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

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.