[rohanarun]

Conditional κ = 0.001675161536733127: X54 slot on #1148's three-demotion k8 word, with #1148's unchanged T16 owners

This is +3.98889×10⁻⁸ over #1148 (0.001675121647789207, the current best open result). The complex side binds; the PR589 bit supplier is unchanged.

Change. The eighth triangle-hybrid slot X54/E589 (Jeremy Kothe's #1130) is applied to Thomas DiFiore's three-demotion k8 word (research/k8-three-demotions/FULL-WORD.json.gz).

• RECIPE-X54-dem.json is Conditional κ = 0.001673006105142741: eighth triangle slot X54, rank-seven helper ends and T16 owner packing on the eight-slot k8 word #1130's RECIPE-X54-ends7.json with identical edits and frames: 5 deletes, 5 inserts, holder 335 restored at FULL and holder 367 restored early. Only the base and result pins change.
• NewBArch's unchanged build_tri.py gives word content bffd102a….
• The slot is width-neutral. Widths {4:44, 5:44, 7:38, 8:114, 9:240}, the demoted entrances, start/end frames and local prefixes are unchanged. Conditional κ = 0.001675560947524449: joint k8 entrances, rank-seven ends, and T16 hosting #1148's T16 owner map is used unchanged, so the idle stays {1:360, 24:1, 48:4918}.
• Local profile {1:2372, 2:494, 3:412, 4:130, 5:82, 8:8} → {1:2372, 2:494, 3:414, 4:126, 5:84, 8:8}.

Verification: python -B research/k8-dem-x54/verify.py --base <seven-slot k8 word> --work <new dir> passes. Optional reuse: --parent-from / --native-from.

Final line: PASS_X54_ON_THREE_DEMOTIONS_COMPLETE_ADMISSION 0.001675161536733127 (Linux, Python 3.13). The steps are:

1. Rebuild Conditional κ = 0.001675560947524449: joint k8 entrances, rank-seven ends, and T16 hosting #1148's parent geometry (k8-eight-ends-t16/verify.py), checked against Conditional κ = 0.001675560947524449: joint k8 entrances, rank-seven ends, and T16 hosting #1148's PARENT-PINS.json.
2. Build the word.
3. Run the independent audit_local (PASS).
4. Run NewBArch's unchanged run_controls.py (10/10).
5. Run PR635's native chain (all 2,904 phase checks).
6. Check the rebound plan identities.
7. Run Conditional κ = 0.001675560947524449: joint k8 entrances, rank-seven ends, and T16 hosting #1148's unchanged run_global.py strict T16 admission. It covers bind, emit, the controller audit with 15 mutations, the full invoice, assembly with 47 outer inequalities, 69 admission and 12 bit-supplier controls, and the six independent T16 controls.

data/PLAN.json.gz is #1148's plan with its provider identities rebound to the new locals, plus the paid and global profiles. data/SPEC.json was re-frozen by the unchanged run_global.py --discover and freeze_spec.py. Receipts are in research/k8-dem-x54/evidence/.

The package is additive (research/k8-dem-x54/ only) and sits on #1148's branch, so please merge after or with #1148.

Credits:

• Thomas DiFiore (Conditional κ = 0.001675560947524449: joint k8 entrances, rank-seven ends, and T16 hosting #1148): the word, the owners and the admission runner.
• Jeremy Kothe: the X54 slot (Conditional κ = 0.001673006105142741: eighth triangle slot X54, rank-seven helper ends and T16 owner packing on the eight-slot k8 word #1130), the seven-slot k8 word (Conditional κ = 0.00167166528321877: seven triangle-hybrid slots (PR987 search) on the k8 leaver word #1018/Conditional κ = 0.001672651218919025: improved T16 owner packing on the seven-slot k8 word #1074) and the leaver chain (Conditional κ = 0.001671387264390146: all eight mutable-leaver all-K cells, U8 hybrids and frame re-optimisation on PR799's word #1005).
• NewBArch: the triangle-hybrid move, plus the unchanged builder and controls.
• Alexander Schwartzman (Conditional κ = 0.00166202617947539: U8 with two rank-seven helper ends #1030): rank-seven ends.
• Rohan Arun (Conditional κ = 0.001662039077758742 — U10 (two new triangle-hybrid slots) on PR942's T37 owners #987): the slot search.
• Hao Yan: the T16 machinery.
• Every contributor credited in the retained notices.

🤖 Generated with Claude Code

https://claude.ai/code/session_01TGoMCHAqctZe4wTb4Qr7VV

[Mister-Meeseeks]

100-PR batch review at 6d4d0dd1c2df531a3350495dd15e00105793c52d.

This remains open after scoped triage. Next review step: Whole-head supplier review remains open for research/k8-coordinated-owners, research/k8-dem-x54, research/k8-eight-ends-t16, research/k8-eight-ends, research/k8-joint-entrances, research/k8-three-demotions. Bind its exact native providers, physical owner allocation and admission evidence, then reconcile changed predecessor blobs before merge. Path overlap with a replayed descendant does not establish complete coverage; see SUPPLIER-FAMILIES.json.

This is a specific continuation point, not a rejection or a request to redo already recorded checks. Completed local evidence is retained separately from outstanding whole-head obligations.

Batch review, attribution and evidence. Thank you for the contribution.