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Conditional kappa ≈ 0.00171714158635 via joint twelve-source recovery - #2751

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tekuuu:research/t74-joint-twelve
Oct 16, 2026
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Mister-Meeseeks merged 1 commit into
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tekuuu:research/t74-joint-twelve

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@tekuuu

@tekuuu tekuuu commented Oct 15, 2026

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This jointly reassigns all twelve T74 source aliases, including the four older recovery paths held fixed by PR2720. All eight central recursive children remain rank8. After composing PR2679's six pre-life hosts/refit and PR2673's complete owner allocation, the new conditional κ is 0.001717141586348426338109…, about 0.05834% above PR2733 and PR2745. The exact rational is 0.001717141586348426338109 - 10^-46 - 10^-70; the selected frontier is unchanged.

The four changed (removed helper, source, partner) assignments are (696,33,49),(697,55,101),(698,74,83),(700,85,98). PR2696's eight assignments are retained. Both members of each old source pair are recovered after their last original uses; all compensation and inverse cleanup are generated from the actual symbolic word. The twelve lifted target offsets avoid every cut target. This changes PR2720's fixed-path premise rather than contradicting its scoped obstruction.

The full profile improves by 2664*(H8-H7-H1) relative to PR2733; strict subadditivity proves a smaller paid moment for 0<p<1. Physical stock remains66801, with415 helpers,72 private buffers,666 calls and276390 hosted roles. The complete profile is {1:1593072,2:430236,3:204396,4:79920,5:22532,8:5328,32:1,48:26558}. Every source recovery, frame, copy, cleanup, child and idle remainder is charged.

Validation:

  • Both changed native providers passed all five stages freshly. The complete strict supplier and modern outer release passed, including63 exact outer inequalities,17 rejecting controls and19 inherited evidence replays. Authenticated retained-parent/native evidence is explicitly reused.
  • The public full wrapper passed end to end with exact local pristine source and the published authenticated cache. The default remote-download/all-fresh branch was not run as one invocation; execution coverage is recorded in EVIDENCE.json.
  • The portable generator positively reconstructs both complete PR2462 words and regenerates both new complete words. Independent symbolic forward/dual, actual frames, cleanup, full hosting and rational adjacent root-bracket checks pass.
  • Registered Python3.12 replay passes, including mathematical mutations, Git-free read-only relocation, altered claim/input rejection and optimized-execution refusal. Both latest comparison claims are pinned and compared exactly.
python3.12 -B scripts/research_package.py --package research/t74-joint-twelve
# Full release (install package requirements.txt; fresh external directory):
python3 -B research/t74-joint-twelve/full_replay.py --work /tmp/FRESH-joint-twelve

Only research/t74-joint-twelve/ is added: approximately5.8MB including compressed complete certificates, portable generator and a readable derivative-checker patch. No giant predecessor source import. Mutation adaptations retain failure coverage for actual changed gates and unsplit centre descents. The generic coverage-law cap is .001750373331784, realized fraction.9810144814068302; no sharp packing optimum is claimed.

Scientific base c22e42de697334df85337e005864773cdc2bc98b; canonical main fetched through 7ef5f7150476fdf995b286b9cdbed262c631939c, relevant guidance and selected record unchanged. Submission overlap includes727 open PR bodies and recent discussions; limits and exact heads are in FRESHNESS.json.

Prepared by Tekalign (@tekuuu) with substantial OpenAI Codex assistance. Credit Mason Hale/2696, Philippe Van Velzen/2679/2559, Jeremy Kothe/2462/2588/2673/2745, zxv/2530, themilkman216/2621, Marius-Paul Dumitrean/2733, Cinna Davis/2226, the2436 lifted-target work and retained native/owner/bit/outer lineage. Notices are preserved; new work Apache-2.0. No independent human or proof-assistant review claimed.

This is a conditional construction, not an unconditional multiplication theorem or practical speed benchmark. Inherited all-size/compiler, common-label/source access, physical hosting/routing, precision/tape, recovery/analytic transfer, recurrence, bit-supplier and outer assumptions remain. README includes open next questions.

@thakrarsagar

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An independent, source-bound verification of this PR at head 4cfbb0cc is in #2865. No defect was found.

It checks:

  • both words, exact forward and dual through cleanup and the target endpoint in the free-operator model;
  • the lenders and pair recoveries;
  • the delta against PR2733@2761b52b;
  • the complete profile from all 276,390 roles;
  • stock and the endpoint enclosure;
  • a computed reconciliation with Prove the fixed-contract T74 inherited-correction floor #2720 that confirms your README line 62.

Small, non-blocking wording notes:

  • PROOF.md calls the four recovery gate pairs "added". Against PR2696 and PR2733 they are moved, from B1034–1041 to B569–672, with identical algebra and frames.
  • "Original operator IDs remain stable" is true for the ids, but ops 47–50 carry new G and E (the ports go to line 45). Anyone matching by op id should compare the charts.
  • The 2664(H8−H7−H1) dominance is against 2761b52b, which CLAIM.json pins. Against Improve conditional kappa to 0.00171625567823018 with composition and a frame refit #2733's current head a63c55ff the change is 2664(H8−H7−H1) + 666(2H1−H2). PR2751 still wins, by 8.86e-7.

Details and the remaining author-checked items are in #2865 and Discussion #2612.

Mister-Meeseeks pushed a commit that referenced this pull request Oct 16, 2026
#2818

Fresh standard-library checks of the seven declared stages on both T74 words:
event diff and own stage-by-stage rebuild, per-register occupancy timeline,
forward/dual free-algebra replay plus a matrix realisation, GF(2) warp frames
and refit exactness, profile and inventory recount by two subspace
representations, the 271728-role fill with R derived from the words, the
complete profile, mass and root bracket, and the PR2766/retired5/retired7
gain attribution. 26/26 rules pass and 15/15 negative controls are rejected
by their named rules. #2818's words, fill, order and providers are
byte-identical. No kappa claim; inherited obligations remain.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
@Mister-Meeseeks
Mister-Meeseeks merged commit 4cfbb0c into CrocSwap:main Oct 16, 2026
16 of 61 checks passed
Mister-Meeseeks pushed a commit that referenced this pull request Oct 16, 2026
Conditional kappa 0.001717794984118634663827 - 1e-46 - 1e-70
(+6.534e-7 over #2751, +5.380e-7 over #2766 and #2767).

New package research/t74-joint-twelve-retired7; #2751's directory is
unchanged. It contains the five retired-lender aliases of the local
retired5 construction (606<-550, 635<-551, 637<-552, 638<-553,
639<-562) and adds two hostee moves: the #2226 borrows of B-warps 30/31
move from lenders 401/403 (own lives ended in A) onto the free retired
lenders 564/565 (last gates refit to their exact floor, dim 6 -> 5),
which frees 401/403 for two more #2679-type aliases 667<-401 and
669<-403 (+3.857e-7 over retired5). Stage inputs refit7/hostmove2/
alias7/refit7c with exact structure checks and 25 tamper controls per
word (retired7_controls.py), certified optimal frames, the compacted
owner fill (271728 roles, R 408), checker adaptations
(RETIRED7-CODE.patch), a registered bounded hook and evidence.
Mister-Meeseeks pushed a commit that referenced this pull request Oct 16, 2026
… floor

Adds research/t74-2751-joint-twelve-audit, a standard-library, source-bound
independent verification of open PR #2751 (tekuuu, head 4cfbb0c; T74 joint
twelve-lender recovery, conditional kappa ~0.0017171416). It also adds a
computed reconciliation with open PR #2720 (petalas, head 813fae6;
fixed-contract inherited-correction floor). PR files are read as 49 pinned
git objects and never executed. No defect found.

- Both words are exact in the free-operator model through cleanup and the
  target endpoint, forward and dual. All 12 lenders and all 4 pair
  recoveries are checked.
- The change set and per-word delta 4(H8-H7-H1) are checked against
  PR2733@2761b52b.
- PR2720's Q (det -1/16) is reproduced on its own input words. On PR2751's
  words the projection is zero on its rows; the correction moves to
  21/37/47/110 (det 1/2), which are never cut-written.
- PR2720's hypotheses are evaluated from verbatim quotes. Changed: h1, h2a,
  h3, line-30. Kept: h2b, h2c, cut incidences, zero readers, rank-8.
- The complete profile is rebuilt from 276,390 roles in two
  implementations; also checked: stock 66801, the endpoint enclosure, and
  the comparison with PR2733's current head.
- The #2766/#2767 profile identity and the downstream word structure
  (#2802, #2818, #2824, #2827, #2833) are checked.
- 356/356 negative controls are rejected, each by its named rule, with 9
  positive controls.

No new kappa; the selected frontier is unchanged.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Mister-Meeseeks added a commit that referenced this pull request Oct 16, 2026
Original authors and exact source bytes preserved. Source-only intake and all remaining scientific obligations recorded in research/community-efficient2200-audit. No selected frontier change.

PRs: #2581, #2597, #2622, #2629, #2634, #2639, #2677, #2691, #2694, #2696, #2697, #2700, #2711, #2715, #2718, #2724, #2728, #2743, #2748, #2749, #2751, #2753, #2757, #2764, #2766, #2773, #2784, #2790, #2802, #2804, #2806, #2809, #2816, #2819, #2823, #2824, #2826, #2827, #2862, #2863, #2864, #2865, #2866, #2871, #2923, #2924, #2925, #2927, #2930, #2931, #2932, #2933, #2934, #2935, #2938, #2939, #2940, #2941, #2942, #2943, #2944, #2947, #2949
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3 participants