A truly relativistic gravity mediated entanglement protocol using superpositions of rotational energies

TL;DR

This paper proposes a genuinely relativistic quantum gravity experiment using superpositions of rotational energies, testing gravity's effect on superposed mass-energy states, distinct from traditional spatial superposition methods.

Contribution

It introduces a novel QGEM protocol based on rotational superpositions, emphasizing relativistic effects and the gravitational influence of rotational energy.

Findings

The protocol demonstrates a superposition of spacetime due to rotational energy.

It highlights the relativistic nature of gravity in quantum superpositions.

The approach distinguishes gravity effects from non-relativistic models.

Abstract

Experimental proposals for testing quantum gravity-induced entanglement of masses (QGEM) typically involve two interacting masses which are each in a spatial superposition state. Here, we propose instead a QGEM experiment with two particles which are each in a superposition of rotational states, this amounts to a superposition of mass through mass-energy equivalence. In sharp contrast to the typical protocols studied, our proposal is genuinely relativistic. It does not consider a quantum positional degree of freedom but relies on the fact that rotational energy gravitates: the effect we consider disappears in the limit where the speed of light c approaches infinity. Furthermore, this approach would test a feature unique to gravity since it amounts to sourcing a spacetime in superposition due to a superposition of 'charge'.