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Certify zero four-shear headroom in twelve PR4470 receiver windows (no new kappa) - #4546

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Clear1nsight:research/four-shear-window-ceilings-20261022
Oct 22, 2026
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Mister-Meeseeks merged 5 commits into
CrocSwap:mainfrom
Clear1nsight:research/four-shear-window-ceilings-20261022

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Upstream publication and complete scope

Publishes fork PR #18, preserving exact verified head 55b8d34c82fc4df6499c5037e156db6e990b96fe. Publication comparison was refreshed against upstream f626db5c3a3d781d8f7695038776c621651f75e1 on 22 October 2026: 17 changed files, 5 contribution commits. The scientific package is isolated in its own directory, but the complete upstream diff also carries the shared historical-replay/source-role and navigation/CI repairs from its preparation base, plus the base documentation. Shared repair bytes overlap across fork #14–#18 and must be reconciled once; they are not independent scientific contributions. All five research heads have successful exact-head fork workflows. Opening this PR is not a new scientific replay, upstream CI pass, merge or theorem acceptance. Scientific source pins, attribution and scope limitations are retained.

Related construction replay: upstream #4543, originally fork #15. This ceiling uses a separate implementation and does not add overlapping window gains.


Change and mathematical scope

Assignment B independently certifies zero optimistic paid-moment headroom in all twelve tested PR4470 receiver windows at C=0.00302015. It covers every word of at most four unit shears on the three persistent fields with the same logical endpoint and fixed entrance/exit contract. No new kappa, global ceiling or physical supplier admission.

For each of four sign choices, the exact integer-matrix census enumerates 22,621 words and finds 84 endpoint matches: two of length two, two of length three and eighty of length four. Forward mandatory spans and backward permissible intersections give a favourable dimension relaxation containing every actual monotone frame path. Every movement and terminal gap remains charged. The best gain upper bound is exactly zero in all twelve windows, even before enforcing all simultaneous incidence constraints. Ten windows have one relaxed profile; two have four, none improving.

This strengthens fork PR15's three-shear negative result through a separately implemented enumeration, relaxation and interval calculation. PR15's acceptance code is not imported. The original path is admitted, so zero is attained by the incumbent. The source contains 128 eligible pairs, but this result covers only the first twelve, all in phase B. Individual results cannot be added across overlapping windows.

Task and overlap

Canonical base f9f85c1e4fa1e955ff39f10fca447e3e2a4e4adc, PR4470 head b9a13c1673e0e9697de410de16e8bbf3207a7363, priority revision 7. Seven exact source files are authenticated before the inherited constructor emits the data. TASK.json records the refined independent-moment assignment and complete original card.

PR4121 concerns older T360 sources; #4091's old fixed-inventory ceiling is not applied outside its hypotheses. The final refresh also located PR4535's higher critical-root conditional transfer and PR4534/4539's noncommuting-controller work. Those change future comparison points or available interfaces, not the frozen twelve-window result. Searches were targeted, not exhaustive overlap pagination or novelty proof. The historical baseline helper was not run.

The scientific contribution remains pinned to its isolated preparation base. This upstream submission preserves the exact verified head; no merge or selected-frontier change is requested.

Validation

The first full source-bound workflow 39724143539 passed at dce9576ec448af52009ec13a4f8c1a740fb4a8d8, on Ubuntu and CPython 3.12.15, standard library only. Metadata/source checks, all twelve ceilings, optimised controls and preservation of committed inputs passed. RESULT.json retains every emitted field. A separate local check using the observed boundary fixtures reproduces the ceiling rows, but is not claimed as another fresh source extraction.

Publication head is 55b8d34c82fc4df6499c5037e156db6e990b96fe; its complete rerun is 39726182814. Read that exact-head check for final status. The outcome enum was corrected to negative-result without changing science.

The registered replay.py authenticates the unchanged scientific engine and compares every field in canonical JSON form, addressing integer rank keys versus JSON string keys. Six controls reject altered values/types, reordered arrays and missing/extra fields. It never rewrites evidence or uses the authoring path. Original controls include all four scalar censuses, 68 actual small geometric paths, required exits, incompatible exits and exact equal-profile handling.

python -B scripts/research_package.py --package research/four-shear-window-ceilings
python -I -O -B research/four-shear-window-ceilings/verify.py --self-test

No new physical lowering, full native endpoint, compiler/outer admission, global optimisation, selected cold replay or optional source-history preflight was performed. No conclusion about longer/nonadjacent/joint rewrites, extra fields, nonunit coefficients or the other 116 windows follows.

Credit

Credit zxv's receiver-sharing and productive-helper work, Cinna Davis's PR4470, Jacob Alan Sussman, GamingPuzzled's older census and retained native/Clifford/geometry/outer contributors. Prepared for Chris R / Clear1nsight with substantial OpenAI assistance, Apache-2.0. Separate implementations in one session are not independently launched agents, human review or formal acceptance.

Open next questions

Change the length cap, coefficients, adjacency, owned-field allowance or producer/consumer boundary explicitly before reopening this domain. First derive the complete optimistic cost model and test a structurally justified window. A positive relaxed profile in a changed model would still require a geometric realisation and physical/consumer validation. Do not reseed these twelve fixed cases or sum overlapping gains. README.md, TASK.json and the public handoff preserve the scoped exclusion.

Reuse the PR14 fixes and zxv PR4436 navigation, retaining original scientific hashes and verifiers. Historical original-manifest availability now binds to canonical main. No main branch, PR or selected frontier is merged.
…axation

Enumerate all 22621 words per sign case and every relaxed contact dimension profile on twelve source-bound windows. Keep exact matrix endpoints, terminal charges, source pins and directed moment bounds. No attainable-circuit or global-ceiling claim. Substantial OpenAI assistance.
Record the successful source-bound replay, complete finite alphabet and all receipt fields. Keep scope limited to the fixed twelve windows; do not exclude the other 116 or changed contracts. Scientific checker and frozen inputs unchanged.
Only the author metadata enum changes. Retained result, mathematical checks and frozen sources remain unchanged.
…mparison

Authenticate and freshly execute the unchanged scientific engine, normalise only JSON object representation, and reject changed counts, types, array order and fields. No source, numerical result or mathematical check changes.
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