FEMMΦ V6: Cosmological Implications of a Fractal Superfluid Vacuum: Addressing Hubble and JWST Anomalies via Impedance Dynamics

Current cosmological observations under the CDM framework exhibit significant discrepancies, specifically the Hubble tension and the unexpected structural maturity of high-redshift galaxies (z > 10). This paper formalizes the FEMM V6 robust hypothesis, a framework that models the vacuum as a fractal superfluid lattice (D=3. 98) governed by a Fundamental Field Coherence Frequency (FFCF) of 14. 5 nHz. We provide the analytical derivation of the gravitational constant G and the speed of light c based on the packing density of bosons. The hypothesis was rigorously tested against empirical datasets from multiple international consortia, including Planck (CMB), SH0ES, CODATA, and NANOGrav 15-year stochastic background, demonstrating superior convergence in reconciling local and primordial measurements. Our results show that a phase transition in lattice stiffness (K) accounts for the evolution of the speed of light (c 70, 311 km/s at z 25), resolving the galaxy maturity paradox through a fractal time dilation of 4. 26. This evidence suggests that observed cosmological tensions are emergent phenomena of vacuum impedance evolution, providing a unified ontological basis for the fundamental constants.