On the dynamics of gravity induced wave function reduction

TL;DR

This paper introduces a deterministic, Bohmian trajectory-based interpretation of gravity-induced wave function reduction, providing analytical and numerical insights into the reduction process and its timing.

Contribution

It presents a novel Bohmian approach to gravity-induced wave function reduction, offering a new perspective on the reduction dynamics and timing.

Findings

Derived analytical expressions for reduction time

Numerical simulations of particle trajectories during reduction

Classified regimes of particle motion under gravity and quantum forces

Abstract

In this study, we use the concept of Bohmian trajectories to present a dynamical and deterministic interpretation for the gravity induced wave function reduction. We shall classify all possible regimes for the motion of a particle, based on the behavior of trajectories in the ensemble and under the influence of quantum and gravitational forces. In the usual approaches all information are obtained from the wave function evolution. But, on the basis of Bohm's deterministic quantum theory, we can investigate the motion of particle during the reduction processes. This leads to analytical and numerical results for the reduction time and equation of motion of the particle. In this regard, a new meaning will be provided for the reduction time.