The Geometric Foundation of the Proton–Electron Mass Ratio in G-MaTT: A Twistor Volume Approach

Abstract In Generalized Mass as Twisted Time (G-MaTT), masses emerge as geometric invariants from phase-diffusion operators on compact manifolds in twistor space. We provide a first-principles foundation for the proton–electron mass ratio \( m_p / m_e \approx 1836 \), showing it arises naturally from the ratio of Kähler volumes for baryonic solitons versus leptonic excitations. The leading term derives from the normalized volume of a 5-dimensional phase manifold \(\Sigma_5\), yielding approximately \( 6\pi^5 \approx 1836.118 \), with perturbative corrections from anomaly-free embeddings. This approach emphasizes the geometric structure—twistor embeddings, holonomy, and phase stability—rather than numerical fitting, offering a unified basis for fermion mass hierarchies without adjustable parameters. The close alignment with the observed value supports G-MaTT's core premise: particle masses are eigenvalues of topological phase geometries.