Topological Bundle Restructuring in Sub-Planckian Matrix Spacetime: Absolute Muon Mass, Vacuum Interaction, and the g-2 Anomaly

Abstract:

The Standard Model of particle physics treats particle masses as free parameters fitted to experimental data, leaving the lepton mass hierarchy unresolved. Furthermore, recent precision measurements of the muon anomalous magnetic moment (g-2) exhibit a persistent tension with Standard Model predictions. We present a rigorous first-principles derivation of the absolute muon mass within the Generalized Multi-Parameter Spacetime (GMPS) framework. Adopting a property-ontology postulate, we model particles as stable topological configurations of a dense sub-Planckian matrix of Yang-Mills gauge bundles. We propose that the classical empty vacuum is an emergent macroscopic approximation of this underlying bundle matrix. By integrating the bundle intersection density over the localized core volume, the spatial scale cancels out algebraically, linking the mass directly to the fundamental node energy capacity. We demonstrate that mathematical stability requires a scaling exponent consistent with the Riemann critical line condition (gamma = 5/2), yielding a purely geometric mass formula. Muon decay is interpreted as a structural phase transition interacting with the vacuum matrix, ejecting free SU(2) bundles (neutrinos). Finally, we qualitatively explore how matrix processing latency might offer a natural geometric mechanism to account for the muon g-2 anomaly.