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We compute the spectrum of primordial gravitational wave perturbations in open de Sitter spacetime. The background spacetime is taken to be the continuation of an O(5) symmetric instanton saddle point of the Euclidean no boundary path…

High Energy Physics - Theory · Physics 2009-10-31 S. W. Hawking , Thomas Hertog , Neil Turok

In this chapter we take up the quantum Riemannian geometry of a spatial slice of spacetime. While researchers are still facing the challenge of observing quantum gravity, there is a geometrical core to loop quantum gravity that does much to…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Hal M. Haggard , Jerzy Lewandowski , Hanno Sahlmann

Recently a model of metric fluctuations has been proposed which yields an effective Schr\"odinger equation for a quantum particle with a modified inertial mass, leading to a violation of the weak equivalence principle. The renormalization…

General Relativity and Quantum Cosmology · Physics 2015-06-26 H. -P. Breuer , E. Göklü , C. Lämmerzahl

In this paper we continue a study of cosmological perturbations in the conformal gravity theory. In previous work we had obtained a restricted set of solutions to the cosmological fluctuation equations, solutions that were required to be…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Asanka Amarasinghe , Matthew G. Phelps , Philip D. Mannheim

The work approaches the study of the fluctuations for the thermodynamic systems in the presence of the fields. The approach is of phenomenological nature and developed in a Gaussian approximation. The study is exemplified on the cases of a…

Statistical Mechanics · Physics 2009-10-31 S. Dumitru , A. Boer

In this work, we explore the possibility that quantum fluctuations induce a topology change, in the context of Gravity's Rainbow. A semi-classical approach is adopted, where the graviton one-loop contribution to a classical energy in a…

General Relativity and Quantum Cosmology · Physics 2014-08-21 Remo Garattini , Francisco S. N. Lobo

We consider a hypothesis in which classical space-time emerges from information exchange (interactions) between quantum fluctuations in the gravity theory. In this picture, a line element would arise as a statistical average of how…

High Energy Physics - Theory · Physics 2019-09-04 Anna Karlsson

The inclusion of the quantum fluctuations of the metric in the geometric action is a promising avenue for the understanding of the quantum properties of gravity. In this approach the metric is decomposed in the sum of a classical and of a…

General Relativity and Quantum Cosmology · Physics 2021-04-19 Jin-Zhao Yang , Shahab Shahidi , Tiberiu Harko , Shi-Dong Liang

We compute the graviton-induced corrections to the trajectory of a classical test particle. We show that the motion of the test particle is governed by an effective action given by the expectation value (with respect to the graviton state)…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Diego A. R. Dalvit , Francisco D. Mazzitelli

Using a density matrix description in space we study the evolution of wavepackets in a fluctuating space-time background. We assume that space-time fluctuations manifest as classical fluctuations of the metric. From the non-relativistic…

General Relativity and Quantum Cosmology · Physics 2010-04-30 E. Göklü , C. Lämmerzahl , A. Camacho , A. Macias

We discuss the possibility that spacetime geometry may be an emergent phenomenon. This idea has been motivated by the Analogue Gravity programme. These are systems where the kinematics of small perturbations are dominated by an effective…

General Relativity and Quantum Cosmology · Physics 2007-11-29 Silke Weinfurtner

The semiclassical Einstein-Langevin equations which describe the dynamics of stochastic perturbations of the metric induced by quantum stress-energy fluctuations of matter fields in a given state are considered on the background of the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Rosario Martin , Enric Verdaguer

We treat the effects of quantum field fluctuations on the decay of a meta-stable state of a self-coupled scalar field. We consider two varieties of field fluctuations and their potential effects in a semiclassical description. The first are…

High Energy Physics - Theory · Physics 2022-05-03 Haiyun Huang , L. H. Ford

The metric tensor field equations for the general quadratic curvature gravity in four spacetime dimensions are derived by making use of the algebra of the exterior forms defined on pseudo-Riemannian manifolds and the identities satisfied by…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Metin Arık , Ahmet Baykal , Tekin Dereli , Taner Tanrıverdi

Theories of emergent gravity have established a deep connection between entropy and the geometry of spacetime by looking at the latter through a thermodynamic lens. In this framework, the macroscopic properties of gravity arise in a…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Valeria Rossi , Sergio Luigi Cacciatori , Alessandro Pesci

We compute the metric fluctuations induced by a turbulent energy-matter tensor within the first order Post-Minkowskian approximation. It is found that the turbulent energy cascade can in principle interfere with the process of black hole…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Donato Bini , Stuart Kauffman , Sauro Succi , Pablo G. Tello

The influence of space-time torsion on gravitational interaction at cosmological and astrophysical scales is discussed within the framework of gauge gravitation theory in Riemann-Cartan space-time. It is shown that the interaction of the…

General Relativity and Quantum Cosmology · Physics 2017-09-27 A. V. Minkevich

Quantum gravity phenomenology suggests an effective modification of the general relativistic dispersion relation of freely falling point particles caused by an underlying theory of quantum gravity. Here we analyse the consequences of…

General Relativity and Quantum Cosmology · Physics 2018-01-26 Leonardo Barcaroli , Lukas K. Brunkhorst , Giulia Gubitosi , Niccoló Loret , Christian Pfeifer

Quantum fluctuations of electromagnetic radiation pressure are discussed. We use an approach based on the quantum stress tensor to calculate the fluctuations in velocity and position of a mirror subjected to electromagnetic radiation. Our…

Quantum Physics · Physics 2009-11-06 Chun-Hsien Wu , L. H. Ford

We establish a fluctuation-correlation theorem by relating the quantum fluctuations in the generator of the parameter change to the time integral of the quantum correlation function between the projection operator and force operator of the…

Quantum Physics · Physics 2009-10-31 Arun K. Pati