The Geometry of the Primordial Mass-Time Torsional Potential: A Pre-Geometric Fiber Bundle Formulation of G-MaTT version 1

Abstract We present a rigorous differential-geometric foundation for Generalized Mass as Twisted Time (G-MaTT) by modeling the primordial mass-time torsional potential $\mathcal{M}_\mu$ as a connection 1-form on a principal fiber bundle over a pre-geometric base space $\chi$. Crucially, $\mathcal{M}_\mu$ is not a field in spacetime—it is the dimensionless source from which both mass and time emerge. In this framework, spacetime, particles, and quantum behavior arise from the self-organization and symmetry breaking of this potential. The total space $P$ encodes phase-coherent time branches, the structure group $G = U(1) \times SU(2)$ generates electromagnetism and spin, and the connection $\mathcal{M}_\mu$ sources mass via its curvature. We show that: 3+1 spacetime arises from spontaneous breaking of $G$ to $SO(3,1)$,Quantum mechanics emerges as the $L^2$-geometry of bundle sections,The Einstein–Cartan limit is recovered in the infrared,All G-MaTT predictions (neutron phase shift, MQT threshold, etc.) are geometrically encoded. This work provides the mathematical capstone of the G-MaTT program, transforming it from a physical hypothesis into a rigorous geometric theory grounded in the unity of mass and time.