Unified Fractal-Stochastic Model (MFSU) – Version 2: Experimental Validation of the Franco Constant δₓ = 0.921

We present Version 2 of the Unified Fractal-Stochastic Model (MFSU), incorporating the experimental validation of the Franco constant δF=0.921\delta_F = 0.921δF=0.921, a fundamental fractal dimension emerging from variational, renormalization, and percolation theory principles. This value is shown to unify diverse physical phenomena across five domains: CMB cosmology, gas diffusion, high-temperature superconductivity, quantum confinement, and large-scale cosmic structure. Multiple mathematical derivations and simulation-based results confirm its universality. The document includes detailed methodology, numerical results, and cross-comparisons with classical models, providing a strong foundation for future experimental and theoretical applications of MFSU.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-07-20
DOI
https://doi.org/10.5281/zenodo.16189942
Primary Topic
Statistical Mechanics and Entropy
Type
article
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article

Unified Fractal-Stochastic Model (MFSU) – Version 2: Experimental Validation of the Franco Constant δₓ = 0.921

Zenodo (CERN European Organization for Nuclear Research)
Statistical Mechanics and Entropy
article

Unified Fractal-Stochastic Model (MFSU) – Version 2: Experimental Validation of the Franco Constant δₓ = 0.921

article en

Abstract

We present Version 2 of the Unified Fractal-Stochastic Model (MFSU), incorporating the experimental validation of the Franco constant δF=0.921\delta_F = 0.921δF=0.921, a fundamental fractal dimension emerging from variational, renormalization, and percolation theory principles. This value is shown to unify diverse physical phenomena across five domains: CMB cosmology, gas diffusion, high-temperature superconductivity, quantum confinement, and large-scale cosmic structure. Multiple mathematical derivations and simulation-based results confirm its universality. The document includes detailed methodology, numerical results, and cross-comparisons with classical models, providing a strong foundation for future experimental and theoretical applications of MFSU.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 65%
Statistical Mechanics and Entropy
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