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Complementarity plays a pivotal role in understanding a diverse range of quantum phenomena. Here, we show how the tradeoff between quantities of a complete complementarity relation is modified in an arbitrary spacetime for a particle with…

Quantum Physics · Physics 2024-06-07 Marcos L. W. Basso , Ismael L. Paiva , Pedro R. Dieguez

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…

General Relativity and Quantum Cosmology · Physics 2024-03-27 RY Chiao , NA Inan , M Scheibner , J Sharping , DA Singleton , ME Tobar

Atom interferometry is now reaching sufficient precision to motivate laboratory tests of general relativity. We begin by explaining the non-relativistic calculation of the phase shift in an atom interferometer and deriving its range of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Savas Dimopoulos , Peter W. Graham , Jason M. Hogan , Mark A. Kasevich

Gravity-induced quantum interference is a remarkable effect that has already been confirmed experimentally, and it is a phenomenon in which quantum mechanics and gravity play simultaneously an important role. Additionally, a generalized…

Quantum Physics · Physics 2009-10-31 Abel Camacho Quintana

Recent progress in table-top experiments offers the opportunity to show for the first time that gravity is not compatible with a classical description. In all current experimental proposals, such as the generation of gravitationally induced…

Quantum Physics · Physics 2024-08-05 Lin-Qing Chen , Flaminia Giacomini

The phase shift a neutron interferometer caused by the gravitational field and the rotation of the earth is derived in a unified way from the standpoint of general relativity. General relativistic quantum interference effects in the slowly…

General Relativity and Quantum Cosmology · Physics 2010-03-02 A. I. Mamadjanov , A. A. Hakimov , S. R. Tojiev

Resorting to a Gedankenexperiment which is very similar to the famous Aharonov-Bohm proposal it will be shown that, in the case of a Minkowskian spacetime, we may use a nonrelativistic quantum particle and a noninertial coordinate system…

Quantum Physics · Physics 2009-10-31 A. Camacho

The formalism of nonrelativistic quantum physics was originally considered in the context of inertial frames. Here, we report on a more general framework that includes noninertial frames and arbitrarily strong gravitational fields. We…

High Energy Physics - Theory · Physics 2024-08-13 Riccardo Falcone

This paper examines the variance of quantum and classical predictions in the quantum realm, as well as unexpected presence and absence of variances. Some features are found that share an indirect commonality with the Aharonov-Bohm and…

General Physics · Physics 2008-07-18 Mario Rabinowitz

Understanding physical phenomena at the intersection of quantum mechanics and general relativity remains a major challenge in modern physics. While various experimental approaches have been proposed to probe quantum systems in curved…

Quantum Physics · Physics 2026-03-27 Eyuri Wakakuwa

Gravity-induced quantum interference is an experiment that exhibits how a gravitational effect appears in quantum mechanics. In this famous experiments gravity was added to the system just classically. In our study we do the related…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Mohammad A. Ganjali , Zainab Sedaghatmanesh

"Decoherence of quantum superpositions through coupling to engineered reservoirs" is the topic of a recent article by Myatt et al. [Nature {\underline{403}}, 269 (2000)] which has attracted much interest because of its relevance to current…

Quantum Physics · Physics 2009-11-10 R. F. O'Connell , Jian Zuo

The relativistic quantum interference effects in the spacetime of slowly rotating object in the Ho\v{r}ava-Lifshitz gravity as the Sagnac effect and phase shift of interfering particle in neutron interferometer are derived. We consider the…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Abdullo Hakimov , Bobur Turimov , Ahmadjon Abdujabbarov , Bobomurot Ahmedov

The present thesis deals with some properties of classical and quantum scalar fields in an inhomogeneous and/or time-dependent background, focusing on models where the latter can be described as a curved space-time with an event horizon.…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Florent Michel

This paper investigates a geometric framework for the gravitational Aharonov-Bohm effect in four-dimensional spacetime, demonstrating how spacetime curvature induces nonlocal quantum phase shifts within field-free regions. By constructing…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Yanhui Li , Yakefu Reyimuaji

Fully covariant wave equations predict the existence of a class of inertial-gravitational effects that can be tested experimentally. In these equations inertia and gravity appear as external classical fields, but, by conforming to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Papini

Bohmian mechanics offers a deterministic alternative to conventional quantum theory through well-defined particle trajectories. While successful in nonrelativistic contexts, its extension to curved spacetime-and hence quantum…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Mohamed Hatifi

In this paper, we aim to explore the interplay between neutrinos and quantum gravity, illustrating some proposals about the use of these particles as probes for the supposed quantized structure of spacetime. The residual signatures of a…

General Relativity and Quantum Cosmology · Physics 2025-02-25 Marco Danilo Claudio Torri , Lino Miramonti

Based on unified theory of electromagnetic interactions and gravitational interactions, the non-relativistic limit of the equation of motion of a charged Dirac particle in gravitational field is studied. From the Schrodinger equation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ning Wu

The question of general covariance in quantum gravity is considered in the first post-Newtonian approximation. Transformation properties of observable quantities under deformations of a reference frame, induced by variations of the gauge…

High Energy Physics - Theory · Physics 2009-11-07 Kirill A. Kazakov