Universal Dimensional Reduction Law: δ_F ≈ 0.921 (MFSU 1- Legend Equation)

We report the empirical identification of the universal dimensional reduction constant δF = 0.921 ± 0.003, derived from multifractal analysis of the Cosmic Microwave Background (Planck 2018/2020). This parameter suggests a quantitative approach to unification of dimensional scaling across three independent scales:

1. 2D CMB topology (D ≈ 2.08)

2. 3D galaxy distribution (D ≈ 3.08)

3. 4D inflationary perturbations (D ≈ 4.08)

Our framework offers a parsimonious geometric alternative to the dark matter particle hypothesis, yielding a 63% error reduction in SPARC rotation curves (NGC 3198) using the universal δF without galaxy-specific parameters. These findings suggest a geometric alternative to the standard ΛCDM framework, with testable predictions for Euclid and LISA missions. Independent re-analysis of Planck and SPARC datasets by the broader cosmological community will be essential to confirm the universality and scale-invariance of δF. 

Notes:  "This work presents Version 2.0 of the Universal Dimensional Reduction Law, including addressable tensions with DESI constraints and empirical validation via SPARC datasets."