A truly relativistic gravity mediated entanglement protocol using superpositions of rotational energies
arXiv:2403.02062 · doi:10.1103/PhysRevD.110.L101901
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'.
5 pages, 3 figures, 3 pages supplemental material. Updated manuscript, accepted by Phys Rev D
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