2 commits

Author	SHA1	Message	Date
allaun	7f17cf29f3	docs: add non-claim clarification — chiral labels are numerical, not biological ... helical_encoding.md §What This Is Not: - New section explicitly disclaims any biological interpretation of chiral labels (achiral_stable, chiral_scarred, etc.) - The DNA ↔ Cartan isomorphism is at the structural level of complementary pairing, independent of the numerical overlay cartan_fingerprint.md: - Same clarification added to the isomorphism section	2026-06-30 20:16:18 -05:00
allaun	3e84926734	docs(helical): document DNA ↔ Cartan isomorphism — helical encoding as proven paradigm ... docs/helical_encoding.md: - 5 structural reasons DNA uses a helix (complementarity, anti-parallel, periodic pitch, stacking, thermodynamic stability) - Cartan matrix ≡ Hachimoji base-pairing matrix (isomorphism, not analogy) - λ_min = 17 = diagonal - adjacent = DNA mismatch energy gap - Fidelity floor: ~0.95% minimum distinguishable pairing difference - 8-base expansion doubles pairing capacity (2→4 pairs) - Provenance: python/dna_codec.py, cartan_dna_bridge.py, Hachimoji*.lean Classifier verified against 3 test problems: - braidstorm-8strand: σ=39/256 τ=1/7 D=1792 ∆=17/1792 ✅ - ising-8spin-chiral: same fingerprint ✅ - bad-problem: correctly rejected (n=5, not valid Hopf dimension)	2026-06-30 20:14:43 -05:00