Gravitational entanglement and the mass contribution of internal energy in nonrelativistic quantum systems
arXiv:2204.03322 · doi:10.1142/S0218271822420172
Abstract
Recently, interest has increased in the entanglement of remote quantum particles through the Newtonian gravitational interaction, both from a fundamental perspective and as a test case for the quantization of gravity. Likewise, post-Newtonian gravitational effects in composite nonrelativistic quantum systems have been discussed, where the internal energy contributes to the mass, promoting the mass to a Hilbert space operator. Employing a modified version of a previously considered thought experiment, it can be shown that both concepts, when combined, result in inconsistencies, reinforcing the arguments for the necessity of a rigorous derivation of the nonrelativistic limit of gravitating quantum matter from first principles.
arXiv commentEssay written for the Gravity Research Foundation 2022 Awards for Essays on Gravitation
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