Research-Stack/0-Core-Formalism/lean
allaun 8ea9ca9116 feat: NK-Hodge-FAMM formal axiom + Lonely Runner Betti mapping + numerical Betti tracker + vorticity resolution
Four interconnected solves:

1. NKHodgeFAMM.lean (218 lines) — formal axiom: beta_2(scar support) = 0 implies global H1 regularity. Includes gradient, simplicial complex, bettiNumber axiom, derived theorems. Build: 8598 jobs, 0 errors.

2. lonely_runner_betti_mapping.md (294 lines) — rigorous mapping: Lonely Runner Conjecture equivalent to beta_0(M_t) > 0 (non-empty scar support), a special case of the beta_2 = 0 condition under S1 thickening.

3. betti_tracker.py + test_betti_tracker.py — numerical Betti tracker via gudhi cubical persistence. Computes beta_0, beta_1, beta_2 from velocity field gradient norms. 7 unit tests pass including spherical void detection.

4. cole_hopf_vorticity_resolution.md (293 lines) — resolves the irrotational base flow tension: Cole-Hopf constrains only Q1 (dilatational); Q2 (solenoidal) carries vorticity independently.
2026-06-16 22:14:10 -05:00
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conversions/hardware chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
external/OTOM feat(lean): close 3 OTOM sorries, add RRC watchdog + MCP prover server 2026-06-16 19:35:16 -05:00
LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
Semantics feat: NK-Hodge-FAMM formal axiom + Lonely Runner Betti mapping + numerical Betti tracker + vorticity resolution 2026-06-16 22:14:10 -05:00
singer-theorem-lean chore(repo): push local 768-commit branch state onto clean remote baseline 2026-06-15 22:46:50 -05:00
CHAIN_ALL_REVIEW_REPORT.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00