Implications of a deeper level explanation of the deBroglie-Bohm version of quantum mechanics

TL;DR

This paper proposes a deeper, emergent explanation of deBroglie-Bohm quantum mechanics using hydrodynamic analogies, showing how classical-like dynamics in real space can reproduce quantum guiding equations.

Contribution

It introduces a novel emergent, superclassical model that reproduces deBroglie-Bohm dynamics in real space, challenging the traditional configuration-space formulation.

Findings

The forces on particles in the model match those in dBB theory.

The model replaces the configuration-space approach with real-space dynamics.

Emergent velocity fields align with Bohmian guiding equations.

Abstract

Elements of a "deeper level" explanation of the deBroglie-Bohm (dBB) version of quantum mechanics are presented. Our explanation is based on an analogy of quantum wave-particle duality with bouncing droplets in an oscillating medium, the latter being identified as the vacuum's zero-point field. A hydrodynamic analogy of a similar type has recently come under criticism by Richardson et al., because despite striking similarities at a phenomenological level the governing equations related to the force on the particle are evidently different for the hydrodynamic and the quantum descriptions, respectively. However, said differences are not relevant if a radically different use of said analogy is being made, thereby essentially referring to emergent processes in our model. If the latter are taken into account, one can show that the forces on the particles are identical in both the dBB and our model. In particular, this identity results from an exact matching of our emergent velocity field with the Bohmian "guiding equation". One thus arrives at an explanation involving a deeper, i.e. subquantum, level of the dBB version of quantum mechanics. We show in particular how the classically-local approach of the usual hydrodynamical modeling can be overcome and how, as a consequence, the configuration-space version of dBB theory for $N$ particles can be completely substituted by a "superclassical" emergent dynamics of $N$ particles in real 3-dimensional space.