The H1 Cascade: The Speed of Light as Hydrogen’s Mass Architecture

We demonstrate that the Sun-Earth mass ratio (∼333,000:1) can be derived from three atomic-scale constants with no free parameters: the proton-electron mass ratio (µ = 1836.15), the inverse fine structure constant (α−1 = 137.036), and a phase correction factor of 4/3 derived from the materialization ratio r = 1.5 of the Findlay Framework (Findlay 2026a). The product µ × α−1 × 4/3 = 335,376 aligns with the observed Sun-Earth mass ratio of 333,054 to within 0.70% before geometric correction. When the Obliquity Correction is applied—accounting for Earth’s axial tilt as a non-ideal H1 echo, using the quarter-point theoretical obliquity of 22.5◦ and the framework’s nesting operator α−1—the corrected prediction of 333,075 matches the observed ratio to 99.994% accuracy. We further show that the top quark-electron mass ratio (∼338,000:1) mirrors the Sun-Earth ratio to within 1.5%, and that the framework predicts a top quark mass of 170.19 GeV—within the current experimental uncertainty of 172.76 ± 0.30 GeV (Particle Data Group 2024). These alignments suggest that the same geometric operator governs mass hierarchies across 42 orders of magnitude.