Quantum statistics in Bohmian trajectory gravity

TL;DR

This paper predicts that Bohmian trajectory gravity, which treats gravity classically, can induce quantum entanglement in the BMV experiment, contrasting with other models that predict no entanglement.

Contribution

It introduces a novel prediction that Bohmian trajectory gravity can generate entanglement, challenging existing semi-classical and collapse models.

Findings

Bohmian gravity predicts entanglement in the BMV experiment.

Semi-classical and collapse models predict no entanglement.

Bohmian approach offers a different perspective on quantum gravity.

Abstract

The recent experimental proposals by Bose et al. and Marletto et al. (BMV) outline a way to test for the quantum nature of gravity by measuring gravitationally induced differential phase accumulation over the superposed paths of two 10^-14kg masses. These authors outline the expected outcome of these experiments for semi-classical, quantum gravity and collapse models. It is found that both semi-classical and collapse models predict a lack of entanglement in the experimental results. This work predicts the outcome of the BMV experiment in Bohmian trajectory gravity - where classical gravity is assumed to couple to the particle configuration in each Bohmian path, as opposed to semi-classical gravity where gravity couples to the expectation value of the wave function, or of quantized gravity, where the gravitational field is itself in a quantum superposition. In the case of the BMV experiment, Bohmian trajectory gravity predicts that there will be quantum entanglement. This is surprising as the gravitational field is treated classically. A discussion of how Bohmian trajectory gravity can induce quantum entanglement for a non-superposed gravitational field is put forward.