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It is found that the existence of spacetime foam leads to a situation in which the number of fundamental quantum bosonic fields is a variable quantity. The general aspects of an exact theory that allows for a variable number of fields are…

High Energy Physics - Theory · Physics 2009-10-31 A. A. Kirillov

A physically meaningful local concept of temperature is introduced in quantum field theory on curved spacetime and applied to the example of a massless field on de Sitter space. It turns out in this model that the equilibrium (Gibbs) states…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Detlev Buchholz , Jan Schlemmer

It is shown how the characteristic thermal effects that observers experience in space-times possessing an event horizon can manifest already in a simple quantum system with affine symmetry living on the real line. The derivation presented…

High Energy Physics - Theory · Physics 2020-04-01 Michele Arzano

We develop a complete path-integral formulation of relativistic quantum fields in local thermal equilibrium, which brings about the emergence of thermally induced curved spacetime. The resulting action is shown to have full diffeomorphism…

High Energy Physics - Theory · Physics 2021-10-07 Masaru Hongo

An uniformly accelerated (Rindler) observer will detect particles in the Minkowski vacuum, known as Unruh effect. The spectrum is thermal and the temperature is given by that of the Killing horizon, which is proportional to the…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Ananya Adhikari , Krishnakanta Bhattacharya , Chandramouli Chowdhury , Bibhas Ranjan Majhi

Didactic heuristic arguments, based on the quantum mechanics of the vacuum and the structure of spacetime, are reviewed concerning particle creation from the vacuum by an electric field, vacuum radiation in an accelerated frame, black-hole…

Quantum Physics · Physics 2015-06-26 Howard E. Brandt

The imaginary-time formulation is investigated in the field theory. The Dirac and photon's Lagrangians are treated in the imaginary-time and space and are invariant under scale transformations, which are motivated by the Tolman-Ehrenfest…

High Energy Physics - Phenomenology · Physics 2014-08-21 Yi-Cheng Huang

Vacuum fluctuations have observable consequences, like the Casimir force appearing between two mirrors in vacuum. This force is now measured with good accuracy and agreement with theory. We discuss the meaning and consequences of these…

Quantum Physics · Physics 2007-05-23 Cyriaque Genet , Astrid Lambrecht , Serge Reynaud

The generators of radial conformal symmetries in Minkowski space-time can be mapped to the generators of time evolution in conformal quantum mechanics. Within this correspondence we show that in conformal quantum mechanics the state…

High Energy Physics - Theory · Physics 2021-07-21 Michele Arzano

We discuss the main myths related to the vacuum energy and cosmological constant, such as: ``unbearable lightness of space-time''; the dominating contribution of zero point energy of quantum fields to the vacuum energy; non-zero vacuum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. E. Volovik

This paper continues the investigation initiated in arXiv:2204.08634 into the quantum thermodynamic properties of space by deriving the vacuum compressibility of a variety of dynamical spacetimes containing massive and massless conformally…

General Relativity and Quantum Cosmology · Physics 2024-03-29 Yu-Cun Xie , Jen-Tsung Hsiang , Bei-Lok Hu

Cosmological models with an inhomogeneous viscous dark fluid, coupled with dark matter in the Friedmann- Robertson-Walker (FRW) flat universe, are considered. The influence of thermal effects caused by Hawking radiation on the visible…

General Relativity and Quantum Cosmology · Physics 2021-08-23 I. Brevik , A. V. Timoshkin , Tanmoy Paul

We consider a microscopic model of spacetime, where spacetime is assumed to be a specific graph with Planck size quantum black holes on its vertices. As a thermodynamical system under consideration we take a certain uniformly accelerating,…

General Relativity and Quantum Cosmology · Physics 2008-10-28 Jarmo Makela

The free energy due to the vacuum fluctuations of matter fields on a classical gravitational background is discussed. It is shown explicitly how this energy is calculated for a non-minimally coupled scalar field in an arbitrary…

High Energy Physics - Theory · Physics 2007-05-23 Karsten Bormann , Frank Antonsen

It is shown that the timelike asymptotic properties of thermal correlation functions in relativistic quantum field theory can consistently be described in terms of free fields carrying some stochastic degree of freedom which couples to the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jacques Bros , Detlev Buchholz

The Unruh effect predicts that an accelerated observer perceives the Minkowski vacuum as a thermal bath, but its direct observation requires extreme accelerations beyond current experimental reach. Foundational theory [Olson & Ralph, Phys.…

Quantum Physics · Physics 2025-10-29 Zhenghao Luo , Yi Li , Xingyu Zhao , Zihan Xie , Zehua Tian , Yiheng Lin

We show from one-loop quantum gravity and statistical thermodynamics that the thermodynamics of quantum foam in flat space-time and Schwarzschild space-time is exactly the same as that of Hawking-Unruh radiation in thermal equilibrium. This…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Liao Liu , Yongge Ma

We report on the recent results revealing the presence of geometric invariants in all the phenomena in which vacuum condensates appear and we show that Aharonov--Anandan phase can be used to provide the evidence of phenomena like Hawking…

High Energy Physics - Theory · Physics 2015-06-17 Antonio Capolupo , Giuseppe Vitiello

This study unveils the time-space transforms underlying anomalous diffusion process. Based on this finding, we present the two hypotheses concerning the effect of fractal time-space fabric on physical behaviors and accordingly derive…

Mathematical Physics · Physics 2015-06-26 W Chen

In the study of quantum vacuum energy and the Casimir effect, it is desirable to model the conductor by a potential of the form $V(z)=z^\alpha$. This "soft wall" model was proposed so as to avoid the violation of the principle of virtual…

High Energy Physics - Theory · Physics 2022-06-09 Agam Shayit , S. A. Fulling , T. E. Settlemyre , Joseph Merritt
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