Cube recurrence with balanced deferred frames: conditional κ = 9.8699350338e-5

[rohanarun]

Verification completed: Full verification passed on research commit 97750ec74fc714638c0aa4f31aaa880e56cb8b4d: make -j1 verify, package verification and 14 controls completed in 3733.46 seconds with no source drift. All 42 GitHub checks on that research commit passed. See research/cube-deferred/validation.json for commands, log/archive hashes and scope. The inherited general interfaces remain conditional.

Under the inherited stopped-product, endpoint, analytic and fixed-tape hypotheses,

κ = 49349675169/500000000000000 = 9.8699350338×10⁻⁵, 4.17409% above #114.

This replaces the triple-exclusion recurrence with icekylinx's #115 pair-first cube construction, retaining eumemic's #114 balanced core-aware pairs, #111's dual-suffix pair stars, and Avi Eisenberg's #110 lifted/deferred compiler. The original #115 graph with this deferral compiler was also tested and lost; the compatible combination is what improves the complete moment.

Complex producer	#114	This
Roles	37,859	35,678
Deferred roles	5,182	4,909
Strict complex saving	9.4762682e-5	9.8718939e-5
κ	9.4744627892e-5	9.8699350338e-5

The stopped bit supplier is unchanged at 1.240189553e-4. All copied centers, exteriors, source/target fronts, data residuals and endpoint corrections remain paid. The certificate retains #114's conservative charge for expanded readout operations and all three row reserves.

Checked locally: complete producer/frame/profile reconstruction and arbitrary-scratch replay; an independent exact integer source/old-readout audit; the literal inverse/sign-negate/bank-swap circuit with complemented frame incidences and its three mutation controls; exact moments, all 47 strict constraints, seven margins and next-grid exclusions; and 14 package controls, including rejection of #114's old complete profile at the new saving. Source dependencies and frozen inputs are bound by SHA-256. Full verification is now recorded in the package validation receipt.

python3 research/cube-deferred/verify.py
make verify

The package's PROOF.md states the order of the two producer construction phases and the inherited general interfaces. This is a finite conditional witness, not an unconditional theorem, measured speedup, or global optimum.

Credit: icekylinx (#115 cube recurrence, #104 stopped products); eumemic (#114 pair assembly, reflection audit and expanded scalar charge); Avi Eisenberg/ikeboy (#62/#110, Claude assistance); Rohan Gupta/gupt1156 (#55); Rohan Arun (#111/#113, Claude assistance); Swapnil Jain (round seven); Zhihao Chen, RaD/hipotures, Aurel Prosz/Paureel, Douglas Colkitt, OpenAI and all retained contributors. Original licenses and notices remain. This integration was prepared by Rohan Arun with OpenAI Codex assistance.

[Mister-Meeseeks]

Thank you @rohanarun. This contribution is now recorded on main in the scoped reconciliation review and contributor credits.

Contribution: Cube-deferred construction with reflection and coefficient obligations.

Review and limits: Exact-head CI evidence; finite checks retain stated reflection/analytic dependencies.

The complete original source, proof/research notes, notices and relevant replay/CI evidence are retained through the pinned source archive. The review distinguishes fresh runs, exact-head historical CI and prior integration evidence. Closing this historical PR as reconciled; its obsolete headline does not replace the current selected bound, and draft/retracted claims retain their explicit qualifications.

Reviewed head: 295a48a3b966428896057a98c6b4834c0b4b7416. Publication: b84ba67156a01f9c2cb34fe1e3cb1dcdeab00d9c.