Gravitationally induced decoherence vs space-time diffusion: testing the quantum nature of gravity.

ABSTRACT: We consider two interacting systems when one is treated classically while the other system remains quantum. Consistent dynamics of this coupling has been shown to exist, and explored in the context of treating space-time classically. Here, we prove that any such hybrid dynamics necessarily results in decoherence of the quantum system, and a breakdown in predictability in the classical phase space. We further prove that a trade-off between the rate of this decoherence and the degree of diffusion induced in the classical system is a general feature of all classical quantum dynamics; long coherence times require strong diffusion in phase-space relative to the strength of the coupling. Applying the trade-off relation to gravity, we find a relationship between the strength of gravitationally-in

SUBMITTER: Oppenheim J 

PROVIDER: S-EPMC10696068 | biostudies-literature | 2023 Dec

REPOSITORIES: biostudies-literature