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

Current cosmological observations under the $\Lambda$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$\Phi$ 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 $\Phi$ 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 ($c \approx 70,311$ km/s at $z \approx 25$), resolving the galaxy maturity paradox through a fractal time dilation of $4.26\times$. This evidence suggests that observed cosmological tensions are emergent phenomena of vacuum impedance evolution, providing a unified ontological basis for the fundamental constants.