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Three interconnected additions resolving the genus-1 vs genus-3 topology question through structural derivation from the gap-6 prime lane pair: (a) Burgers-PhiNUVMAP bridge (PistSimulation.lean): • `burgersSpatialWinding`: net circulation Σu[i]·dx around torus spatial cycle • `burgersTemporalWinding`: t/dt phase-step count (quarter-turns of T²) • dims 14-15 now hold (w_space, w_time) instead of reserved zeros • Eval witnesses: smooth parabola w_space=10, shock step w_space=4 (b) Torus surface-braid enrichment (BraidEigensolid.lean): • `TorusWinding` structure with a, b cycle counts (spatial + phase) • `TorusBraidCarrier`: wraps BraidState with torus topology • `torusCrossStep`: crossing step with phase winding increment • Each crossStep round at step_count mod 4 = 0 adds one phase increment • Preserves all existing eigensolid_convergence / receipt_invertible proofs (c) Genus1TopologyMetaprobe.lean (new module): • χ = 0, b₁ = 2 theorems for genus 1 • C1 = 6k−1 / C2 = 6k+1 lane predicates and gap-6 pair structure • Torsion-as-time: 4 steps = 1 torus wrap, phaseAngle in Q16_16 turns • Temperature-entropy reciprocity T·S = 1 for single handle • Symplectic intersection ω(a,b) = +1, ω(b,a) = −1 • Surface braid group on T²: winding generators a, b with commutator relation Build: lake build Semantics green at 3541 jobs. Generated with [Devin](https://cli.devin.ai/docs) Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com> |
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| .. | ||
| external/OTOM | ||
| LeanGPT | ||
| Semantics | ||
| CHAIN_ALL_REVIEW_REPORT.md | ||