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

I was really looking forward to finishing with Version 8 —the lying infinity version again— like in the first metaphysical preprint I wrote based on my intuitions, to make it even more numerological, but there were errors in the tables. Excuse the less-than-academic tone, but I know I'll never get beyond the crackpot level. We present the results of a systematic forensic investigation into the Hubble Tension. Starting from the 4–6σ discrepancy between local (H₀ ≈ 73) and CMB (H₀ ≈ 67.4) measurements, we follow a strictly data-driven path through three generations of models: (i) a linear logarithmic correction γ · ln(1+z), which provided the first signal (ΔBIC = −6.2);(ii) a quadratic form γ₀ · [ln(1+z)]², which exploded in significance (ΔBIC ≈ −739) but predicted an unphysical CMB;(iii) the final two-component LOG²-Decay model: Δμ(z) = A·e^(-z/z_b) + γ₀·[ln(1+z)]²·e^(-z/z_h) which achieves ΔBIC ≈ −735 against ΛCDM using 4,007 cosmological probes (Pantheon+ SNe Ia, Quasars, Cosmic Chronometers), naturally alleviates the Hubble Tension (H₀_local = 73.05 from H₀_cosmo = 67.4), and preserves CMB compatibility. Under the Möbius-Kerr hypothesis, the logarithmic component implies a Container Black Hole with spin a/M ≈ 0.70.