Unified Phase-Geometric Theory (UPGT): Foundations

This paper presents a unified physical framework based on SU(2) phase geometry on a compact three-sphere.
It shows how quantum, relativistic, and classical physics emerge from the curvature and dynamics of a single phase field.
The model reproduces electromagnetic and gravitational behavior as geometric limits and forms the foundation for atomic, nuclear, and cosmological extensions.

This work belongs to the field of theoretical and mathematical physics, focusing on unified geometric models based on SU(2) phase dynamics on the 3-sphere.

Related works:
 - Atom (DOI: 10.5281/zenodo.17369516)
 - Cosmology (DOI: 10.5281/zenodo.17401164)
 - Electricity, Conductivity, and Superconductivity (DOI: 10.5281/zenodo.17978816)

v2 comment: Minor fixes; a small but important error in typesetting has been corrected. No conceptual changes were made.