On the gravitization of quantum mechanics and wave function reduction in Bohmian quantum mechanics

TL;DR

This paper explores gravity-induced wave function reduction within Bohmian quantum mechanics, utilizing Einstein's equivalence principle to clarify the transition from quantum to classical behavior and related phenomena.

Contribution

It introduces a novel application of Einstein's equivalence principle to Bohmian quantum mechanics for analyzing wave function reduction and transition criteria.

Findings

Critical mass for quantum-classical transition derived

Wave function reduction time estimated

Unruh temperature associated with quantum motion calculated

Abstract

The main topic of this paper is using Einstein's equivalence principle in the description of the gravity-induced wave function reduction in the framework of Bohmian causal quantum theory. However, such concept has been introduced and explored by Penrose for the standard quantum mechanics, but the capabilities of Bohmian quantum mechanics makes it possible to get some of results more clearly. In this regard, the critical mass for transition from the quantum world to the classical world, the reduction time of the wave function and the temperature that corresponds to the Unruh temperature will be obtained by applying Einstein's equivalence principle for the quantum motion of particle.