Published July 7, 2025
| Version 1.o
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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.
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MFSU_Theory.pdf
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(220.8 kB)
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Additional details
Software
- Repository URL
- https://github.com/MiguelAngelFrancoLeon/MiguelAngelFrancoLeon-MFSU-Fractal-Dynamics
- Programming language
- Python , Jupyter Notebook