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mpmath

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Certified first 1,000 nontrivial zeros of the Riemann zeta function using a dual-evaluator (mpmath ζ + η‐series) contour method with strict Krawczyk isolation and automatic refinement.

  • Updated Nov 20, 2025
  • Python

Solução robusta para o Método dos Mínimos Quadrados em Python. Projetada para ajustar polinômios de grau alto (10+) sem divergência. Integra aritmética de precisão infinita, correção automática para falta de dados e estabilização de matrizes mal-condicionadas. Ideal para modelagem matemática onde o NumPy padrão falha por erros de arredondamento.

  • Updated Nov 27, 2025
  • Jupyter Notebook

First-principles derivation of the fine-structure constant (α⁻¹) via Modular Information Thermodynamics (ℤ/6ℤ). Includes Python validation code demonstrating 10⁻¹⁴ precision against CODATA 2022, effectively eliminating alpha as a free parameter.

  • Updated Feb 19, 2026
  • Jupyter Notebook

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

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 Feb 18, 2026
  • TeX

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