 'observed_snapshots_by_frame_rank': dict(sorted(counts.items())),
+ 'all_ranks': by_rank, 'candidate_count': len(candidates),
+ 'minimum_basis_in_individually_clean_lift_family': chosen,
+ 'minimum_individually_clean_lift_rank_mass': sum(x['full_lift_rank'] for x in chosen),
+ 'recovered_mode_dimension': len(chosen),
+ 'scope': 'Necessary fixed-vector quotient of the actual changed word; individually clean same-frame mode gathers at every rank and free full-frame side information. Full lifts are separately paid at rank 9-dim(frame). The 72 mass is optimal only when each new observation individually gives a pure R-mode combination modulo side information. Jointly decoding several noisy observations is outside that bound. A positive still needs exact operator cleanup, phase lowering, chronology and every helper; no kappa is claimed.',
+ 'new_kappa_claimed': False, 'elapsed_seconds': time.monotonic()-start}
+ (HERE/'evidence/observer-probe.json').write_text(json.dumps(out, indent=2)+'\n')
+ subspaces = {'targets': [[[i,str(a)] for i,a in sorted(row.items())] for row in targets],
+ 'frames': [{'frame': f, 'rank': len(c['frames'][f]),
+ 'rows': [{'description': desc, 'row': [[i,str(a)] for i,a in sorted(row.items())]}
+ for desc,row in data]}
+ for f,data in sorted(quotient_spaces.items()) if data]}
+ (HERE/'evidence/observer-subspaces.json.gz').write_bytes(gzip.compress(json.dumps(subspaces,separators=(',',':')).encode(),mtime=0))
+ print(json.dumps({k: out[k] for k in ('status', 'all_ranks', 'candidate_count',
+ 'minimum_individually_clean_lift_rank_mass', 'recovered_mode_dimension', 'elapsed_seconds')}), flush=True)
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/paired_observer_probe.py b/research/filtered-native-kappa004/paired_observer_probe.py
new file mode 100644
index 0000000000..be31d63cf8
--- /dev/null
+++ b/research/filtered-native-kappa004/paired_observer_probe.py
@@ -0,0 +1,125 @@
+#!/usr/bin/env python3
+"""Screen pairs of noisy observations, then recheck every hit rationally.
+
+Observations from different frames may cancel each other's nuisance. This
+is intentionally outside the individually-clean observer bound.
+Apache-2.0; substantial OpenAI Codex assistance.
+"""
+from collections import Counter
+from fractions import Fraction as Q
+from pathlib import Path
+from hashlib import sha256
+import argparse
+import gzip
+import itertools
+import json
+import sys
+import time
+
+HERE = Path(__file__).resolve().parent
+PRIME = 65537
+
+
+def mod(x):
+ x = Q(x)
+ return x.numerator*pow(x.denominator, -1, PRIME) % PRIME
+
+
+def add(a, b, c):
+ for k, x in b.items():
+ z = (a.get(k, 0)+c*x) % PRIME
+ if z:
+ a[k] = z
+ else:
+ a.pop(k, None)
+
+
+def insert(basis, row, tag):
+ row, tag = dict(row), dict(tag)
+ while row:
+ p = min(row)
+ if p not in basis:
+ a = pow(row[p], -1, PRIME)
+ basis[p] = ({k: x*a % PRIME for k, x in row.items()},
+ {k: x*a % PRIME for k, x in tag.items()})
+ return None
+ b, t = basis[p]
+ a = row[p]
+ add(row, b, -a)
+ add(tag, t, -a)
+ return tag
+
+
+def main():
+ ap = argparse.ArgumentParser()
+ ap.add_argument('--packet', type=Path, required=True)
+ ap.add_argument('--maximum-pair-lift-rank', type=int, default=4)
+ args = ap.parse_args()
+ begin = time.monotonic()
+ path = HERE/'evidence/observer-subspaces.json.gz'
+ data = json.loads(gzip.decompress(path.read_bytes()))
+ targets = [{int(i): Q(a) for i, a in row} for row in data['targets']]
+ tb = {}
+ for k, row in enumerate(targets):
+ z = insert(tb, {i: mod(a) for i, a in row.items()}, {k: 1})
+ assert z is None
+ frames = []
+ for item in data['frames']:
+ if 9-item['rank'] >= args.maximum_pair_lift_rank:
+ continue
+ basis = {}
+ original = []
+ for record in item['rows']:
+ original.append((record['description'], {int(i): Q(a) for i, a in record['row']}))
+ row = {int(i): mod(a) for i, a in record['row']}
+ tag = {}
+ for p, (b, t) in sorted(tb.items()):
+ a = row.get(p, 0)
+ if a:
+ add(row, b, -a)
+ add(tag, t, a)
+ relation = insert(basis, row, tag)
+ # A modular rank degeneration can create a spurious clean mode;
+ # record it as a pair hit for rational checking, never a proof.
+ assert not relation, 'Unexpected modular individual-mode direction'
+ if basis:
+ frames.append({**item, 'basis': basis, 'original': original})
+ sys.path[:0] = [str(args.packet/'research/operator_alignment_next'),
+ str(args.packet/'research/retained_state_next')]
+ import augmented_rank1_observers as obs
+ tested, hits, checked = Counter(), [], []
+ for a, b in itertools.combinations(frames, 2):
+ price = 18-a['rank']-b['rank']
+ if price > args.maximum_pair_lift_rank:
+ continue
+ tested[price] += 1
+ basis = dict(a['basis'])
+ found = []
+ for row, tag in b['basis'].values():
+ relation = insert(basis, row, tag)
+ if relation:
+ found.append(relation)
+ if not found:
+ continue
+ hits.append((a['frame'], b['frame']))
+ _, solutions = obs.intersection(a['original']+b['original'], targets)
+ records = []
+ joined = a['original']+b['original']
+ for target, recipe in solutions:
+ records.append({'target_modes': {str(k): str(x) for k, x in target.items()},
+ 'gather': [{**joined[j][0], 'coefficient': str(x)} for j, x in recipe.items()]})
+ checked.append({'frames': [a['frame'], b['frame']], 'pair_lift_rank': price,
+ 'rational_mode_dimension': len(solutions), 'solutions': records})
+ print('PAIR', a['frame'], b['frame'], price, len(solutions), flush=True)
+ out = {'status': 'PAIRED_NOISY_OBSERVATION_SCREEN', 'prime': PRIME,
+ 'input_sha256': sha256(path.read_bytes()).hexdigest(),
+ 'frames': len(frames), 'pairs_tested_by_total_lift_rank': dict(sorted(tested.items())),
+ 'modular_hits': len(hits), 'rational_rechecks': checked,
+ 'scope': 'Fixed-vector augmentation; two same-frame gathers lifted to full, with summed lift rank at most the stated budget. Positive modular hits are rechecked over Q. A negative modular screen is discovery evidence only, not rational infeasibility; a rational positive is still short of the physical operator identity.',
+ 'new_kappa_claimed': False, 'elapsed_seconds': time.monotonic()-begin}
+ (HERE/'evidence/paired-observer-probe.json').write_text(json.dumps(out, indent=2)+'\n')
+ print(json.dumps({k: v for k, v in out.items() if k != 'rational_rechecks'}), flush=True)
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/render_report.py b/research/filtered-native-kappa004/render_report.py
new file mode 100644
index 0000000000..ed44560945
--- /dev/null
+++ b/research/filtered-native-kappa004/render_report.py
@@ -0,0 +1,28 @@
+#!/usr/bin/env python3
+"""Render the research report from README.md and report.css.
+
+Document-only dependency: markdown-it-py. Apache-2.0; OpenAI Codex assistance.
+"""
+from html import escape
+from pathlib import Path
+
+from markdown_it import MarkdownIt
+
+HERE = Path(__file__).resolve().parent
+
+
+def main():
+ source = (HERE/'README.md').read_text()
+ title = source.splitlines()[0].removeprefix('# ')
+ style = (HERE/'report.css').read_text().strip()
+ body = MarkdownIt('default', {'html': False}).render(source)
+ document = (''
+ ''
+ ''+escape(title)+''
+ ''+body+'\n')
+ (HERE/'REPORT.html').write_text(document)
+ print('Rendered REPORT.html')
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/repeated_head_probe.py b/research/filtered-native-kappa004/repeated_head_probe.py
new file mode 100644
index 0000000000..90a9e1d74c
--- /dev/null
+++ b/research/filtered-native-kappa004/repeated_head_probe.py
@@ -0,0 +1,81 @@
+#!/usr/bin/env python3
+"""Bind PR5270's literal main-path operators to their actual axis usage.
+
+The emitted replay uses the same nine axes at every stage, whereas its invoice
+credits independent fresh eight-axis blocks. A gauge-equivalence replay does
+not certify that missing target binding. Apache-2.0; OpenAI Codex assistance.
+"""
+from collections import Counter
+from fractions import Fraction as Q
+from pathlib import Path
+from hashlib import sha256
+from types import SimpleNamespace
+import json
+
+from snapshot_probe import load, need
+
+HERE = Path(__file__).resolve().parent
+SOURCE_COMMIT = 'df9e5037587ce0cfbd23c2a944515526b301e820'
+
+
+def trace(module, p):
+ calls = []
+
+ def gaussian(bank, axes, inverse=False):
+ calls.append({'kind': 'gaussian', 'axes': list(axes), 'power': -1 if inverse else 1})
+ return bank
+
+ def gaussian_power(bank, axes, power=1):
+ calls.append({'kind': 'power', 'axes': list(axes), 'power': power})
+ return bank
+
+ # Empty payloads trace the actual replay's operator dispatch without
+ # replacing its listing, branches, IDLE powers, or stage chronology.
+ module.gaussian_power = gaussian_power
+ L = SimpleNamespace(gaussian=gaussian, add=lambda a, b, s=1: a)
+ gates = module.listing(p)
+ _, rec = module.replay(p, gates, [[] for _ in range(2*p)], L,
+ lambda x: x, lambda x: x)
+ active = sorted(set(x for c in calls for x in c['axes']))
+ need(active == list(range(9)), 'Every stage reuses the same nine coordinates')
+ middle = [g for g in gates if g[0] == 'IDLE' and g[-1] == 'middle']
+ need(len(middle) == p-1 and all(g[3] == 1 for g in middle), 'Literal middle R jobs')
+ T, P = module.invoice(p, module.pattern_of(p), frozenset(range(1, 2*p, 2)), module.P_NEW)
+ need(max(T) == 1+8*p, 'Advertised fresh-stage target')
+ # Even granting the unproved R upgrade, finite owner mixing cannot make
+ # a matrix block use more address bits than the whole literal alphabet.
+ # Price a direct R upgrade separately: D -> DQ on both banks per FULL.
+ target_upper = Counter({r: p*n for r, n in module.H.items()})
+ target_upper[9] += 2*p*112
+ paid_lower = Counter({r: p*n for r, n in module.P_NEW.items()})
+ paid_lower[1] += 112*(p+1)+224*p
+ surplus_upper = sum(r*n for r, n in target_upper.items())-sum(r*n for r, n in paid_lower.items())
+ need(surplus_upper < 0, 'Direct R-upgrade relaxation fails already at exponent zero')
+ return {'pairs': p, 'literal_gate_records': len(gates), 'recodings': rec,
+ 'gaussian_axis_support': active, 'maximum_literal_active_rank': 9,
+ 'advertised_maximum_target_rank': max(T),
+ 'literal_middle_idle_field_jobs': 224*len(middle), 'literal_middle_idle_rank': 9,
+ 'invoice_middle_idle_field_jobs': 0,
+ 'direct_D_to_R_upgrade_rank_one_jobs': 224*p,
+ 'optimistic_surplus_after_direct_upgrade_ignoring_all_idles': surplus_upper,
+ 'axis_trace': calls}
+
+
+def main():
+ path = HERE/'inputs/pr5270_p19_word.py'
+ m = load('k004_p19_literal', path)
+ out = {'status': 'REJECT_REPEATED_HEAD_AS_FRESH_STAGE_SUPPLIER',
+ 'source_commit': SOURCE_COMMIT, 'source_pr': 5270,
+ 'source_sha256': sha256(path.read_bytes()).hexdigest(),
+ 'cases': [trace(m, p) for p in (2, 19)],
+ 'scope': 'The literal main-path listing at this pinned head, its axis dispatch and its mismatch with the advertised invoice. This does not refute a different fresh-stage construction or all coded reverse callers.',
+ 'support_argument': 'At column width f every literal Q, R and K acts on the same nine f-bit coordinate blocks. Each original-to-output matrix block has row support at most 2^(9f). A rank-r Gaussian has row support 2^(rf). Fixed finite ordinary owner mixing and monomial boundary recodings cannot bridge this gap for r>9 at all widths.',
+ 'gauge_replay_limit': 'Equality to a reference word using the same reused R proves gauge equivalence only. It does not prove independent-stage target ranks or that a native D call supplies an R letter.',
+ 'direct_upgrade_limit': 'The 224 H1 per native call is the explicit post-Q-on-both-banks recipe, not a lower bound against every redesigned implementation.',
+ 'new_kappa_claimed': False}
+ (HERE/'evidence/repeated-head-probe.json').write_text(json.dumps(out, indent=2)+'\n')
+ print(json.dumps({'status': out['status'], 'cases': [{k: v for k, v in r.items() if k != 'axis_trace'} for r in out['cases']]}))
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/report.css b/research/filtered-native-kappa004/report.css
new file mode 100644
index 0000000000..18fb019e62
--- /dev/null
+++ b/research/filtered-native-kappa004/report.css
@@ -0,0 +1 @@
+body{font:17px/1.6 system-ui,sans-serif;color:#183044;background:#f3f6f9;margin:0}article{max-width:980px;margin:32px auto;padding:36px 44px;background:white;border:1px solid #dbe4ed;border-radius:12px}h1{font-size:2rem;line-height:1.2}h2{margin-top:2.1em}h3{margin-top:1.7em}a{color:#135d9e}code,pre{font:0.85em ui-monospace,monospace}code{background:#edf2f7;padding:.15em .3em;border-radius:3px}pre{padding:18px;background:#edf2f7;overflow:auto}pre code{padding:0}table{border-collapse:collapse;width:100%;font-size:.88em}th,td{padding:9px;text-align:left;border:1px solid #cdd9e4;vertical-align:top}th{background:#edf2f7}blockquote{border-left:4px solid #88a6c0;margin:1.3em 0;padding:0 18px;color:#3f5365}@media(max-width:700px){article{margin:0;padding:18px;border:0}table{font-size:.72em}}
diff --git a/research/filtered-native-kappa004/snapshot_probe.py b/research/filtered-native-kappa004/snapshot_probe.py
new file mode 100644
index 0000000000..5321a86cf6
--- /dev/null
+++ b/research/filtered-native-kappa004/snapshot_probe.py
@@ -0,0 +1,233 @@
+#!/usr/bin/env python3
+"""Search already-paid backward snapshots for the following thin query.
+
+The formal free-group replay retains all 632 arbitrary input columns. Ordinary
+native-warp recodings are allowed when they carry the snapshot frame to the
+requested hyperplane. This is a bounded search, not a complete module algorithm.
+Apache-2.0. Substantial OpenAI Codex assistance; predecessor notices retained.
+"""
+from collections import defaultdict
+from fractions import Fraction as Q
+from functools import lru_cache
+from hashlib import sha256
+from pathlib import Path
+import argparse
+import gzip
+import importlib.util
+import json
+import sys
+import time
+
+HERE = Path(__file__).resolve().parent
+
+
+def need(ok, why):
+ if not ok:
+ raise ValueError(why)
+
+
+def load(name, path):
+ s = importlib.util.spec_from_file_location(name, path)
+ m = importlib.util.module_from_spec(s)
+ sys.modules[name] = m
+ s.loader.exec_module(m)
+ return m
+
+
+def reduced(word):
+ out = []
+ for x in word:
+ if out and out[-1] == -x:
+ out.pop()
+ else:
+ out.append(x)
+ return tuple(out)
+
+
+def recode(row, word):
+ out = defaultdict(Q)
+ for (i, w), v in row.items():
+ out[i, reduced(word+w)] += v
+ return {k: v for k, v in out.items() if v}
+
+
+class Span:
+ def __init__(self):
+ self.basis = {}
+ self.columns = []
+
+ def insert(self, row, desc):
+ v = dict(row)
+ rep = {len(self.columns): Q(1)}
+ while v:
+ p = min(v)
+ if p not in self.basis:
+ a = v[p]
+ self.basis[p] = ({k: x/a for k, x in v.items()},
+ {k: x/a for k, x in rep.items()})
+ self.columns.append((row, desc))
+ return True
+ b, r = self.basis[p]
+ a = v[p]
+ for target, source in ((v, b), (rep, r)):
+ for k, x in source.items():
+ z = target.get(k, Q(0))-a*x
+ if z:
+ target[k] = z
+ else:
+ target.pop(k, None)
+ return False
+
+ def solve(self, row):
+ v, rep = dict(row), defaultdict(Q)
+ while v and min(v) in self.basis:
+ p = min(v)
+ b, r = self.basis[p]
+ a = v[p]
+ for k, x in b.items():
+ z = v.get(k, Q(0))-a*x
+ if z:
+ v[k] = z
+ else:
+ v.pop(k, None)
+ for k, x in r.items():
+ rep[k] += a*x
+ if not v:
+ check = defaultdict(Q)
+ for k, x in rep.items():
+ for t, a in self.columns[k][0].items():
+ check[t] += x*a
+ need({k: x for k, x in check.items() if x} == row, 'Exact recovered row')
+ return v, {k: x for k, x in rep.items() if x}
+
+
+def main():
+ ap = argparse.ArgumentParser()
+ ap.add_argument('--packet', type=Path, required=True)
+ ap.add_argument('--ports', type=int, default=112)
+ ap.add_argument('--output', type=Path, default=HERE/'evidence/snapshot-probe.json')
+ args = ap.parse_args()
+ start = time.monotonic()
+ root = args.packet
+ source = root/'research/native_contact/SCALED-GLOBAL-CANCEL-WORD.json.gz'
+ core_path = root/'upstream/research/involutory-producer-raw-dual/inputs/core/native_core.py'
+ w = json.loads(gzip.decompress(source.read_bytes()))
+ c = w['canonical']
+ core = load('snapshot_native_core', core_path)
+ rows = [core.identity(i) for i in range(632)]+[{}]
+ frames = c['start'][:]+[None]
+ snapshots = []
+ seen = set()
+
+ def save(i, at):
+ f = frames[i]
+ if f is None or len(c['frames'][f]) != 8 or not rows[i]:
+ return
+ key = f, tuple(sorted(rows[i].items()))
+ if key not in seen:
+ seen.add(key)
+ snapshots.append((dict(rows[i]), f, i, at))
+
+ for i in range(632):
+ save(i, -1)
+ paid = defaultdict(int)
+ for pos, e in enumerate(w['programs']['backward']):
+ typ = e[0]
+ if typ == 'scalar':
+ a, f = e[1:]
+ d = a[1][1]+632*(a[1][0] == 'C')
+ if a[0] == 'clear':
+ need(d == 632, 'Only owned erasure')
+ rows[d], frames[d] = {}, f
+ elif a[0] in ('copy', 'add'):
+ s = a[2][1]+632*(a[2][0] == 'C')
+ need(frames[s] == frames[d] == f, 'Scalar frame')
+ if a[0] == 'copy':
+ rows[d] = dict(rows[s])
+ else:
+ core.add(rows[d], rows[s], Q(a[3], a[4]))
+ else:
+ need(a[0] == 'scale', 'Known scalar')
+ rows[d] = {k: v*Q(a[2], a[3]) for k, v in rows[d].items() if a[2]*v}
+ elif typ == 'warp':
+ d = e[1][1]+632*(e[1][0] == 'C')
+ need(frames[d] == e[3], 'Warp entrance')
+ rows[d] = core.warp(rows[d], e[2], True)
+ frames[d] = e[4]
+ save(d, pos)
+ elif typ in ('climb', 'center'):
+ d, old, new, rank = e[2:] if typ == 'climb' else (632+e[1], *e[2:])
+ need(frames[d] == old, 'Paid entrance')
+ frames[d] = new
+ paid[rank] += 1
+ save(d, pos)
+ else:
+ need(typ in ('phase', 'adapter', 'residual_adapter'), 'Known event')
+ need(rows[:632] == [core.expected(i, True) for i in range(632)], 'All independent originals')
+ need(not rows[632] and frames[:632] == c['final'], 'Native return')
+ print('snapshots', len(snapshots), flush=True)
+ # The phase-bearing K_G must be used here. A binary incidence test on
+ # G alone is insufficient for the physical Clifford transport.
+ sys.path.insert(0, str(root/'research/retained_state_next'))
+ kg = load('thin_snapshot_kg', root/'research/retained_state_next/consumer_kg_module.py')
+ ce = load('thin_snapshot_ce', kg.CLIFFORD)
+ review = load('thin_snapshot_review', root/'research/retained_state_next/review_kg_full_frame_kernel.py')
+ group = kg.PhaseGroup(ce, c, True)
+
+ @lru_cache(None)
+ def operator(word):
+ out = ce.ident(9)
+ for op in reversed(word):
+ label = (1 if op > 0 else -1)*(abs(op) % 1000000)
+ out = out.then(group.ops[group.letters[label]])
+ return out
+
+ @lru_cache(None)
+ def frame(f):
+ return review.conjugate(ce, ce.canonical_frame(9, c['frames'][f]))
+
+ @lru_cache(None)
+ def free_transport(old, new, word):
+ op = frame(old).adjoint().then(operator(word)).then(frame(new))
+ return ce.rank([x for x, z, p in op.tab[9:]]) == 0
+
+ results = []
+ for port in range(args.ports):
+ target_f = c['final'][112+port]
+ span = Span()
+ attempted = 0
+ for row, f, owner, at in snapshots:
+ words = {tuple(-x for x in reversed(word)) for (origin, word) in row
+ if origin in (port, port+112)}
+ for word in sorted(words):
+ if not free_transport(f, target_f, word):
+ continue
+ attempted += 1
+ v = recode(row, word)
+ span.insert(v, {'snapshot_owner': owner, 'after_event': at,
+ 'snapshot_frame': f, 'left_native_word': word})
+ goal = core.expected(port, True)
+ residual, recipe = span.solve(goal)
+ # No logical X should be silently dropped by a Y-only control.
+ control = core.identity(port+112)
+ control_residual, _ = span.solve(control)
+ r = {'port': port, 'ordinary_recoded_candidate_rows': attempted,
+ 'independent_rows': len(span.basis), 'recovered': not residual,
+ 'residual_terms': len(residual), 'native_Y_exit_control': not control_residual}
+ if not residual:
+ r['recipe'] = [{'coefficient': str(a), **span.columns[k][1]} for k, a in recipe.items()]
+ results.append(r)
+ print('PORT', port, r, 'seconds', round(time.monotonic()-start, 2), flush=True)
+ out = {'status': 'BOUNDED_NATIVE_WARP_RECODED_THIN_QUERY_SCREEN',
+ 'source_sha256': sha256(source.read_bytes()).hexdigest(),
+ 'core_sha256': sha256(core_path.read_bytes()).hexdigest(),
+ 'native_paid': dict(sorted(paid.items())), 'arbitrary_originals': 632,
+ 'snapshots': len(snapshots), 'results': results,
+ 'scope': 'Backward native word, rank-eight snapshot arrivals; align one target input term by an inverse existing native word. Exact free-group rows. Negative results do not exclude additional group relations or arbitrary ordinary recodings.',
+ 'physical_binding': 'Every candidate transport is tested with the actual conjugate K_G and raw-dual canonical-frame tableaus; its B block has rank zero. A positive recipe would still need literal absolute-phase normalizers and caller wrapper checks.',
+ 'new_kappa': False, 'elapsed_seconds': time.monotonic()-start}
+ args.output.write_text(json.dumps(out, indent=2)+'\n')
+
+
+if __name__ == '__main__':
+ main()
diff --git a/research/filtered-native-kappa004/verify_continuation.py b/research/filtered-native-kappa004/verify_continuation.py
new file mode 100644
index 0000000000..3de68187bd
--- /dev/null
+++ b/research/filtered-native-kappa004/verify_continuation.py
@@ -0,0 +1,156 @@
+#!/usr/bin/env python3
+"""Authenticate and replay the scoped continuation without editing evidence.
+
+Apache-2.0; substantial OpenAI Codex assistance. Passing this verifier is
+not an admission of a new kappa construction.
+"""
+from hashlib import sha256
+from pathlib import Path
+import argparse
+import json
+import os
+import shutil
+import subprocess
+import sys
+import tarfile
+import tempfile
+import time
+
+HERE = Path(__file__).resolve().parent
+ROOT = HERE.parents[1]
+
+
+def need(ok, why):
+ if not ok:
+ raise AssertionError(why)
+
+
+def scientific(x):
+ if isinstance(x, dict):
+ return {k: scientific(v) for k, v in x.items() if k != 'elapsed_seconds'}
+ if isinstance(x, list):
+ return [scientific(v) for v in x]
+ return x
+
+
+def read(p):
+ return json.loads(p.read_text())
+
+
+def main():
+ ap = argparse.ArgumentParser()
+ bundled_archive = HERE/'inputs/original-packet.tar.gz'
+ ap.add_argument('--archive', type=Path,
+ default=bundled_archive if bundled_archive.is_file()
+ else ROOT/'original-packet.tar.gz')
+ ap.add_argument('--replay-predecessor', action='store_true')
+ ap.add_argument('--with-milp', action='store_true')
+ ap.add_argument('--receipt', type=Path)
+ args = ap.parse_args()
+ sources = read(HERE/'SOURCES.json')
+ manifest = read(HERE/'MANIFEST.json')
+ for name, pin in manifest['files'].items():
+ raw = (HERE/name).read_bytes()
+ need(len(raw) == pin['bytes'] and sha256(raw).hexdigest() == pin['sha256'],
+ 'Package source binding: '+name)
+ for row in sources['repository_dependencies']:
+ need(sha256((ROOT/row['path']).read_bytes()).hexdigest() == row['sha256'],
+ 'Dependency binding: '+row['path'])
+ need(sha256(args.archive.read_bytes()).hexdigest() == sources['original_archive']['sha256'],
+ 'Original packet archive binding')
+ commands = []
+ begin = time.monotonic()
+ with tempfile.TemporaryDirectory(prefix='filtered-native-k004-') as temporary:
+ temp = Path(temporary)
+ packet_dir = temp/'original'
+ packet_dir.mkdir()
+ with tarfile.open(args.archive) as archive:
+ archive.extractall(packet_dir, filter='data')
+ packet = packet_dir/'filtered_native_implementation'
+ need(packet.is_dir(), 'Original archive layout')
+ work = temp/'repo'
+ package = work/'research/filtered-native-kappa004'
+ shutil.copytree(HERE, package, ignore=shutil.ignore_patterns('__pycache__'))
+ for row in sources['repository_dependencies']:
+ dest = work/row['path']
+ dest.parent.mkdir(parents=True, exist_ok=True)
+ shutil.copyfile(ROOT/row['path'], dest)
+ environment = dict(os.environ)
+ environment.pop('PYTHONOPTIMIZE', None)
+ environment['PYTHONPYCACHEPREFIX'] = str(temp/'bytecode')
+ environment['PYTHONHASHSEED'] = '0'
+
+ def run(script, extra=(), cwd=work, timeout=600):
+ path = package/script
+ command = [sys.executable, '-B', str(path), *map(str, extra)]
+ started = time.monotonic()
+ result = subprocess.run(command, cwd=cwd, env=environment,
+ capture_output=True, text=True, timeout=timeout)
+ commands.append({'script': script, 'arguments': list(map(str, extra)),
+ 'returncode': result.returncode,
+ 'elapsed_seconds': round(time.monotonic()-started, 3),
+ 'stdout': result.stdout, 'stderr': result.stderr})
+ need(result.returncode == 0, script+' failed:\n'+result.stdout+result.stderr)
+ print('PASS', script, flush=True)
+
+ if args.replay_predecessor:
+ # Fresh extraction: original verification rewrites its own receipts.
+ command = [sys.executable, '-B', str(packet/'verify_delivery.py')]
+ started = time.monotonic()
+ result = subprocess.run(command, cwd=packet, env=environment,
+ capture_output=True, text=True, timeout=600)
+ commands.append({'script': 'predecessor/verify_delivery.py',
+ 'returncode': result.returncode,
+ 'elapsed_seconds': round(time.monotonic()-started, 3),
+ 'stdout': result.stdout, 'stderr': result.stderr})
+ need(result.returncode == 0, 'Predecessor replay failed:\n'+result.stdout+result.stderr)
+ print('PASS predecessor fourteen focused checks', flush=True)
+ for script in ['history_grade_probe.py', 'snapshot_probe.py', 'observer_probe.py',
+ 'paired_observer_probe.py']:
+ run(script, ['--packet', packet])
+ for script in ['exact_pair_check.py', 'acceptance_budget.py', 'independent_budget_check.py', 'repeated_head_probe.py']:
+ run(script)
+ run('exact_pair_check.py', ['--maximum-cost', 8])
+ names = ['history-grades.json', 'snapshot-probe.json', 'observer-probe.json',
+ 'paired-observer-probe.json', 'acceptance-budget.json',
+ 'independent-budget.json', 'repeated-head-probe.json', 'exact-pair-check.json',
+ 'exact-pair-check-budget8.json']
+ for name in names:
+ need(scientific(read(HERE/'evidence'/name)) == scientific(read(package/'evidence'/name)),
+ 'Recomputed scientific evidence differs: '+name)
+ need((HERE/'evidence/observer-subspaces.json.gz').read_bytes() ==
+ (package/'evidence/observer-subspaces.json.gz').read_bytes(),
+ 'Recomputed exact observer subspaces differ')
+ budget = read(package/'evidence/acceptance-budget.json')
+ need(not budget['admitted_construction'] and not budget['new_kappa_claimed'],
+ 'Missing physical words must block admission')
+ history = read(package/'evidence/history-grades.json')
+ need(history['maximum_snapshot_source_grade'] == 8 and
+ set(history['target_source_grades']) == {9} and
+ history['all_original_endpoints'] and history['owned_final_zero'],
+ 'Physical history endpoint and support controls')
+ snap = read(package/'evidence/snapshot-probe.json')
+ need(all(not r['recovered'] and r['native_Y_exit_control'] for r in snap['results']),
+ 'Bounded snapshot negative and positive controls')
+ if args.with_milp:
+ for mode in range(8):
+ run('observer_milp.py', ['--mode', mode, '--maximum-cost', 8, '--seconds', 60])
+ result = read(package/f'evidence/observer-milp-mode{mode}-budget8.json')
+ need(result['solver_status'] == 2, 'Expected bounded solver search result')
+ run('observer_milp.py', ['--mode', 0, '--maximum-cost', 9, '--seconds', 60])
+ positive = read(package/'evidence/observer-milp-mode0-budget9.json')
+ need(positive['rational_residual_terms'] == 0 and positive['solver_objective'] <= 9,
+ 'Rational budget-nine positive control')
+ receipt = {'status': 'PASS_SCOPED_CONTINUATION_NO_NEW_KAPPA',
+ 'new_kappa_claimed': False, 'admitted_construction': False,
+ 'source_manifest_sha256': sha256((HERE/'MANIFEST.json').read_bytes()).hexdigest(),
+ 'python': sys.version, 'commands': commands,
+ 'elapsed_seconds': round(time.monotonic()-begin, 3)}
+ if args.receipt:
+ args.receipt.parent.mkdir(parents=True, exist_ok=True)
+ args.receipt.write_text(json.dumps(receipt, indent=2)+'\n')
+ print(receipt['status'])
+
+
+if __name__ == '__main__':
+ main()