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

• URL: http://arxiv.org/abs/2403.02062v2
• Date: Mon, 11 Nov 2024 07:31:14 GMT
• Title: A truly relativistic gravity mediated entanglement protocol using superpositions of rotational energies
• Authors: Gerard Higgins, Andrea Di Biagio, Marios Christodoulou,
• Abstract summary: Experimental proposals for testing quantum gravity-induced entanglement of masses typically involve two interacting masses. Here, we propose instead a QGEM experiment with two particles which are each in a superposition of rotational states. In sharp contrast to the typical protocols studied, our proposal is genuinely relativistic.
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• 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'.

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