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The scope of this paper is twofold. First, we derive rigorously a low-velocity and Galilei-covariant limit of the gravitoelectromagnetic (GEM) equations. Subsequently, these reduced GEM equations are coupled to the Schr\"odinger equation…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Giovanni Manfredi

We investigate the previously unexplored quantum dynamics of non-relativistic, spinless particles propagating in curved spaces with torsion. Our findings demonstrate that while torsion has been predominantly associated with spin, it can…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Tomoi Koide , Armin van de Venn

Quantum gravity is a challenge in physics, and the existence of graviton is the prime question at present. We study the detectability of the quantum noise induced by gravitons in this letter. The correlation of the quantum noise in the…

General Relativity and Quantum Cosmology · Physics 2021-06-04 Hongguang Zhang , Xilong Fan , Yihui Lai

Recent progress in observing and manipulating mechanical oscillators at quantum regime provides new opportunities of studying fundamental physics, for example, to search for low energy signatures of quantum gravity. For example, it was…

Quantum Physics · Physics 2019-09-24 P. A. Bushev , J. Bourhill , M. Goryachev , N. Kukharchyk , E. Ivanov , S. Galliou , M. E. Tobar , S. Danilishin

The experimental verification of the Newton law of gravity at small scales has been a longstanding challenge. Recently, torsion balance experiments have successfully measured gravitational force at the millimeter scale. However, testing…

High Energy Physics - Phenomenology · Physics 2025-02-04 Yu Cheng , Jiadu Lin , Jie Sheng , Tsutomu T. Yanagida

Improvement of the classical gravity with the running gravitational coupling obtained from asymptotically safe gravity, is a good way of considering the effects of quantum gravity. This is usually done for metric theories of gravity. Here…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Raihaneh Moti , Ali Shojai

We propose a criterion for the validity of semiclassical gravity (SCG) which is based on the stability of the solutions of SCG with respect to quantum metric fluctuations. We pay special attention to the two-point quantum correlation…

General Relativity and Quantum Cosmology · Physics 2009-11-10 B. L. Hu , Albert Roura , Enric Verdaguer

Explaining the behavior of macroscopic objects from the point of view of the quantum paradigm has challenged the scientific community for a century today. A mechanism of gravitational self-interaction, governed by the so-called…

Quantum Physics · Physics 2024-03-27 Gabriel H. S. Aguiar , George E. A. Matsas

Phenomenological models aiming to join gravity and quantum mechanics often predict effects that are potentially measurable in refined low-energy experiments. For instance, modified commutation relations between position and momentum, that…

We solve the Schr\"odinger-Newton problem of Newtonian gravity coupled to a nonrelativistic scalar particle for solutions with axial symmetry. The gravitational potential is driven by a mass density assumed to be proportional to the…

High Energy Physics - Theory · Physics 2024-12-30 A. Flores , C. Stegner , S. S. Chabysheva , J. R. Hiller

Bose et al. and Marletto and Vedral proposed an experiment to test whether gravity can induce entanglement between massive systems, arguing that the capacity to do so would imply the quantum nature of gravity. In this work, a class of…

Quantum Physics · Physics 2026-05-08 Ward Struyve

Quantum experiments with nanomechanical oscillators are regarded as a testbed for hypothetical modifications of the Schr\"{o}dinger equation, which predict a breakdown of the superposition principle and induce classical behavior at the…

Quantum Physics · Physics 2014-07-14 Stefan Nimmrichter , Klaus Hornberger , Klemens Hammerer

Gravity differs from all other known fundamental forces since it is best described as a curvature of spacetime. For that reason it remains resistant to unifications with quantum theory. Gravitational interaction is fundamentally weak and…

We discuss the stability of semiclassical gravity solutions with respect to small quantum corrections by considering the quantum fluctuations of the metric perturbations around the semiclassical solution. We call the attention to the role…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu , Albert Roura , Enric Verdaguer

The nonrelativistic limit of nonlocal modifications to the Klein Gordon operator is studied, and the experimental possibilities of casting stringent constraints on the nonlocality scale via planned and/or current optomechanical experiments…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Alessio Belenchia , Dionigi M. T. Benincasa , Stefano Liberati , Francesco Marin , Francesco Marino , Antonello Ortolan

We propose a thought experiment, based on a mechanism that is reminiscent of Cavendish's torsion balance, to investigate the possible quantum nature of the gravitational field generated by the quantum superposition state of a massive…

Quantum Physics · Physics 2017-10-25 Matteo Carlesso , Mauro Paternostro , Hendrik Ulbricht , Angelo Bassi

The Einstein-Langevin equation is a perturbative correction to the semiclassical Einstein equation which takes into account the lowest order quantum fluctuations of the matter stress-energy tensor. It predicts classical stochastic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rosario Martin , Enric Verdaguer

In this paper, we are exploring the feasibility of observing non-classical features of gravity in a low-energy regime in a quantum optomechanical experiment. If gravity is to have an underlying quantum nature, it should hold the most…

Quantum Physics · Physics 2019-05-03 Sahar Sahebdivan

In semiclassical gravity the back-reaction of the classical gravitational field interacting with quantum matter fields is described by the semiclassical Einstein equations. A criterion for the validity of semiclassical gravity based on the…

General Relativity and Quantum Cosmology · Physics 2011-08-04 E. Verdaguer

We propose an optomechanical nano-gravimeter based on exceptional points. The system is a coupled cavity optomechanical system, in which the gain and loss are applied by driving the cavities with a blue detuned and red detuned…

Quantum Physics · Physics 2019-12-13 Jian Liu , Lei Chen , Ka-Di Zhu