Coupled wave-particle dynamics as the ontology behind Quantum Mechanics and long-range interactions

We develop a Lorentz-covariant theory for the mutual interaction of a wave and a particle. The Bohm-de Broglie "pilot wave" prescription for the guidance of a particle by a wave, is supplemented by prescribing how a particle generates a wave. The natural ensemble of "self-guided" particles is shown to reproduce the statistics of Quantum Mechanics. The dynamics governing the motion of each member in this ensemble, though, has an intrinsic physical content that does not depend on the particular statistical context of a Quantum Mechanical experiment, and in particular, constitutes a novel language for modelling long range interactions