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Research-Stack/0-Core-Formalism/lean/Semantics
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Brandon Schneider 61ee34b58f feat(lean): genus-1 torus carrier — winding numbers, surface braids, and C1/C2 lane formalization 
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>
2026-05-21 01:06:37 -05:00
..
.github/workflows initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Ancillary Track remaining source and documentation inventory 2026-05-11 22:18:31 -05:00
blackboard initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
build-static initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Core Address fixed-point review findings 2026-05-05 21:26:18 -05:00
ExtensionScaffold Rust ene-session-sync: complete rewrite with Python adaptation layer 2026-05-19 13:53:19 +00:00
legacy initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
OpenWormKernelFieldBenchmark initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Quarantine initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
scripts initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Semantics feat(lean): genus-1 torus carrier — winding numbers, surface braids, and C1/C2 lane formalization 2026-05-21 01:06:37 -05:00
.gitignore initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
AdaptivePrecision.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
AdaptivePrecision.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
AdaptivePrecision.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
AGENTS.md Expand devcontainer with full Python stack, add MCP servers (Notion/AWS), strengthen Lean theorems 2026-05-19 01:52:14 -05:00
BindServer.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
BindServer.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
BindServer.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
Biology.lean Semantics: modularize quaternion, resolve circular dependencies, and eliminate float operations 2026-05-19 14:29:41 +00:00
CombinatorialPrecision.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
CombinatorialPrecision.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
CombinatorialPrecision.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
debug_eval.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
EQUATIONS_EXTRACTION.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
EvolutionaryTransfold.lean Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
EvolutionaryTransfoldExpanded.lean Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
ExtensionScaffold.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
EXTERNAL_REVIEW_REQUIREMENTS.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
ExtremeParameterTestEval.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
ExtremeParameterTestEval.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
ExtremeParameterTestEval.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
ExtremeParameterTestEval_output.txt initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
F01_Q16_16_FixedPoint.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
F01_Q16_16_FixedPoint.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
FPGAExtraction.lean Expand devcontainer with full Python stack, add MCP servers (Notion/AWS), strengthen Lean theorems 2026-05-19 01:52:14 -05:00
FPGAExtraction.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
FPGAExtraction.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
GenerateLUTMain.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
GenerateSparklePhiS3C.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
GenerateSparklePhiS3C.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
GenerateSparklePhiS3C.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
lake-manifest.json Consolidate research stack updates 2026-05-05 21:09:48 -05:00
lakefile.toml Consolidate research stack updates 2026-05-05 21:09:48 -05:00
lean-toolchain Consolidate research stack updates 2026-05-05 21:09:48 -05:00
Main.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
Main.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
Main.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MANIFOLD_NETWORKING_V0.1_ACCEPTANCE.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
ManifoldCompressionAgnostic.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
ManifoldCompressionAgnostic.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
ManifoldCompressionAgnostic.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MATH_MODEL_MAP.tsv initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
MetadataOverheadBudget.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
MetadataOverheadBudget.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MetadataOverheadBudget.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MetaManifoldLanguageMerging.lean Consolidate research stack updates 2026-05-05 21:09:48 -05:00
MetaManifoldLanguageMerging.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MetaManifoldLanguageMerging.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MinimumNeuralCompression.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
MinimumNeuralCompression.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MinimumNeuralCompression.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MOIMBenchmarkMain.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
MOIMBenchmarkMain.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
MOIMBenchmarkMain.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
NominalParameterTestEval.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
NominalParameterTestEval.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
NominalParameterTestEval.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
OpenWormBenchmark.lean Expand devcontainer with full Python stack, add MCP servers (Notion/AWS), strengthen Lean theorems 2026-05-19 01:52:14 -05:00
OpenWormBenchmark.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
OpenWormBenchmark.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
OriginProtocol.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
OriginProtocol.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
OriginProtocol.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
PHASE_COMPLETION_SUMMARY.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
PUBLIC_BENCHMARK_RELEASE.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
PUBLIC_THEORY_RELEASE.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
PurifyMain.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
QuizTest.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
QuizTest.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
QuizTest.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
README.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
SearchServer.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
SearchServer.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
SearchServer.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
Semantics.lean feat(lean): add braid eigensolid receipt gates 2026-05-20 18:49:40 -05:00
Semantics.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
Semantics.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
SIGNAL_ANALYSIS_GENETIC_IMPLICATIONS.md Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
TangNano9KEmitter.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
TangNano9KEmitter.lean.pist collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
TangNano9KEmitter.lean.pist.meta collapse: prover orchestration layers, FAMM verilator harness, swarm topological prober, spec sheets, virtual FPGA system tests, merge conflict resolution 2026-05-06 23:42:01 -05:00
test.lean initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00
TestFintype.lean Expand devcontainer with full Python stack, add MCP servers (Notion/AWS), strengthen Lean theorems 2026-05-19 01:52:14 -05:00
TRANSFOLD_COMPARISON.md Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
TransfoldEquation.lean Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
TransfoldEquationBaseline.lean Track compiling Lean source slice 2026-05-11 22:14:31 -05:00
UrbanAdaptationTransfold.lean Track compiling Lean source slice 2026-05-11 22:14:31 -05:00

README.md

Semantics