Proposal for a Quantum Mechanical Test of Gravity at Millimeter Scale

TL;DR

This paper proposes a novel experiment using the Josephson effect to test quantum mechanical aspects of gravity at millimeter scales, aiming to explore potential deviations and parity invariance.

Contribution

It introduces a new experimental approach leveraging the Josephson effect to probe quantum gravity effects at small scales.

Findings

The proposed experiment can detect quantum phase shifts induced by gravity.

It offers a method to test the parity invariance of gravity at millimeter scales.

Potential to observe deviations from classical gravity laws.

Abstract

The experimental verification of the Newton law of gravity at small scales has been a longstanding challenge. Recently, torsion balance experiments have successfully measured gravitational force at the millimeter scale. However, testing gravity force on quantum mechanical wave function at small scales remains difficult. In this paper, we propose a novel experiment that utilizes the Josephson effect to detect the different evolution of quantum phase induced from the potential difference caused by gravity. We demonstrate that this experiment can test gravity quantum mechanically at the millimeter scale, and also has a potential to investigate the parity invariance of gravity at small scales.