FEMMΦ V6: Ontology of the Fractal Lattice and Cosmic Impedance Transition - A Robust Hypothesis for Resolving Hubble and JWST Tensions

Current cosmological observations under the ΛCDM framework exhibit significant discrepancies, specifically the Hubble tension and the unexpected structural maturity of high-redshift galaxies ($z > 10$). This paper formalizes the FEMMΦ 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 Φ 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.