Unified Fractal-Stochastic Model (MFSU): A Geometric Theory of the Universe where Dark Matter is a Fractal Support

The Unified Fractal-Stochastic Model (MFSU) proposes a radically geometric origin of the universe. Instead of assuming dark matter as exotic particles, MFSU defines it as an invisible fractal support that stabilizes all structure. A universal fractal constant $\delta_F \approx 0.921$ governs expansion and structure formation through a process of stochastic branching. This model explains anomalies like flat galactic rotation curves and early massive galaxies seen by JWST—without invoking particles or inflation. This document includes full derivations, Python simulations, predictions, and validation comparisons with $\Lambda$CDM.