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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. |
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| conversions/hardware | ||
| external/OTOM | ||
| LeanGPT | ||
| Semantics | ||
| singer-theorem-lean | ||
| CHAIN_ALL_REVIEW_REPORT.md | ||