Predictive Derivation of Particle Masses, Generation Structure, and CP Violation from Unified Curvature Field Theory

This study presents a predictive framework for particle masses, generational hierarchy, and CP violation, derived from the Unified Curvature Field Theory, which is itself founded on the Constructive Principle rooted in the Principle of Existence: “That which exists is that which takes form.” By treating curvature as a quantized field excitation defined by topological mode numbers, we derive a spectrum of physical masses for known particles—including neutrinos, gauge bosons, and the Higgs boson—with sub-percent level agreement using only a single scaling parameter. Furthermore, the theory naturally reproduces the observed three-generation structure, as well as a mechanism for CP violation emerging from asymmetric curvature excitation modes. These results are obtained without invoking symmetry breaking or extraneous parameters, relying instead on the topological and variational structure encoded in the curvature field. The approach provides not only numerical predictions but also a coherent physical picture that unifies mass, generation, and interaction structures within a single geometric framework. This work represents a significant extension of the previously proposed Unified Curvature Field Theory, demonstrating its explanatory and predictive power over a wider range of fundamental phenomena.