非相对论量子系统的引力纠缠和内能的质量贡献
Gravitational entanglement and the mass contribution of internal energy in nonrelativistic quantum systems
摘要：
最近，人们对通过牛顿引力相互作用的远程量子粒子的纠缠感兴趣，无论是从基本的角度还是作为引力量子化的测试案例。类似地，在复合非相对论性量子系统中的后牛顿引力效应也被讨论过，其中内能对质量有贡献，将质量提升为希尔伯特空间算符。采用以前考虑过的思想实验的修改版本，它可以表明，这两个概念，当结合在一起，导致不一致，加强了严格推导的必要性的参数的引力量子物质的非相对论极限的第一原则。
英文摘要：
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.
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