Published July 17, 2025
| Version 2.0
Publication
Open
Unified Stochastic Fractal Model (MFSU): A Framework for Complex Systems in Physics and Cosmology
Authors/Creators
Contributors
Project leader:
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.
Files
validatemfsu.pdf
Files
(161.7 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:20a37db5291bd39a0001cc05e9994e60
|
161.7 kB | Preview Download |
Additional details
Software
- Repository URL
- https://github.com/MiguelAngelFrancoLeon/MiguelAngelFrancoLeon-MFSU-Fractal-Dynamics
- Programming language
- Python , Jupyter Notebook
- Development Status
- Active