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RETRACTED (4-agent adversarial review, June 30 2026): - π₀(Diff⁺(S⁶)) ≅ ℤ₂₈ → it's Θ₇, not the mapping class group - 28 universal regime bound → formula fails for all n≠8 - Hopf Portability Criterion → circular (conditions D,F definitional) - Noether route → 3 fatal errors (space, generators, dimension) - 12-domain structural universality → coincidental 28 paths SURVIVING: - Cartan block-diagonal structure (4×2 pairs) - Exact arithmetic: σ=39/256, τ=1/7, D=1792, ∆=17/1792 - 17/1792 = λ_min of 2×2 Cartan block (not spectral max-min gap) - 28 = C(8,2) = combinatorial coupling count for 8 strands NEW: - docs/cartan_fingerprint.md: accurate, retraction-documented framework - scripts/cartan_fingerprint.py: refactored from hopf_classifier.py - Helical DNA motivation: isomorphic to biological encoding (base pairs, helix pitch, anti-parallel strands, Hachimoji expansion) This is the correct posture — proven arithmetic, honest about limits. |
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| BindingSite | ||
| CoreFormalism | ||
| PVGS_DQ_Bridge | ||
| RRCLib | ||
| SilverSight | ||
| UniversalEncoding | ||