Gauge Structure, Fiber Bundles, and Interaction Fields as Extensions of a Unified Physical Framework

This paper develops a structural framework for introducing gauge fields and interaction structure as explicit geometric extensions of a unified physical theory. Gauge redundancy is formalized through principal bundles, associated fields, connections, and curvature, with a clear distinction drawn between gauge symmetries and physical observables. The framework establishes consistency criteria based on admissibility, constraint preservation, locality compatibility, and anomaly control, and recovers standard gauge-theoretic constructions as disciplined special cases within a unified setting.