BT-PEC Triadic Coupled Ontological Topological Dynamics Theory — A Cosmic Critical Emergence Gauge Symmetry Model Based on S-Y-O Ontological Axioms (Complete Revised Edition)

This work presents the BT-PEC Triadic Coupled Ontological Topological Dynamics Theory — A Cosmic Critical Emergence Gauge Symmetry Model Based on S-Y-O Ontological Axioms. BT stands for Bond-Telos organizational force operator, and PEC denotes the Path-Entropy-Causal constraint-entropy production functional. Based on S-Y-O ontological axioms, it maps to obtain the organizational force operator B, topological evolution tensor T, and dissipative functional PEC, constructing a representation-invariant order parameter Ω to partition the system into three phases. The theory further proposes a "single anchor point-dual vision" unification mechanism: the macroscopic world exhibits continuous evolution with gradual, breakpoint-free variation, while the microscopic world exhibits discrete events such as discrete transitions, topological phase transitions, and decoherence. The two are unified through the switching of dominant terms in Ω dynamics at different scales. Relying on a critical manifold emergence mechanism to resolve the Margulis superrigidity contradiction, the standard model gauge symmetry is regarded as an emergent effect of critical steady states. This theory establishes thirty-four hierarchically falsifiable predictions, designs a high-precision simulation protocol, and provides a quantitative scaling parameter η = tr(PEC)/tr(BT) for the macroscopic-continuous/microscopic-discrete unification, offering new ideas for a unified framework of fundamental physics.