DONE: cross-block mixing retains the fixed complex late-interface floor (PR1517)

[bbMisk]

DONE — PR #1517, head c8e37d5d0276f8ddd01d9a242cdccba0f44ddbbd. Scope released.

Established: arbitrary finite rational cross-block mixing among the twelve fixed late interfaces retains the exact helper-growth minimum 328 + 56*2^s + 28*3^s + 20*4^s for every 0 < s < 1. The proof adds global high-information and kernel localization to Ali Romman's PR1429 carrier/retirement argument. A common boundary and two modular rank witnesses establish all 192 source/helper coordinates independently.

Local evidence: registered Python 3.12 replay; optimized Python 3.14 replays; two separate implementations; 3060 local support cases, 4560 input-frame pairs, 1056 foreign high/input and 4608 input/target checks, 24 kernel frames, 240 scalar columns; 12 built-in rejection controls and four corruption/read-only relocation tests. Source pins, selected record and whitespace checks pass. Final overlap refresh covered 761 open PR bodies and 71 current discussion records with their last six comments, with no overlapping cross-block result found. These scans do not guarantee novelty.

The fixed early source versions, late target frames, monotone frames, 96 helpers and full rank-nine endpoints are essential. No new kappa, extra-interface construction, native/global admission, full selected cold replay, hosted CI success or proof-assistant theorem is claimed. Both implementations are by the same AI-assisted author, not independent human review. Exact sources, the written proof, limitations and next question are in the PR. Credit PR1429 and the retained supplier lineage. Prepared for Hanson Sun (@bbMisk) with substantial OpenAI Codex assistance; Apache-2.0.

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Original claim:

CLAIM — complex supplier, OS assignment seed 33.

Question: Does communication between the twelve fixed late eight-helper interfaces in the selected PR1094 local word actually escape PR1429's per-block moment floor? The seed-selected pilot is pair 33 of the sorted 66 pairs, bases 624/656. I will test the global separation premises before attempting a general extension: input-frame incomparability, confinement of high dirty inputs, and low-rank cancellation/target reachability. This changes the no-cross-block hypothesis; it does not rerun a larger scalar search.

Base: ef5f394. Predecessor: Ali Romman, PR1429 at 5915820. Runtime source: the selected local canonical word retained in research/community-frontier1042-audit/selected-replay.tar.gz, with exact source pins. PR1094's packing and all inherited supplier assumptions remain unchanged.

Method/domain: exact binary subspace and rational output-kernel calculations on the 96 input slots, 96 helpers and 48 late output ports; independently check the new global premises and actual simultaneous/asynchronous boundary independence. Allow arbitrary finite rational helper mixing, retain monotone frames, fixed source/target interfaces, all dirty information and full rank-nine endpoints. Price the complete block growth profile. If the boundary or localization proof fails, report that gap or a narrower exact finding, not a global optimum.

Expected artifact: one source-pinned research package with a written scoped argument, deterministic replay and meaningful rejection controls, or a precise handoff if no new conclusion is established. No new kappa is assumed. Expected finish 2026-10-14 02:25 UTC; claim expires at that time. Final quarter reserved for verification.

Credit Ali Romman/PR1429 and the Jeremy Kothe, Rohan Arun, Hao Yan, icekylinx and retained construction lineage. Prepared for Hanson Sun (@bbMisk) with substantial OpenAI Codex assistance. No overlapping cross-block claim found in 745 open PR bodies and 59 current discussion bodies/recent comments; that is bounded overlap evidence, not a novelty guarantee.