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NachoPeinador / Arquitectura-de-Hibridacion-Algoritmica-en-Z-6Z

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Modular Spectrum of Pi: reference implementation of the Stride-6 engine. Unifies Chudnovsky's series with DSP polyphase decomposition in Z/6Z. Validated at 100M digits with 95% parallel efficiency. Features a Shared-Nothing architecture to bypass the memory wall and maximize cache alignment.

hpc dsp parallel-computing arbitrary-precision isomorphism riemann-zeta number-theory numerical-analysis shared-nothing exascale mathematical-physics cache-optimization python-performance big-integers pi-calculation memory-wall chudnovsky-algorithm modular-arithmetics z6z stride-6
  • Updated Feb 6, 2026
  • Jupyter Notebook

NachoPeinador / The-Emergence-of-Geometry

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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.

research physics information-theory mathematics open-science pi cosmology modular-arithmetic riemann-zeta reproducibility theoretical-physics number-theory fine-structure-constant mpmath hubble-tension digital-physics holographic-principle fundamental-constants unification-theory z6z
  • Updated Feb 20, 2026
  • TeX

NachoPeinador / The-Genesis-of-e

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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.

python jupyter-notebook prime-numbers theoretical-physics number-theory fine-structure-constant high-precision mpmath hubble-constant zeta-function cosmology-particle-physics fundamental-physics vacuum-impedance-modulation riemann-hypothesis-collatz-hubble-tension quantum-gravity-cosmology-astrophysics information-theory-cosmology-cifr-pnpi modular-substrate-theory z6z hubble-tension-resolution
  • Updated Feb 18, 2026
  • TeX

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