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κ = 8.01598358635541e-4: #352 with Design T + twins on a reordered-design p10b base word (+0.064%) - #353

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Conditional κ = 801598358635541/10¹⁸ ≈ 8.01598358635541e-4 — +5.15e-7 (+0.064 %) over #352 (8.01083628465007e-4).

Stacked on #352 (DaysSky). The complex supplier is unchanged: #352's Sussman E8 unit, b ≈ 8.7625e-4. The bit side binds.

Only the bit word changes. The base is #325's p10b word, regenerated by #325's own producer with two knobs changed:

  • the 12-entry local design list is reordered by one transposition (['A',0,0] is created last; producer/local_design_p10_reordered.json);
  • PLAIN = 12 instead of 8.

That moves the base bit root from 7.70277e-4 to 7.70779e-4. #346's Design T and twin condensation are then applied unchanged, with one exception: twin condensation keeps 470 of the 471 eligible planes, so that the entrance residual sum stays ≡ 0 mod 5 (exact width-100 / 60-replica bank tiling).

bit coarse c κ
#352 801725878336075/10¹⁸ 8.01083628465007e-4
this PR 802241434449067/10¹⁸ 8.01598358635541e-4

Checks run so far: the Design T verifier (legality: 0 violations, 0 degenerate frames, exact F2 restoration) and the bit coarse saving from both rational engines with the 1e-16 fallback. #315's outer assembly gives 47 strict constraints, all positive, and rejects the adjacent grid point.

Draft: the full verify.sh replay (#266 checkers, exact frames, primes, banks, complex guard) is running, and I'll post the PASS line here.

🤖 Generated with Claude Code

https://claude.ai/code/session_01TGoMCHAqctZe4wtb4qr7vv

DaysSky and others added 3 commits October 11, 2026 10:03
… the complex supplier; kappa = 8.01083628465007e-4
…-design p10b base; kappa = 8.01598358635541e-4

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01TGoMCHAqctZe4wtb4qr7vv
The "Verify research artifacts" workflow (make joint-dual-verify) fails on main
and on every open pull request since the root Makefile and README changed
(AssertionError: Makefile in joint_dual_compose.check_sources). Regenerated with
scripts/experiments/pin_joint_dual_sources.py; verify_joint_dual.py and
tests/test_joint_reclaim.py pass (16 tests) under Python 3.11. The joint-dual
certificates only change in their recorded source-manifest hash.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
(cherry picked from commit a45747d)
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