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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)
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| .. | ||
| conversions/hardware | ||
| external/OTOM | ||
| LeanGPT | ||
| Semantics | ||
| CHAIN_ALL_REVIEW_REPORT.md | ||