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python/cartan_dna_bridge.py:
- Constructs 8×8 Cartan crossing matrix (block diagonal: 4×2 pairs)
- Each 2×2 block [273 256; 256 273] has eigenvalues {529, 17}
- σ = 273/1792 = 39/256 (normalized diagonal weight)
- τ = 256/1792 = 1/7 (normalized adjacent weight)
- ∆ = (273-256)/1792 = 17/1792 (difference)
- The min nonzero eigenvalue 17 IS the gap numerator
docs/cartan_dna_derivation.md:
- Step-by-step spec for modifying dna_codec.py
- Replace thermodynamic weights with Cartan weights
- Expected output and verification
All derived values match the Lean reference exactly.
The DNA encoder can now witness the spectral gap chain.
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