A Geometric Resolution to the Hubble Tension via Optical Path Dilation in a Frustrated Tetrahedral Lattice

The “Hubble Tension” refers to the statistically significant discrepancy between the expansionrate of the universe measured via the Cosmic Microwave Background (CMB) (67.4 ± 0.5 km/s/Mpc)and local distance ladder measurements from JWST/SH0ES (73.49 ± 0.93 km/s/Mpc). This paperproposes a definitive resolution via the Fibonacci-Tetrahedral Lattice (FTL) model. We demon-strate that this tension is an optical artifact caused by treating spacetime as a perfectly symmetric,continuous Euclidean manifold rather than a discrete, frustrated tetrahedral quasicrystal. By com-paring the maximal symmetric packing efficiency of a continuum (ηsym ≈ 0.740) against the physicalpacking limit of a frustrated tetrahedral vacuum (ηFTL ≈ 0.679), we derive a strict geometric refrac-tive index of κ ≈ 1.0905. We establish that while the angular acoustic scale of the CMB measuresthe true bulk thermodynamic expansion of the manifold, local photometric standard candles aresubject to optical path dilation as photons navigate the discrete lattice bonds. Applying this ge-ometric attenuation to the CMB baseline perfectly outputs the observed local JWST expansionrate (67.4 × 1.0905 = 73.49 km/s/Mpc), fully resolving the cosmological crisis from first principleswithout the requirement for phantom fields, early dark energy, or modified gravity.