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allaun
212cfa7460
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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| .. | ||
| Bind.lean | ||
| BraidBracket.lean | ||
| BraidCross.lean | ||
| BraidEigensolid.lean | ||
| BraidField.lean | ||
| BraidSpherionBridge.lean | ||
| BraidStateN.lean | ||
| BraidStrand.lean | ||
| ChentsovFinite.lean | ||
| DynamicCanal.lean | ||
| E8Sidon.lean | ||
| FixedPoint.lean | ||
| GoormaghtighEnumeration.lean | ||
| HachimojiBase.lean | ||
| HachimojiBridging.lean | ||
| HachimojiCodec.lean | ||
| HachimojiLUT.lean | ||
| HachimojiManifoldAxiom.lean | ||
| HopfFibration.lean | ||
| InteractionGraphSidon.lean | ||
| Q16_16Numerics.lean | ||
| SidonSets.lean | ||
| SieveLemmas.lean | ||
| Tactics.lean | ||