Phase-Connection Geometry and Non-Abelian Time Transport: A Curvature-Based Mechanism for Classicalization and Phase Dynamics

Abstract We introduce a phase-geometric framework in which time evolution is governed by a covariant derivative defined over a multi-carrier phase space. The associated connection induces a non-abelian curvature whose holonomy generates measurable phase-transport effects. Within this unified geometric setting, the quantum–classical transition, phase-channel mixing, and time-transport anomalies arise from a single underlying mechanism. In contrast to conventional approaches, where gauge structures are imposed externally, the connection emerges intrinsically from the phase geometry itself. The framework yields calculable thresholds for classicalization and leads to novel, testable predictions based on curvature-induced phase holonomy.