Unified Stochastic Fractal Model (MFSU): A Framework for Complex Systems in Physics and Cosmology

Description

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.

Abstract (En)

Español:

Esta es la versión 3 del Modelo Fractal Estocástico Unificado (MFSU), que presenta la derivación final de la constante fractal universal δF ≈ 0.921, junto con validación experimental rigurosa en dominios como cosmología (CMB), difusión anómala de gases y superconductividad de alta temperatura. Se incluye un marco matemático formal, simulaciones reproducibles, comparación con modelos estándar y un análisis estadístico exhaustivo que refuerza la solidez del modelo. Esta versión consolida la propuesta unificadora del MFSU como nuevo paradigma físico basado en geometría fractal y procesos estocásticos.

English:

This is version 3 of the Unified Fractal-Stochastic Model (MFSU), presenting the final derivation of the universal fractal constant δF ≈ 0.921, with rigorous experimental validation in domains such as cosmology (CMB), anomalous gas diffusion, and high-temperature superconductivity. It includes a formal mathematical framework, reproducible simulations, comparison with standard models, and robust statistical analysis, consolidating the MFSU as a unifying physical paradigm based on fractal geometry and stochastic processes.