Topological Horizon Lensing and the Hubble Tension: γCDM Correction to Cosmological Distances

We report strong statistical evidence (ΔBIC = −6.2) for a phenomenological correction to the ΛCDM luminosity distance relation. Using 1,610 cosmological probes (Pantheon+ SNe Ia, Cosmic Chronometers), we find: μ(z) = μΛCDM(z) + γ·ln(1+z) with γ = −0.219 ± 0.03 Critically, this correction affects luminosity distances but not the expansion rate H(z), suggesting a propagation effect rather than modified dynamics. The signal is isotropic (p = 0.60) and stable across redshift (p = 0.15). We interpret this within the Möbius-Kerr hypothesis: the observable universe is the conformally inverted interior of a rotating black hole. Under this framework, γ = −(5/ln10)·r₋/r₊, where r± are the Kerr horizons. Our measured γ predicts a Mother Black Hole spin of a/M ≈ 0.58. A speculative extension, the Pure-γ relation yields a MOND-scale acceleration a₀ = |γ|·c·H₀ ≈ 1.5 × 10⁻¹⁰ m/s², within 30% of the empirical value, suggesting a posible geometric unification of the Dark Sector.