Commit graph

5 commits

Author SHA1 Message Date
Allaun Silverfox
c714a10374 agent-swarm: optimize core math, close E=mc2 trace
- Fix BindAxioms associativity: semigroup cocycle condition
- Replace 4x True:=by trivial with real theorem statements
- Implement fisherRaoDistance via Real.arccos
- Add chaos_trajectory_no_collision, sidon_guided_basin_unique
- Deterministic sidon_guided_chaos_game with convergence detection
- Structurally informative EquationShape type signatures
- Principled 5D manifold from real equation properties
- Proper Merkle tree with non-commutative mixHash
- spectral_to_sidon_address pipeline
- Close one trace: E=mc2 -> EquationShape -> Sidon -> Chaos Game -> Receipt
- Receipt: ff9976852fa80ecaa9bc8158430497a771a00adf9a162b936b26d57dc84126e3
2026-06-20 22:43:52 -05:00
b038778361 feat(lean): SDPVerify, GoormaghtighCert, Hachimoji modules; Gremlin mathblob graph loader; branch cleanup
- SDPVerify.lean: certificate verification engine (714 lines, compiles cleanly)
- GoormaghtighCert.lean: Goormaghtigh conjecture SDP certificate
- HachimojiManifoldAxiom/HachimojiSubstitution: Hachimoji DNA encoding
- GeneticBraidBridge.lean: genetic algorithm braid bridge
- load_dependency_graph/load_module_graph: Gremlin Cosmos DB graph loaders
- test_graph_queries/rrc_math_xref: graph verification queries
- Gremlin mathblob DB provisioned and accessible
- Branch cleanup: deleted 11 stale remote branches

Build: 3297 jobs, 0 errors (lake build Semantics.SDPVerify)
2026-06-19 23:06:16 -05:00
00e9eed399 fix(lean): complete projectionOrdering proof in GeometricCompressionWorkspace
Replace the TODO(lean-port) sorry with a complete proof of the
projectionOrdering theorem: for positive SourceValue pairs s1 < s2
with s2 ≤ maxExpected, projectToCoding preserves strict ordering
of the Q0_64 values.

The proof uses Nat-only arithmetic (no Float) and handles two cases:
  - a2 < d: both values fit in Q0_64 range, ordering follows from
    monotonicity of integer division
  - a2 = d: a2*s/d = s clamped to q0_64MaxRaw; a1*s/d < q0_64MaxRaw
    via the key inequality (d-1)*s < (s-1)*d

Build: 8598 jobs, 0 errors (lake build)
2026-06-18 15:06:50 -05:00
475f6319ea chore(repo): push local 768-commit branch state onto clean remote baseline
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)
2026-06-15 22:46:50 -05:00
Brandon Schneider
4965029758 feat: integrate May 2026 math papers into Research Stack
1. Singer Sidon Sets (2605.03274):
   - New SidonSets.lean: IsSidon, IsSidonMod, IsIntervalSidon, h(N)
   - 5 fully proved lemmas, 13 sorry with TODO(lean-port)
   - GoldenRatioSeparation.lean: singer_density_lt_golden (proved)
   - lake build: 3303 jobs, 0 errors

2. Hexagonal lattice + RG (2605.09974):
   - New test_hexagonal_lattice_rg() in unified_rg_tests.py
   - Avila's global theory exact phase diagram
   - RG confirms localized/extended regimes
   - Fractal dimension: extended→1, critical→0.5, localized→0
   - 7 tests, all pass

3. Burgers + Hopf-Cole + Fokas (2605.11788):
   - Added solve_heat_fokas() — unified transform method
   - Added solve_burgers_fokas() — full Burgers via Hopf-Cole + Fokas
   - Added solve_heat_fourier_series() — comparison solver
   - Fokas converges in ~64 quadrature points vs Fourier 2000 terms
   - Hopf-Cole FFT: 8-208x faster than finite differences
2026-05-30 18:16:57 -05:00