# Gravitational decoherence: a general non relativistic model

## TL;DR

This paper derives a comprehensive quantum master equation describing how a scalar bosonic particle experiences decoherence due to a weak, stochastic gravitational field, unifying previous results and advancing understanding in low-energy quantum gravity.

## Contribution

It introduces a general non-relativistic model for gravitational decoherence, reconciling prior conflicting descriptions and expanding the theoretical framework for quantum-gravity interactions.

## Key findings

- The master equation predicts decoherence in position, momentum, and energy.
- It reproduces existing results in specific limits, clarifying previous discrepancies.
- The model is relevant for low-energy quantum gravity experiments.

## Abstract

We derive a general quantum master equation for the dynamics of a scalar bosonic particle interacting with a weak, stochastic and classical external gravitational field. The dynamics predicts decoherence in position, momentum and energy. We show how our master equation reproduces the results present in the literature by taking appropriate limits, thus explaining the apparent contradiction in their dynamical description. Our result is relevant in light of the increasing interest in the low energy quantum-gravity regime.