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.
The unification of quantum mechanics and general relativity remains an open problem. This paper provides a structured conceptual synthesis of arguments motivating quantum gravity. We first review heuristic motivations: (i) the tension between quantum superposition and a classical gravitational field, (ii) dimensional a...
S. Kalimuthu· Annals of Mathematics and Ph...· 0 citations
In this work, we propose a notion called effective distance to characterize the essential gravitational effects on quantum coherence of neutrinos. Employing effective distances, we prove that one can always map neutrino-oscillation phases in asymptotically flat spacetimes onto the phases in flat spacetime, which is con...
The reconciliation of general relativity with quantum mechanics is conventionally sought through the quantization of the gravitational field. The approach taken here differs from canonical quantization by treating the metric as an irreducibly stochastic classical field. By merging the post-quantum theory of gravity w...
N. Shriethar· International Journal of Mod...· 0 citations
The problem of time in quantum gravity is often presented as a consequence of applying quantum theory to general relativity. These notes adopt a broader perspective. We first examine how time enters classical mechanics, relativity, quantum theory, and quantum field theory, distinguishing three principal aspects: causal...
The unification of quantum theory and the general theory of relativity, describing gravity, is one of the most important challenges in science. Einstein’s general theory of relativity is based on the principle of equivalence and has been confirmed to great accuracy for large bodies. However, in the quantum domain, the...
O. Dobkowski, Barak Trok, P. Skakunenko et al.· Science Advances· 0 citations
The pursuit of a quantum theory of gravity, aiming to unify general relativity and quantum mechanics, remains one of the most enduring challenges in physics. Because of the extreme energy scales associated with the Planck regime, direct experimental evidence for quantum gravity remains elusive. However, recent proposal...
Alireza Maleki· 0 citations
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