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Experiments are beginning to probe the interaction of quantum particles with gravitational fields beyond the uniform-field regime. In non-relativistic quantum mechanics, the gravitational field in such experiments can be written as a…

The semiclassical interaction of the gravitational with a quantum scalar field is considered, in view of the renormalizability of the associated energy-momentum tensor in a n-dimensional curved spacetime resulting from a quadratic…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Kostas Kleidis

A theoretical framework for the quantization of gravity has been an elusive Holy Grail since the birth of quantum theory and general relativity. While generations of scientists have attempted solutions to this deep riddle, an alternative…

General Relativity and Quantum Cosmology · Physics 2021-11-05 Francesco Coradeschi , Antonia Micol Frassino , Thiago Guerreiro , Jennifer Rittenhouse West , Enrico Junior Schioppa

Quantum gravity effects of zeroth order in the Planck constant are investigated in the framework of the low-energy effective theory. A special emphasis is placed on establishing the correspondence between classical and quantum theories, for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kirill A. Kazakov

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

A one-parameter deformation of Einstein?Hilbert gravity with an inverse Riemann curvature term is derived as the classical limit of quantum gravity compatible with an accelerating universe. This result is based on the investigation of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Frederic P. Schuller , Mattias N. R. Wohlfarth

We present a minimal model for the quantum evolution of matter under the influence of classical gravity in the Newtonian limit. Based on a continuous measurement-feedback channel that acts simultaneously on all constituent masses of a given…

Quantum Physics · Physics 2018-12-10 Kiran E. Khosla , Stefan Nimmrichter

We investigate the problem of metric fluctuations in the presence of the vacuum fluctuations of matter fields and critically assess the usual assertion that vacuum energy implies a Planckian cosmological constant. A new stochastic classical…

General Relativity and Quantum Cosmology · Physics 2008-06-19 Charles H. -T. Wang , Paolo M. Bonifacio , Robert Bingham , J. Tito Mendonca

Understanding the interplay between quantum mechanical systems and gravity is a crucial step towards unifying these two fundamental ideas. Recent theoretical developments have explored how global properties of spacetime would cause a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Flynn Linton , Shubhanshu Tiwari

An approach to the quantization of gravity in the presence matter is examined which starts from the classical Einstein-Hilbert action and matter approximated by "point" particles minimally coupled to the metric. Upon quantization, the…

General Physics · Physics 2022-05-24 Matej Pavšič

The question about the appearance of time in the semiclassical limit of quantum gravity continues to be discussed in the literature. It is believed that a temporal Schrodinger equation for matter fields on the background of a classical…

General Relativity and Quantum Cosmology · Physics 2025-07-24 R. I. Ayala Oña , M. B. Kalmykov , D. P. Kislyakova , T. P. Shestakova

A unified framework is developed for determining whether a gravitational-wave (GW) background behaves as a classical field or as a genuinely quantum environment. Unified here means that both descriptions originate from the same tidal…

General Relativity and Quantum Cosmology · Physics 2026-03-09 Partha Nandi , Sankarshan Sahu , Bibhas Ranjan Majhi , Francesco Petruccione

From modern observations of gravitational interactions, it can be inferred that there is much left to discover about the fundamental gravitational field. Since the advent of the General Theory of Relativity over a century ago, we have come…

General Relativity and Quantum Cosmology · Physics 2018-10-11 Ronald Gamble, , K. M. Flurchick

We follow an old suggestion made by Stueckelberg that there exists an intimate connection between weak interaction and gravity, symbolized by the relationship between the Fermi and Newton\rq s constants. We analyze the hypothesis that the…

General Relativity and Quantum Cosmology · Physics 2021-12-20 M. Novello , A. E. S. Hartmann

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…

Weak field approximate solutions in the Lambda-->0 limit of a model of de Sitter gravity have been presented in the static and spherically symmetric case. Although the model looks different from general relativity, among those solutions,…

General Relativity and Quantum Cosmology · Physics 2013-02-19 Jia-An Lu , Chao-Guang Huang

We address the issue of recovering the time-dependent Schr\"{o}dinger equation from quantum gravity in a natural way. To reach this aim it is necessary to understand the nonoccurrence of certain superpositions in quantum gravity. We explore…

General Relativity and Quantum Cosmology · Physics 2010-11-01 C. Kiefer

We show that optomechanical systems can test the Schr\"{o}dinger-Newton equation of gravitational quantum mechanics due to Yang et al. This equation is motivated by semiclassical gravity, a widely used theory of interacting gravitational…

General Relativity and Quantum Cosmology · Physics 2016-06-29 C. C. Gan , C. M. Savage , S. Z. Scully

We review aspects of loop quantum gravity in a pedagogical manner, with the aim of enabling a precise but critical assessment of its achievements so far. We emphasise that the off-shell (`strong') closure of the constraint algebra is a…

High Energy Physics - Theory · Physics 2009-11-11 Hermann Nicolai , Kasper Peeters , Marija Zamaklar

The Cosmological Constant Problem is re-examined from an effective field theory perspective. While the connection between gravity and particle physics has not been experimentally probed in the quantum regime, it is severely constrained by…

High Energy Physics - Phenomenology · Physics 2009-10-30 Raman Sundrum
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