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fine-structure-constant

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Official repository for the Modular Substrate Theory (MST). Unifying alpha, H0, e, and zeta(0) via a Z/6Z substrate. Featuring 110-digit precision audits, a 10^-14 exact derivation of the fine-structure constant, and the resolution of the Hubble tension.

  • Updated May 22, 2026
  • TeX

Official repo for the paper: "The Emergence of Geometry". Analytical derivation and 150-digit validation of the identity linking ζ(0), ln 2, and the emergence of spatial geometry within the Z/6Z modular substrate.

  • Updated Feb 20, 2026
  • TeX
ppm-framework

Computational companion to Projective Process Monism. Derives Standard Model parameters and cosmological constants from CP³/RP³ topology + one empirical anchor (m_π). Sliders, fixed-comparison falsification tests, and a live active-inference demo let you test the framework. Companion notebook walks every derivation.

  • Updated May 9, 2026
  • Python

Geometric-Electromagnetic Model (GEM): A topological reformulation of the quantum vacuum as a Riemann-Cartan manifold with icosahedral substructure. Includes the published paper (DOI: 10.5281/zenodo.21268209), foundational documents, and experimental protocols.

  • Updated Jul 12, 2026
  • TeX

Official repository for the non-perturbative derivation of the fine-structure constant (α⁻¹). A parameter-free spectral action model matching CODATA 2022 within 1.5 × 10⁻¹⁴. Features the complete Python validation suite (Monte Carlo LEE audit, PSLQ, SciPy RG flow) and mechanized mathematical proofs certified in Lean 4.

  • Updated Jul 15, 2026
  • Jupyter Notebook

The complete theory of everything with ZERO free parameters and zero axioms: every fundamental constant derived and machine-verified from one fold. 1/α exact (0.009σ), all 8 nuclear magic numbers, Σmν=0.0583 eV pre-registered, dark matter identified, element 126 predicted. Reproduce: make -C verify prove

  • Updated Jul 15, 2026
  • C

58 fundamental constants derived from E₈ → H₄ icosahedral geometry with zero free parameters — includes a self-sustaining solver and falsifiable predictions.

  • Updated Apr 5, 2026
  • Python

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