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noncommutative-geometry

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Adèlic spectral frameworks for computational number theory: exploring exact discrete bounds for pattern avoidance via CP-SAT, and quantum-physical realizations of automorphic L-function zeros.

  • Updated Jun 7, 2026
  • Python

Official repo for "The Genesis of e from Modular Substrate Theory". Certifies exact algebraic identities linking e, ln 2, and ζ(0) = -1/2 with Lean 4 (0 sorries). Features a high-precision Python suite showing robust D₆ dihedral phase quantization over 10,000 non-trivial Riemann zeros with extreme statistical significance (p ≈ 10⁻⁸³).

  • Updated Jul 16, 2026
  • TeX

GCFT (General Cognitive Field Theory): A rigorous mathematical meta-theory deriving why self-referential cognitive systems must be quantum. Five-volume manuscript + verification code + epistemological reflection on the inevitability of information loss across truncation towers.

  • Updated Jul 18, 2026
  • Python

GeoVac (the Geometric Vacuum): structurally sparse qubit Hamiltonians from spectral graph theory — O(Q^2.5) Pauli scaling, 51×–1712× vs Gaussian baselines, 38 molecules. Also a discrete almost-commutative spectral triple (Marcolli–van Suijlekom lineage) with proven Gromov–Hausdorff propinquity convergence.

  • Updated Jul 10, 2026
  • Python

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