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κ = 8.03654539036015e-4: #354's staged Design T + twins on a reordered-design p10b base word (+0.064%) - #357

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Conditional κ = 160730907807203/(2·10¹⁷) ≈ 8.03654539036015e-4, +5.17e-7 (+0.064 %) over #354 (8.03137165163490e-4).

Stacked on #354 (chafreaky). The complex supplier is unchanged: Sussman's E8 unit, as in #352/#354. The bit side binds.

Only the base word changes. #325's producer (as vendored in #329) is re-run with two knobs changed:

  • the local design list reordered by one transposition (['A',0,0] created last);
  • PLAIN = 12.

#329's own discovery scripts then re-derive the stages on that word: 480 descent gates, 120 target groups, 240 restorations and 10 sinks. No kernel, as in #354. #354's Design T + twins follow unchanged, with one exception: twin keeps 470 of the 471 eligible planes, so that the residual sum stays ≡ 0 mod 5 (bank tiling).

bit coarse c κ
#354 160756542666561/(2·10¹⁷) 8.03137165163490e-4
this PR 8043009195213/10¹⁶ 8.03654539036015e-4

Control: the same chain on #325's original design reproduces #354's κ exactly. The #346 byte-for-byte control (step 2c) still runs, on #354's original parity word (kept as data/parity325).

Draft: the full verify.sh replay is running, and I'll post the PASS line here.

🤖 Generated with Claude Code

https://claude.ai/code/session_01TGoMCHAqctZe4wtb4qr7vv

chafreaky and others added 3 commits October 11, 2026 05:32
…ed) on PR329's transcript-staged p10b word (descent, target, restore, sink) with Sussman's E8 complex unit; conditional kappa = 8.03137165163490e-4 (+0.2563% over PR352)

Co-Authored-By: Claude <noreply@anthropic.com>
…reordered-design p10b base; kappa = 8.03654539036015e-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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2 participants