Modified Bohms Dynamics: A Stable Version

TL;DR

This paper introduces a modified Bohm's dynamics that stabilizes quantum equilibrium and allows for potential deviations from standard quantum mechanics during early universe conditions.

Contribution

It proposes a natural modification to Bohm's quantum force that ensures stability of quantum equilibrium without altering equilibrium predictions.

Findings

Achieves stable quantum equilibrium in Bohm's model

Demonstrates relaxation to equilibrium via a coarse-grained H-theorem

Predicts possible deviations from standard quantum mechanics in early universe scenarios

Abstract

Recently, it has been shown that the quantum equilibrium distribution in the original Bohm's model is unstable and so it isn't a tenable physical theory [Proc. R. Soc. A 470 20140288 (2014)]. In this paper we show that a natural modification of the Bohm's quantum force leads to a stable quantum equilibrium without any change to statistical predictions of this model in equilibrium state. Moreover, it is shown that an initial non-equilibrium phase space distribution relaxes to equilibrium distribution via a coarse grained H-theorem. But before end of the relaxation process, for example in the early universe, this modified quantum force can lead to the new predictions beyond standard quantum mechanics.