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Exclude one-slot Type B even-idle fusion (0% κ change) - #7315

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ToikY wants to merge 3 commits into
CrocSwap:mainfrom
ToikY:codex/p104-even-idle-projector-bound
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ToikY wants to merge 3 commits into
CrocSwap:mainfrom
ToikY:codex/p104-even-idle-projector-bound

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@ToikY

@ToikY ToikY commented Nov 11, 2026

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Change and mathematical scope

NO VERIFIED GAIN. Exact conditional κ change 0%. On the exact 17-stage #7113 caller under the complete #7277 invoice, all 1,348 Type B disjoint-mask even IDLE_ONE pairs fail the necessary projector equality for one grouped idle at any clock and single role. The 544 singleton pairs are a reproduced subset. Both scopes exhausted with zero unresolved.

At unit body values, deleting and inserting even idles leaves all other specialized factors unchanged. The disjoint stage derivatives require the new idle's projector to equal both old normalized projectors. An independent exact rational implementation verifies the primary modular exclusions at both q signs. The complete directed price is saved first. The optimistic compatible-stock uppers are 5.45030389 raw units for the singleton scope and 35.71990805 for the full scope. The support gate reduces each to zero.

Task and overlap

Round 52–53 of Discussion #7111. Base e54523517d0f03e58352e647c403a5af3e525a57. The caller is #7113 at 07a76c5e2738882c0cb322278e56f6cae3c9885d, and the comparator is #7277 at ed090b57ed88f8859e5ff4643645099e6ba856ea (κ = 0.003645669928698). The earlier 1,984-pair test in #7111 applies the same criterion to the 18-stage #7108 caller. This package refines the scope to the 17-stage Type B inventory and adds exact independent arithmetic and the complete price. The branch retains both hosted-replay prerequisite commits from #7257 with original authorship.

Validation

From a clean checkout with CPython 3.12 and assertions enabled:

python3.12 -B scripts/research_package.py --package research/p104-even-idle-projector-bound
python3.12 -B scripts/check_research_commit.py --package research/p104-even-idle-projector-bound --check-modes --check-source-history

Seven exact public sources are bundled. Registered replay, committed-byte/mode/source authentication, Git-free export replay, and six navigation tests passed locally. Corrupting the caller was rejected. The package authenticates six deterministic receipts and can emit them with --out fresh-receipts. Hosted and separate historical replay remain pending at submission.

Credit

#7113 supplies the signed caller and interface, #7277 the complete comparable witness and invoice, #7108 and Discussion #7111 the earlier conjugacy screen, and #7003/#7002 the derivative-projector lineage. #7144, #7295, #7296 and #7305 supply related fixed-caller, price and BIT precedents. OpenAI Codex and subagents materially assisted.

Open next questions

The rest of the caller is fixed. Multi-role replacements, changes to other events, and other idle classes remain open. The package notes which derivative equations would have to change for a broader construction.

Clear1nsight and others added 3 commits November 11, 2026 15:39
This is the exact documentation prerequisite retained by CrocSwap#7156. It points the onboarding check to the selected CrocSwap#7000/CrocSwap#7001 review. Credit to Rohan Arun and the source authors.
The PR CrocSwap#6292 rejection census and package plan are statements about 2485805. Load its exact sources and planner in a private sparse checkout, keeping all source hashes, 19 expected rejections, nine package selections and the empty-plan control. Subsequent edits to the live Makefile and CI guide no longer invalidate this historical check.

The original audit is by unpaidmoon, building on Dennis’s historical replay gate. The pinned repository view follows the precedent of Matarener’s PR CrocSwap#5434. Repair prepared with substantial OpenAI Codex assistance.
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