Topological Phase Shifts in Cosmic Expansion: A Geometric Resolution to the Hubble Tension

The Hubble tension — a persistent 4–6σ discrepancy between early-universe (CMB) and late-universe (distance ladder) measurements of the Hubble constant — has resisted resolution for over a decade. This paper presents a single equation that resolves the discrepancy to 0.016% precision: Hlate=Hearly×ϕ1/6, where ϕ=(1+5)/2 is the golden ratio. Applied to the Planck 2018 measurement (H0=67.4±0.5 km/s/Mpc), this yields Hlate=73.028 km/s/Mpc, compared to the SH0ES measurement of 73.04±1.04 km/s/Mpc — a residual of 0.012 km/s/Mpc, two orders of magnitude below either measurement’s uncertainty. This relationship emerges from a recently reported ϕ-harmonic geometric operator that constrains physical observables across 12 orders of magnitude in energy scale, from particle mass ratios to protein helix periodicities (Weldon, 2026; DOI: 10.5281/zenodo.19057324). The Hubble tension is not a measurement error. It is a discrete, topological phase shift between two ϕ-harmonic fixed points of cosmic geometry.