Universal Dimensional Reduction Law: A Geometric Theory of Cosmic Coherence Decay

This research introduces the Universal Dimensional Reduction Law, a geometric principle formulated within the Unified Stochastic Fractal Model (MFSU). We propose a framework to address critical cosmological tensions, including the Hubble discrepancy and the premature formation of massive galaxies observed by JWST.

By modeling spacetime as a porous fractal medium with a Hausdorff dimension Df≈2.079, we derive an intrinsic topological impedance of χ=5.85 and a tortuosity factor of τ=2.22. These parameters govern a systematic coherence decay from a primordial seed of δF=0.921. The model successfully reproduces flat galactic rotation curves (SPARC catalog) and provides a parameter-free explanation for variations in gravitational wave events (LIGO/Virgo).

Key Contributions:

• Derivation of the 0.921 primordial coherence constant.

• Elimination of free-parameter dependency for dark matter-like effects.

• Algorithmic implementation of the Stabilizer Quaternion for gauge invariance.

• Compatibility with upcoming Euclid DR1 (2025) observations.