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Exclude fixed-caller diagonal body batching (0% κ change) - #7144

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ToikY:codex/p104-diagonal-body-retiming-rigidity
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CrocSwap:mainfrom
ToikY:codex/p104-diagonal-body-retiming-rigidity

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@ToikY

@ToikY ToikY commented Nov 11, 2026

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Change and mathematical scope

The exact #7113 signed 8+9 caller retained by #7142 has 30 Type-A and 64 Type-B paid idle events in distinct lane intervals. For each of the 17 independent body variables, every mixing node lies on a zero-old-payment path from input to output. With the scalar and HOST skeleton, arbitrary-input endpoints and field inventory fixed, this forces every diagonal Laurent body gauge to be trivial when replacement body powers are nonnegative. It excludes fusion of these paid body factors through that transport. Changed mixing, inverse-body synthesis, phase-only changes and a separately justified field-packing interface remain open.

NO VERIFIED GAIN. κ change is 0%. The independently reproduced comparable result is #7142 at κ = 0.003643216822476.

Task and overlap

Task joint-query-controller, changed scope to an exact fixed-caller necessary obstruction. Canonical base e54523517d0f03e58352e647c403a5af3e525a57. Caller at #7113 head 07a76c5e2738882c0cb322278e56f6cae3c9885d, SHA-256 255d89f38cd45e38e5770f559bc43dc217e989032359768cdc7e8cdfd64b47bc. #6391 is the nearest signed-idle precedent found and studies a six-field, three-stage inventory with arbitrary constant mixing.

Validation

python3.12 -B scripts/research_package.py --package research/p104-diagonal-body-retiming-rigidity

Clean standalone and registered CPython 3.12.14 runs passed, as did metadata and committed-byte checks. A separate minimum-payment path implementation agreed on all 17 labels in both graphs. The shipped verifier checks equal and unequal transports and the endpoint and nonnegativity controls. The clean run rejects a mutated caller. This scoped proof changes no paid profile.

Credit and next test

Rohan Arun supplied the literal caller and #7142 composition. CubeJerry and retained P104 authors supplied the symbolic and native verification methods. OpenAI Codex and subagents materially assisted. The smallest open test is one pair of causally ready transfers on distinct fields, with exact common-chart embedding, signed phase, independent restoration and fully charged routing and tape.

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