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.

Version 4.0 presents a consolidated and empirically strengthened formulation of the Unified Fractal-Stochastic Model of the Universe (MFSU), incorporating validated simulations in cosmology, gas dynamics, and superconductivity. This release includes a detailed theoretical derivation, numerical results consistent with Planck CMB data, and a foundational justification for the universal fractal parameter ∂ ≈ 0.921. Our results point to the emergence of fractal space-time structures and critical phenomena across physical systems. The document integrates a refined LaTeX manuscript, visualizations, appendices, and code repositories. It sets the foundation for further experimental validations and invites collaboration to test the MFSU across diverse scientific domains.

This version includes formal responses to critical reviews regarding stochastic formulation, physical interpretation, and numerical consistency. It addresses noise multiplicativity, effective action derivation, and connections to observed data. The model is under active empirical validation in CMB datasets, gas diffusion standards, and superconductive vortex analysis.

⚠️ 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.