Geometric Derivation of Particle Mass from Geodesic Deviation in General Relativity

We derive the masses of elementary particles and the observed three-generation structure from topological excitations in the Unified Curvature Field Theory (UCFT), without any fitting parameters or symmetry assumptions. Mass appears as the geometric energy cost of deviation from geodesics defined by a unified connection. The resulting mass formula naturally reproduces all particle masses—including neutrinos and the graviton—with remarkable precision, and predicts the termination of generations and the value of the cosmological constant from the same curvature structure.