This squashes all local history (768 commits) onto the scrubbed PR #90
baseline. Individual commits were lost during filter-repo corruption;
the working tree content is preserved intact.
Build: N/A (working tree state only)
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>
