A Suggested Answer To Wallstrom's Criticism: Zitterbewegung Stochastic Mechanics II

TL;DR

This paper extends zitterbewegung stochastic mechanics to many particles, addressing Wallstrom's criticism, and compares its approach and plausibility with other solutions in quantum foundations.

Contribution

It develops a many-particle formulation of ZSM based on Nelson-Yasue stochastic mechanics and the classical zbw model, clarifying beables and assessing the hypothesis's plausibility.

Findings

ZSM formulated for multiple particles with interactions

Explicit beables for many-particle ZSM provided

Comparison with other approaches to Wallstrom's criticism

Abstract

The "zitterbewegung stochastic mechanics" (ZSM) answer to Wallstrom's criticism, introduced in the companion paper [1], is extended to many particles. We first formulate the many-particle generalization of Nelson-Yasue stochastic mechanics (NYSM), incorporating external and classical interaction potentials. Then we formulate the many-particle generalization of the classical zitterbewegung \emph{zbw} model introduced in Part I, for the cases of free particles, particles interacting with external fields, and classically interacting particles. On the basis of these developments, ZSM is constructed for classically free particles, as well as for particles interacting both with external fields and through inter-particle scalar potentials. Throughout, the beables of ZSM (based on the many-particle formulation) are made explicit. Subsequently, we assess the plausibility and generalizability of the\emph{zbw} hypothesis. We close with an appraisal of other proposed answers, and compare them to ZSM.