Modal Triplet Theory: From MTT to Pilot–Wave Dynamics

We derive pilot–wave (de Broglie–Bohm) dynamics as an effective, intra-basin description of Modal Triplet Theory (MTT). Starting from deterministic modal evolution on a higher-dimensional configuration space, coherent projection and observable pushforward induce a Schrödinger evolution, a conserved probability density, and a probability current on configuration space. The characteristic curves of this current coincide with Bohmian guidance equations, without introducing hidden variables, stochastic postulates, or additional ontology. We prove that pilot–wave dynamics are valid only within admissible coherence basins where the coherent projection is stable. At admissibility boundaries, including measurement, horizon formation, and cosmological selection events, pilot–wave trajectories necessarily break down while the underlying modal dynamics remain deterministic. Pilot–wave theory is therefore shown to be a regime-limited shadow of MTT rather than a fundamental alternative to quantum mechanics. This resolves longstanding tensions between determinism, probability, measurement, and relativistic causality in Bohmian mechanics.