Prospects for testing the inverse-square law and gravitomagnetism using quantum interference

TL;DR

This paper proposes a tabletop experiment to test the inverse-square law of gravity and gravitomagnetism at short distances, also enabling exploration of gravity's effects on quantum particles and their spins.

Contribution

It introduces a simple experimental setup capable of probing gravity at short scales and studying quantum-gravity interactions, including gravitomagnetism and spin effects.

Findings

Potential to test gravity at unprecedented short distances

Feasibility of detecting gravitomagnetic interactions with quantum spins

Proposal of a gravitationally induced quantum harmonic oscillator

Abstract

We examine a simple tabletop experimental setup for probing the inverse-square law of gravity and detecting eventual deviations therefrom. The nature of the setup allows indeed to effectively reach for shorter distances compared to what is allowed by other methods. Furthermore, we show that the same setup could also in principle be used to probe the interaction between gravitomagnetism and the intrinsic angular spin of quantum particles. Moreover, we show that the setup allows to have a gravitationally induced harmonic oscillator, introducing thus the possibility of studying in a novel way the interaction between gravity and quantum particles.