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Gravitational Aharonov-Bohm Effect

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arxiv 2311.07764 v2 pith:6LR6E2HK submitted 2023-11-13 gr-qc physics.atom-phquant-ph

classification gr-qcphysics.atom-phquant-ph
keywords aharonov-bohmeffectgravitationalsystemquantumfree-fallsignaturearound
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We investigate the gravitational Aharonov-Bohm effect, by placing a quantum system in free-fall around a gravitating body {\it e.g.} a satellite orbiting the Earth. Since the system is in free-fall, by the equivalence principle, the quantum system is locally in flat, gravity-free space-time - it is screened from the gravitational field. For a slightly elliptical orbit, the gravitational potential will change with time. This leads to the energy levels of the quantum system developing side bands which is the signature for this version of the Aharonov-Bohm effect. This contrasts with the normal signature of the Aharonov-Bohm effect of shifting of interference fringes.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Josephson's effect in the Schwarzschild background

    hep-th 2025-10 conditional novelty 5.0 of 10

    Josephson dynamics in Schwarzschild spacetime reduce to flat-space laws with redshifted voltages, giving critical currents that scale as α, power as α², and Shapiro steps fixed in asymptotic variables.

  2. Signatures of modified gravity from the gravitational Aharonov-Bohm effect

    gr-qc 2025-02 reject novelty 4.0 of 10

    For a Kaluza-Klein modified gravitational potential, the gravitational Aharonov-Bohm phase produces energy-level shifts that are dominated by an assumed constant correction to Newton's constant, while the claimed new ...

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