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arXiv · 2607.19141

Gravity-Induced Entanglement of Quantum Clocks as a Signature of Genuinely Quantum Local Position Invariance

Eyuri Wakakuwa
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Abstract

Whether the principles of general relativity extend to a quantum regime remains one of the open questions in modern physics. In classical general relativity, Einstein's equivalence principle underpins the interpretation of gravity as spacetime geometry. However, it is not known whether the principle remains valid when the source of gravity could be quantum. Here we show that gravity-induced entanglement (GIE) of quantum clocks provides a framework to characterize local position invariance (LPI) in such a regime, which constitutes one of the subprinciples of the equivalence principle. By adapting the existing formulation of quantum LPI to the context of GIE, we analyze two schemes that address complementary aspects of LPI and differ only in the choice of the initial clock state: one in which entanglement will be generated if and only if there is a genuinely quantum violation of LPI, and the other where classical-like LPI violation manifests in the frequency of entanglement oscillation. Our results suggest that GIE of quantum clocks offers an approach to investigating fundamental principles of general relativity in the quantum regime, shedding new light on the interplay between quantum mechanics and the theory of gravity.

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Eyuri Wakakuwa. 2026-07-21. Gravity-Induced Entanglement of Quantum Clocks as a Signature of Genuinely Quantum Local Position Invariance. https://arxiv.org/abs/2607.19141

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