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Conditional kappa 0.001530327580902932: kernel92 plus optimized delivery frames - #536

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Mister-Meeseeks merged 3 commits into
CrocSwap:mainfrom
rohanarun:codex/kernel92-frame-composition
Oct 12, 2026
Merged

Mister-Meeseeks merged 3 commits into
CrocSwap:mainfrom
rohanarun:codex/kernel92-frame-composition

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@rohanarun

@rohanarun rohanarun commented Oct 12, 2026 •

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This composes chafreaky's #533 92-pivot direct504 supplier with the delivery-frame assignment from rohanarun's #534 (Claude-assisted), on icekylinx's #531 architecture.

Conditional κ = 0.001530327580902932, about 0.4015% above #533. Complex lower rate: 0.001532673072778713292743; the complex supplier remains binding.

The new local profile is {1:2174,2:496,3:357,4:226,5:139,6:56,7:8}. Scalar operations, 504 helpers, 92 kernel pivots, helper widths, 7168 live / 7682 physical families, owner assignment and idle remainders stay fixed. Only delivery-operation frames change. The package rebuilds the factory and checks every changed frame is a legal lift of its constructor frame.

The draft was submitted before full verification. The complete packaged Python 3.14.8 replay now PASSES in 121.11 seconds: reconstruction, 92 kernel omission controls, both 728-column scalar orientations, independent emitted-local checks, all 2924 local phase edges and 224 endpoints, normalized wrappers, whole-owner/controller mutation controls, finite invoice, two exact moment engines and 47 strict outer inequalities. Receipts are in evidence/composition/.

An initial integration run caught the old profile assertion in the owner plan; the profile declaration was corrected without changing the owner assignment. Its failure log is retained, and a fresh complete package replay passed afterward. CI success is not claimed.

Frontier note: concurrent #535 reports κ = 0.001584931111785787. This composition improves on #533 but is below that newer claim.

Reproduce: python -B research/kernel92-frame-composition/verify.py /absolute/new/output (Python 3.11+, standard library, assertions enabled).

The unchanged data-controller/data phases and #493 bit operator are pinned dependencies. All-size compilation, common-label/mutable-basis realization, normalized wrappers, restored rows, precision/tape and analytic transfer remain conditional. This is not an unconditional multiplication theorem or a runtime benchmark.

Prepared for rohanarun with OpenAI Codex assistance. PR534's search/frame assignment and checker retain its Claude Opus 5.5 attribution; #533/#531 and all predecessor notices are preserved. No other worker's PR is modified.

@Mister-Meeseeks

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Integrated on main in 9449300, with original commit history and individual credit retained.

Your composition of #533’s 92 pivots and #534’s delivery-frame lifts is integrated. The complete local phase/endpoint, scalar, owner and exact assembly replay reproduces κ = 0.001530327580902932. The full alternative witness, both predecessor credits and your contribution remain preserved alongside the selected #535/#510 composition.

Maintainer review and exact scope · Contributor record. The multiplication claim remains conditional on the inherited all-size/realization/analytic interfaces; these checks do not establish a complete unconditional theorem.

Thank you for contributing this work.

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