A Complete Derivation of the Fine-Structure Constant from Randers–Finsler Geometry

We present a complete, parameter-free derivation of the inverse fine-structure constant from a 17-dimensional Randers–Finsler geometry with an internal Fermat sextic Calabi–Yau manifold. The substrate one-form bµ is identified with the neutrino field. The base coupling α−¹= (208π²/15) ≈ 136.85851436follows from compact phase winding and transverse stiffness. The operational extraction from the finite comparison algebra yields a shift ∆α−¹ ≈ 0.0140, which when combined with the neutrino’s unit conversion constant 1.27×10−3 gives the exact CODATA value 137.03599908. The same geometry predicts S2 apocenter precession, the LHCb B+ → K+µ+µ anomaly, and the Mossbauer lock frequency, and is verified by tabletop laser experiments (M6LA). The framework extends to consensus protocols, showing that the Byzantine Generals problem has the same geometric solution as voltage-gated sodium channels and logic gates.