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Improve conditional κ to 0.0016805 with selective dirty borrowing and physical owner repacking - #2260

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Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
Dugongue:kp1
Oct 16, 2026
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Mister-Meeseeks merged 1 commit into
CrocSwap:mainfrom
Dugongue:kp1

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Improve conditional κ to 0.0016805 with selective dirty borrowing and physical owner repacking

This adds a new exact finite complex supplier and obtains κ=3361/2000000=0.0016805 under the project's retained all-size and analytic interfaces. It exceeds the highest competing open conditional claim in the recorded review (PR #2220, approximately 0.0016797549561255445) by approximately 7.45044e-7, or 0.0443543%. The gain changes the actual paid construction rather than refining digits of the same supplier. Selected-result pointers remain unchanged.

Starting from Cinna Davis's PR #2226 anticipatory borrowing architecture, the new 44-alias selection retains 436 helper roles. The package supplies both complete native orientations, exact dirty restoration/private cleanup, actual helper and data endpoint adapters, and a new physical owner packing for all 72 calls of the T8 parent. Its complete profile certifies complex saving b=0.0016834 in two independent rational engines, including the conservative retained bad-residue surcharge. The retained bit rail and seven-level ordinary bootstrap then pass all 47 strict outer inequalities at the stated κ.

The changed controller has 31,392 literal helper assignments and 7,150 actual 73-column charts. An independent implementation checks 387,072 family-tagged Gaussian factors, keeping every retained translation and exact phase. Fresh exact-dyadic work/stock/precision accounting charges 7,745 physical families, magnitude guard 244λ<512λ and row coefficient 16467<20161. This does not use cross-family rank reassignment or introduce an intermediate rounded-child assumption.

Validation: complete isolated optimized Python replay; 5,992 exact native jobs; all 660 public columns and both 76-CLEAR owned-private postludes; physical chronology/charts and factor partition; finite invoice; two independent exact moment engines; all 47 strict outer rows; local/ownership/phase/direction/cross-family/arithmetic fault controls. Eleven optional universal lemmas additionally pass fresh Lean 4.33.0/Mathlib v4.33.0 kernel and axiom checks, using standard axioms only. The full multiplication result is not formalized in Lean. Local Python was 3.11.9; Python 3.12/hosted CI is not claimed in advance.

Reproduce from the repository root:

python3 -I -O -B research/selective-borrowing-kappa/verify.py
python3.12 scripts/research_package.py --package research/selective-borrowing-kappa

The self-contained 70-file package includes exact inputs, replay scripts, proofs, immutable source/file pins, preserved licenses/notices and CI registration. It imports no personal Lean tree. Scope remains conditional on the retained all-size exact compiler, physical fixed-tape execution, completed ordinary/bit interfaces, recovery and analytic transfer. Substantial OpenAI Codex assistance by one primary and three agents; no independent human review claimed. The frozen package records the review through PR #2251 at 2026-10-15T02:15:55Z. A final fully paginated refresh through PR #2258 at 02:32:48Z found no higher κ claim; each newly changed PR body was read. This is metadata screening and targeted relevant code review, not a claim to have read every diff/discussion.

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Mister-Meeseeks commented Oct 15, 2026 •

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Maintainer replay at fde6b107e26a14da5bac5b66913c914708ea6901: the local/native checker and actual-owner/chart checker pass, and separate runs of the fresh invoice and two-engine/47-row arithmetic also pass at κ = 0.0016805. Review covered the supplied local, owner, factor-partition and assembly arguments; this remains conditional on the stated inherited interfaces, with no selected-frontier change.

The registered complete command currently stops in independent/verify.py:

ValueError: frozen independent receipt differs: actual_factors_sha256

All other expected receipt fields match. Replayed ACTUAL-FAMILY-FACTORS.json.gz has compressed SHA256 a06dd8ea7260cc710e8b313b438466d018bb8f2ceb18258ae8078be00d08c232, versus expected 81289c868dc9672572154e3cdebddc43241491f16f06353512e7c4b9a18f4881. The decompressed payload SHA256 is 33d9b4a0744997b975e3f426c737062d783bed0c1065df4dac42b8dc173838b4. This reproduced under the macOS CPython 3.12.11 environment and a second Python interpreter. Recompressing with zlib 1.2.13/1.3.1 and varying the gzip OS byte did not reproduce the frozen commitment, so I have not assumed this is solely a compression-header issue.

Please supply the original generated payload (or explain/reproduce the original hash), then change cross-environment replay to compare its decompressed/canonical payload hash, preserving the original source commitments. A negative control that changes a factor's family/axis while retaining aggregate counts should still reject. This is a reproducibility hold, not a mathematical rejection. The optional Lean kernel claims have not yet been independently rerun in this maintainer pass.

Follow-on cross-check: #2265 already records this same mismatch and publishes a decompressed-payload pin. Its 33d9b4a0… pin exactly matches this fresh maintainer reconstruction, and its complete replay passes. That corroborates the regenerated payload, while the relationship to #2260’s original compressed commitment remains unresolved.

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Mister-Meeseeks merged commit ee997d5 into CrocSwap:main Oct 16, 2026
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