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212cfa7460
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docs(repair): adversarial review repairs — retract 5 claims, refactor
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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2026-06-30 20:12:47 -05:00 |
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