BT-PEC Primordial Theory: A Framework for Unifying Fields via Tripartite Coupling and Topological Emergence

This paper proposes the BT-PEC (Berry-Topology Phase Embedding Carrier) primordial theory—an axiomatic framework built on tripartite coupled operators. Taking high-dimensional topological homology structures as the fundamental ontology of the universe, this theory treats quantum dynamics, classical mechanics, electromagnetic field evolution and spacetime gravitational effects as emergent behaviors of topological systems under different energy scales and phase thresholds. Six self-consistent fundamental axioms and auxiliary postulates are established. Two-phase topological decoherence dynamics are constructed, cross-scale derivations from quantum to classical regimes are completed, modified topological gravitational field equations are formulated, and a dedicated topological entropy measurement system is built. Multiple qualitative physical laws and high-precision falsifiable experimental predictions are presented, resolving core defects including the fragmentation of conventional physical frameworks, phenomenological decoherence mechanisms and insufficient testability of unified field theories. The manuscript maintains consistent dimensional analysis, complete algebraic derivation and closed logical loops, serving as a novel theoretical proposal for the unified framework of fundamental physics.