Regime Dynamics Coherence Geometry, Admissible Flows and Quantum Analogues in Basic Ontodynamics

Basic Ontodynamics describes physical reality as a hierarchy of interacting process regimes. Objects arise through coherent activation (CoAct) when regime configurations exceed a coherence threshold and exhaust admissible transverse generators. The present work develops the dynamical continuation of this framework. Instead of postulating a single fundamental equation, we derive a structural class of admissible regime flows constrained by the principle of constitutive unattainability. We show that the coherence norm induces a natural geometry on the regime manifold closely related to the Fubini–Study geometry of quantum state space. Phase evolution of regime amplitudes admits an equation structurally analogous to the Schrödinger equation. When regime amplitudes are organized into paired chiral structures the evolution acquires a first-order relativistic form analogous tothe Dirac equation. Furthermore, collective phase fields generated by interacting regimes lead to dynamical equations structurally similar to Maxwell equations. These results suggest that quantum and relativistic structures may arise from coherence geometry of interacting regimes.