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Published July 17, 2025 | Version 2.0
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Unified Stochastic Fractal Model (MFSU): A Framework for Complex Systems in Physics and Cosmology

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Description

The Unified Stochastic Fractal Model (MFSU) integrates fractal geometry, stochastic processes, and quantum field theory to model complex systems in superconductivity, gas dynamics, and cosmology. This resource includes a comprehensive document detailing the MFSU’s original and refined formulations (using a Wigner function with a fractal Laplacian), derivations, and applications to real datasets: \texttt{RvT_300K.csv} (superconductivity), \texttt{Gas_Dynamics.py} (gas dynamics), and \texttt{Cosmo_Simulation.ipynb} (cosmology). The dataset contains 1000 data points in CSV format, and the Python-based Monte Carlo simulation code (\texttt{MFSU_Simulation.py}, \texttt{MFSU_Wigner.py}) is available at https://github.com/MiguelAngelFrancoLeon/MiguelAngelFrancoLeon-MFSU-Fractal-Dynamics. MFSU unifies classical and quantum dynamics, fostering interdisciplinary research.
 
 

Abstract (English)

⚠️ This is the validated and corrected version (v2) of the MFSU model. 
It includes the final form of the equation, a complete mathematical derivation, and a comparison with the previous draft.

✅ Please use this version for citation and scientific use.

📘 Note: The derivation file is in English with real peer-reviewed references.

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