PDT-III: Differential Transport, Collapse Dynamics, and the Coherence Horizon

PDT-III develops the dynamical consequences of finite coherence capacity (Axiom 0) introduced in PDT-I. The compact transport potential of PTG-2 induces a gradient-flow dynamical system on the minimal phase manifold ($S^{1}$)^6, and the curvature operator generates a loading accumulation that grows along the flow. When the total loading exceeds the coherence capacity $C_{max}$, the system undergoes coherence collapse. PDT-III formalises this behaviour, defines the coherence horizon, and shows that the collapse time is a stopping time determined entirely by the transport dynamics together with finite coherence capacity. Existence and uniqueness of solutions to the differential transport system are established in PDT-MC-1.