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We illustrate the analogue of the Unruh effect for a quantum system on the real line. Our derivation relies solely on basic elements of representation theory of the group of affine transformations without a notion of time or metric. Our…

High Energy Physics - Theory · Physics 2018-11-30 Michele Arzano , Jerzy Kowalski-Glikman

A massless scalar field in two spacetime dimensions splits into two independent sectors of left and right-moving modes on the light cone. At the quantum level, these two sectors carry a representation of the group of affine transformations…

High Energy Physics - Theory · Physics 2026-01-21 Michele Arzano , Alessandra D'Alise , Simone del Rosso , Domenico Frattulillo

In this work we consider the ontological status of the Unruh effect. Is it just a formal mathematical result? Or the temperature detected by an accelerating observer can lead to real physical effects such as phase transition. In order to…

General Relativity and Quantum Cosmology · Physics 2017-03-17 Antonio Dobado

For a quantum field in a thermal equilibrium state we discuss the group generated by time translations and the modular action associated with an algebra invariant under half-sided translations. The modular flows associated with the algebras…

Mathematical Physics · Physics 2009-10-31 H. J. Borchers , J. Yngvason

The incorporation of classical general relativity into quantum field theory yields a surprising result -- thermodynamic particle production. One such phenomenon, known as the Unruh effect, causes empty space to effervesce a thermal bath of…

General Relativity and Quantum Cosmology · Physics 2022-05-16 Morgan H. Lynch

Synthetic horizons in models for quantum matter provide an alternative route to explore fundamental questions of modern gravitational theory. Here, we apply these concepts to the problem of emergence of thermal quantum states in the…

Strongly Correlated Electrons · Physics 2022-12-16 Lotte Mertens , Ali G. Moghaddam , Dmitry Chernyavsky , Corentin Morice , Jeroen van den Brink , Jasper van Wezel

Thermodynamics on the cosmological apparent horizon of a flat Friedmann-Lemaitre-Robertson-Walker metric has been investigated with Bekenstein entropy and Hawking temperature on the horizon, and Unruh temperature for the fluid inside the…

General Relativity and Quantum Cosmology · Physics 2016-07-15 Subhajit Saha

The classical Hamiltonian for a chargeless and massless particle in a very near horizon region is shown to be of the form $H\sim xp$ as long as radial motion is concerned. This is demonstrated explicitly for static spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Surojit Dalui , Bibhas Ranjan Majhi , Pankaj Mishra

This talk aims at questioning the vanishing of Unruh temperature for an inertial observer in Minkovski spacetime with finite lifetime, arguing that in the non eternal case the existence of a causal horizon is not linked to the non-vanishing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pierre Martinetti

In contrast to recent criticism we undertake to show that the notion of Unruh temperature describes a real thermal property of the vacuum if viewed from an accelerated reference frame. We embed our investigation in a more general analysis…

General Relativity and Quantum Cosmology · Physics 2013-11-08 Manfred Requardt

We revisit our previous proposed conjecture -- horizon creates a local instability which acts as the source of quantum temperature of black hole. It is found that a chargesless massless particle moving along the null trajectory in…

General Relativity and Quantum Cosmology · Physics 2020-12-29 Surojit Dalui , Bibhas Ranjan Majhi

Unruh effect states that the vacuum of a quantum field theory on Minkovski space-time looks like a thermal state for an eternal uniformly accelerated observer. Adaptation to the non eternal case causes a serious problem: if the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. Martinetti

We study the Unruh effect for an observer with a finite lifetime, using the thermal time hypothesis. The thermal time hypothesis maintains that: (i) time is the physical quantity determined by the flow defined by a state over an observable…

General Relativity and Quantum Cosmology · Physics 2009-11-07 P. Martinetti , C. Rovelli

In this work we suggest a sufficiently simple for understanding "without knowing the details of the quantum gravity" and quite correct deduction of the Unruh temperature (but not whole Unruh radiation process!). Firstly, we shall directly…

General Relativity and Quantum Cosmology · Physics 2015-03-06 Vladan Pankovic , Darko Kapor

The Unruh effect -- according to which linearly accelerated observers with proper acceleration a= constant in the (no-particle) vacuum state of inertial observers experience a thermal bath of particles with temperature $T_U = a \hbar / (2…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Gabriel Cozzella , Andre G. S. Landulfo , George E. A. Matsas , Daniel A. T. Vanzella

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

We analyze spacetimes with horizons and study the thermodynamic aspects of causal horizons, suggesting that the resemblance between gravitational and thermodynamic systems has a deeper quantum mechanical origin. We find that the observer…

General Physics · Physics 2016-10-03 Eric M Howard

A uniformly accelerated system will get thermally excited due to interactions with the vacuum fluctuations of the quantum fields. This is the Unruh effect. Also a system accelerated in a circular orbit will be heated, but in this case…

High Energy Physics - Theory · Physics 2007-05-23 Jon Magne Leinaas

It is shown that the Unruh effect, i.e. the increase in temperature indicated by a uniformly accelerated thermometer in an inertial vacuum state of a quantum field, cannot be interpreted as the result of an exchange of heat with a…

General Relativity and Quantum Cosmology · Physics 2016-03-08 Detlev Buchholz , Rainer Verch

The Hawking-Unruh effect of thermal radiance from a black hole or observed by an accelerated detector is usually viewed as a geometric effect related to the existence of an event horizon. Here we propose a new viewpoint, that the detection…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu
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