Vacuum-Structure and a Relativistic Pilot Wave

TL;DR

This paper explores how violations of Lorentz invariance affect vacuum structure, modeling particle ensembles with divergence theory and linking them to relativistic pilot waves and quantum potentials.

Contribution

It introduces a model using divergence theory to analyze Lorentz-invariance violation effects on vacuum and connects particle ensembles to pilot wave dynamics.

Findings

Ensemble particles are at rest in a preferred frame.

The model links vacuum structure to relativistic pilot waves.

Interaction with quantum potential explains particle-ensemble dynamics.

Abstract

We study a model for analyzing the effect of a principal violation of the Lorentz-invariance on the structure of vacuum. The model is based on the divergence theory developed by Salehi (1997). It is shown that the divergence theory can be used to model an ensemble of particles. The ensemble is characterized by the condition that its members are basically at rest in the rest frame of a preferred inertial observer in vacuum. In this way we find a direct dynamical interplay between a particle and its associated ensemble. We show that this effect can be understood in terms of the interaction of a particle with a relativistic pilot wave through an associated quantum potential.