Testing classical-quantum gravity with geodesic deviation

Fuente: arXiv
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Main Authors: Hirotani, Tomoya, Matsumura, Akira
Format: Preprint
Published: 2026
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_version_ 1866910088234532864
author Hirotani, Tomoya
Matsumura, Akira
author_facet Hirotani, Tomoya
Matsumura, Akira
contents A novel semiclassical gravity model proposed by Oppenheim et al., that consistently describes interactions between quantum systems and a classical gravitational field, has recently attracted considerable attention. However, the limitations and phenomenological viability of this model have not yet been thoroughly investigated. In this work, based on the model, we study quantum fluctuations of geodesic deviation coupled with a classical gravitational field. We analytically derive the strain spectrum expected from the fluctuations and show that the original Oppenheim et al. model can be tested with the current observational sensitivity of gravitational-wave experiments. Furthermore, motivated by the novel semiclassical model, we construct two additional models: a modified Oppenheim et al. model that is manifestly consistent with Einstein equation, and a classical-quantum model with environment-induced noise. We analyze the strain spectra predicted by these two models through comparison with those of the original Oppenheim et al. model and perturbative quantum gravity.
format Preprint
id arxiv_https___arxiv_org_abs_2603_29230
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Testing classical-quantum gravity with geodesic deviation
Hirotani, Tomoya
Matsumura, Akira
General Relativity and Quantum Cosmology
Quantum Physics
A novel semiclassical gravity model proposed by Oppenheim et al., that consistently describes interactions between quantum systems and a classical gravitational field, has recently attracted considerable attention. However, the limitations and phenomenological viability of this model have not yet been thoroughly investigated. In this work, based on the model, we study quantum fluctuations of geodesic deviation coupled with a classical gravitational field. We analytically derive the strain spectrum expected from the fluctuations and show that the original Oppenheim et al. model can be tested with the current observational sensitivity of gravitational-wave experiments. Furthermore, motivated by the novel semiclassical model, we construct two additional models: a modified Oppenheim et al. model that is manifestly consistent with Einstein equation, and a classical-quantum model with environment-induced noise. We analyze the strain spectra predicted by these two models through comparison with those of the original Oppenheim et al. model and perturbative quantum gravity.
title Testing classical-quantum gravity with geodesic deviation
topic General Relativity and Quantum Cosmology
Quantum Physics
url https://arxiv.org/abs/2603.29230