De Broglie's wave particle duality in the stochastic interpretation of quantum mechanics: A testable physical assumption

Abstract

If one starts from de Broglie's basic relativistic assumptions, i.e., that all particles have an intrinsic real internal vibration in their rest frame, i.e., hv ₀ =m ₀ c²; that when they are at any one point in space-time the phase of this vibration cannot depend on the choice of the reference frame, then, one can show (following Mackinnon⁽¹⁾) that there exists a nondispersive wave packet of de Broglie's waves which can be assimilated to the nonlinear soliton wave U ₀ introduced by him in his double solution model of wave mechanics.⁽²⁾ Since de Broglie's linear pilot waves can be considered to be real waves propagating as collective motions on a covariant subquantum chaotic “aether,”⁽³⁾ these new solition waves can be considered as describing the particle's immediate neighborhood, i.e., the aether's reaction to the particle's motion in the stochastic interpretation of quantum mechanics. The existence of such a physical aether (which provides a perfectly causal interpretation of the action-a-distance implied by the Einstein-Podolsky-Rosen experiments) can now be proved by establishing the reality of de Broglie's waves in realizable experiments.