Research-Stack/0-Core-Formalism/lean
Brandon Schneider 42884cff2b feat: DegeneracyConversion — unified gate condition from particle physics
Five frameworks, one gate: GRANT iff ||coker(M) residual|| < ε

Structures:
- DegeneracyMatrix: 4×4 Hermitian Q16_16 conversion matrix
- AmplitudeVector: 4-component complex amplitude (real/imag Q16_16)
- hermitianQuadraticForm: J_i = Ψ† M^(i) Ψ

Four steals from physics:
1. Atiyah-Singer: index(M) = dim(ker) - dim(cokernel), conserved
2. Jarzynski: ε_grant = exp(-ΔF/kT), Q16_16 LUT for exp(-x)
3. OPE: C_{ab}^c = M^(c)_{ab}, scaling dimensions as FAMM eigenvalues
4. Kolmogorov 4/5: S_3 = -(4/5)·ε·r, exact, no closure

Gate condition: Q16_16 integer comparison, decidable, deterministic.
gateCondition(residual, threshold) → Bool
unifiedGateDecision(residual, deltaF, kT) → Bool

lake build: 3302 jobs, 0 errors, 1 sorry (kolmogorov_exact)
2026-05-28 19:40:47 -05:00
..
conversions/hardware WIP: accumulated changes 2026-05-25 16:24:21 -05:00
external/OTOM WIP: accumulated changes 2026-05-25 16:24:21 -05:00
LeanGPT Remove legacy Python prototypes superseded by Lean formalization 2026-05-19 15:34:17 +00:00
Semantics feat: DegeneracyConversion — unified gate condition from particle physics 2026-05-28 19:40:47 -05:00
CHAIN_ALL_REVIEW_REPORT.md initial: sovereign research stack (consolidated, weightless, and lfs-optimized) 2026-05-04 18:11:36 -05:00