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We derive a "classical-quantum" approximation scheme for a broad class of bipartite quantum systems from fully quantum dynamics. In this approximation, one subsystem evolves via classical equations of motion with quantum corrections, and…

Quantum Physics · Physics 2023-06-05 Viqar Husain , Irfan Javed , Sanjeev S. Seahra , Nomaan X

Emergence of classicality from quantum mechanics, a hotly debated topic, has had no satisfactory resolution so far. Various approaches including decoherence and gravitational interactions have been suggested. In the present work, the…

Quantum Physics · Physics 2023-02-08 Sourav Kesharee Sahoo , Radhika Vathsan , Tabish Qureshi

The influence of quantized electromagnetic fields on a nonrelativistic charged particle moving near a conducting plate is studied. We give a field-theoretic derivation of the nonlinear, non-Markovian Langevin equation of the particle by the…

High Energy Physics - Theory · Physics 2008-11-26 Jen-Tsung Hsiang , Tai-Hung Wu , Da-Shin Lee

The semiclassical approximation takes into account the gravitational contribution of zero-point energies. We model this contribution via the renormalized stress-energy tensor (RSET) of a massless scalar field, which we compute in a…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Julio Arrechea , Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

We present brief, to great extent pedagogical review on renormalization in curved space-time and of some recent results on the derivation and better understanding of quantum corrections to the action of gravity. The paper is mainly devoted…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ilya L. Shapiro

The theory starts from a tentative interpretation of gravity as Archimedes' thrust exerted on matter at the scale of elementary particles by an imagined perfect fluid ("ether"): the gravity acceleration is expressed by a formula in which…

General Physics · Physics 2007-09-05 Mayeul Arminjon

Space-time quantum contributions to the classical Einstein equations of General Relativity are determined. The theoretical background is provided by the non-perturbative theory of manifestly-covariant quantum gravity and the…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Claudio Cremaschini , Massimo Tessarotto

Semi-classical gravity attempts to define a hybrid theory in which a classical gravitational field is coupled to a unitarily evolving quantum state. Although semi-classical gravity is inconsistent with observation, a viable theory of this…

General Relativity and Quantum Cosmology · Physics 2018-08-21 Adrian Kent

In this report we discuss three aspects: 1) Semiclassical gravity theory (SCG): 4 levels of theories describing the interaction of quantum matter with classical gravity; 2) Alternative Quantum Theories: Discerning those which are derivable…

General Relativity and Quantum Cosmology · Physics 2015-06-18 B. L. Hu

Perturbed Einstein's equations with a linear response relation and a stochastic source, applicable to a relativistic star model are worked out . These perturbations which are stochastic in nature, are of significance for building a…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Seema Satin

Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy system, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values.…

Statistical Mechanics · Physics 2019-12-25 Valerio Lucarini

In the framework of finite temperature conformal scalar field theory on de Sitter space-time the linearized Einstein equations for the renormalized stress tensor are exactly solved. In this theory quantum field fluctuations are concentrated…

General Relativity and Quantum Cosmology · Physics 2010-04-06 D. V. Fursaev , G. Miele

We review the method of stochastic quantization for a scalar field theory. We first give a brief survey for the case of self-interacting scalar fields, implementing the stochastic perturbation theory up to the one-loop level. The…

High Energy Physics - Theory · Physics 2008-11-26 G. Menezes , N. F. Svaiter

For a conformally-coupled scalar field we obtain the conformally-related Einstein-Langevin equations, using appropriate transformations for all the quantities in the equations between two conformally-related spacetimes. In particular, we…

General Relativity and Quantum Cosmology · Physics 2016-09-14 Seema Satin , H. T. Cho , Bei Lok Hu

The cosmological stochastic gravitational-wave background produced by the mildly non-linear evolution of density fluctuations is analyzed, in the frame of an Einstein-de Sitter model, by means of a fully relativistic perturbation expansion…

Astrophysics · Physics 2007-05-23 Sabino Matarrese , Silvia Mollerach

This work explores the possibility of applying stochastic quantum mechanics to curved spacetimes, with an emphasis on the Schwarzschild black hole. After reviewing the fundamental concepts of this approach, the quantum stochastic equations…

General Physics · Physics 2026-04-20 Juan S. Jerez- Rodríguez , Eric S. Escobar-Aguilar , Tonatiuh Matos

We quote a definitive simple proof that neither classical stochastic dynamics nor quantum dynamics can be nonlinear if we stick to their standard statistical interpretations. A recently proposed optomechanical test of gravity's classicality…

Quantum Physics · Physics 2025-07-22 Lajos Diósi

Schwarzschild's 'interior solution' is a space-time metric that satisfies Einstein's gravitational field equations with a source term that Einstein created on the basis of an unjustified identification of the conceptually distinct notions…

General Relativity and Quantum Cosmology · Physics 2012-10-18 Homer G. Ellis

In this work we consider the effects of gravitons and their fluctuations on the dynamics of two masses using the Feynman-Vernon influence functional formalism, applied to nonequilibrium quantum field theory and semiclassical stochastic…

General Relativity and Quantum Cosmology · Physics 2023-01-10 H. T. Cho , B. L. Hu

A new idea for the quantization of dynamic systems, as well as space time itself, using a stochastic metric is proposed. The quantum mechanics of a mass point is constructed on a space time manifold using a stochastic metric. A stochastic…

General Relativity and Quantum Cosmology · Physics 2018-03-22 Yoshimasa Kurihara