Tilted Ruler Theory (TRT): Directional Bias of SH0ES Calibrators and the Hubble Tension — Quantitative Analysis of H₀ Overestimation via f(θ) Luminosity Attenuation and Radial Force Geometry

This study proposes and quantifies the Tilted Ruler Theory (TRT), which posits that directional bias in the SH0ES calibrator sample systematically tilts the measurement ruler, overestimating the Hubble constant. TRT explains a substantial fraction of the Hubble tension (H₀ = 67.4 vs 73.0 km/s/Mpc, 4~6σ discrepancy) without invoking new physics. Two independent mechanisms are quantified. First, 72.7% of SH0ES calibrators (N=77) are concentrated in the θ>90° direction from the GCOD axis (RA=330°), representing 2.2× the cosmological sample rate (33.7%), with extreme statistical significance (p