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It is well known that Minkowski vacuum appears as a thermal bath in the Rindler spacetime when the modes on the left wedge are traced out. We introduce the concept of a Rindler-Rindler spacetime, obtained by a further coordinate…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Sanved Kolekar , T. Padmanabhan

We investigate the Unruh effect for a massless scalar field in the two dimensional Minkowski space in the presence of a uniformly accelerated perfect mirror, with the trajectory of the mirror chosen in such a way that the mirror completely…

High Energy Physics - Theory · Physics 2015-02-05 Nistor Nicolaevici

We revisit the Unruh effect within a general framework based on direct, probability-level calculations. We rederive the transition rate of a uniformly accelerating Unruh-DeWitt monopole detector coupled to a massive scalar field, from both…

High Energy Physics - Theory · Physics 2025-01-13 Robert Dickinson , Jeff Forshaw , Ross Jenkinson , Peter Millington

We show that Minkowski single-particle states localized beyond the horizon modify the Unruh thermal distribution in an accelerated frame. This means that, contrary to classical predictions, accelerated observers can reveal particles emitted…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Riccardo Falcone , Claudio Conti

We analyse the quantization procedure of the spinor field in the Rindler spacetime, showing the boundary conditions that should be imposed to the field, in order to have a well posed theory. We then investigate the relationship between this…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Daniele Oriti

Considering two accelerated observers with same acceleration in two timelike wedges of Rindler frame we calculate the Feynman-{\it like} propagators for a real scalar field in a thermal bath with respect to the Minkowski vacuum. Only the…

High Energy Physics - Theory · Physics 2024-05-14 Dipankar Barman , Bibhas Ranjan Majhi

We discuss the emission of radiation from general sources in quantum scalar, electromagnetic and gravitational fields using the Rindler coordinate frame, which is suitable for a uniformly accelerated observer, in the Minkowski vacuum. In…

An observer at rest with the expanding universe experiences some extra noise in the quantum vacuum, and so does an accelerated observer in a vacuum at rest (in Minkowski space). The literature mainly focuses on the ideal cases of…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Ziv Landau , Ulf Leonhardt

It has been proved in the context of quantum fields in Minkowski spacetime that the vacuum state is a thermal state according to uniformly accelerated observers -- a seminal result known as the Unruh effect. Recent claims, however, have…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Cesar A. Uliana Lima , Frederico Brito , José A. Hoyos , Daniel A. T. Vanzella

We consider a free Dirac field in flat spacetime and we derive the representation of the Minkowski vacuum as an element of the Rindler-Fock space. We also compute the statistical operator obtained by tracing away the left wedge. We detail…

High Energy Physics - Theory · Physics 2023-06-06 Riccardo Falcone , Claudio Conti

We discuss the emission of pairs of photons by charges with generic worldlines in the Minkowski vacuum from the viewpoint of inertial observers and interpret them from the perspective of Rindler observers. We show that the emission of pairs…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Juan V. O. Pêgas , Robert Bingham , Gianluca Gregori , George E. A. Matsas

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration $a$ experiences the Minkowski vacuum as a thermal state at temperature $T_U=a/(2\pi)$. An observer in uniform circular motion experiences a…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Cameron R. D. Bunney , Jorma Louko

We study successive Rindler-like transformations in Minkowski spacetime and the corresponding sequence of vacuum states perceived by observers restricted to respective wedges. Extending the standard Rindler construction to an $n$-fold…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Nitesh K. Dubey , Jaswanth Uppalapati , Sanved Kolekar

While the Unruh effect has traditionally been studied under the assumption of uniform acceleration, a simplification motivated by experimental considerations, it is not necessarily true for all non-inertial motions. We propose a novel…

General Relativity and Quantum Cosmology · Physics 2026-01-01 Manuel de Atocha Rodríguez Fernández , Alexander I. Nesterov , Gennady P. Berman , C. Moreno-González

Ultracold fermionic atoms in an optical lattice, with a sudden position-dependent change (a quench) in the effective dispersion relation, have been proposed by Rodr\'iguez-Laguna et al. as an analogue spacetime test of the Unruh effect. We…

General Relativity and Quantum Cosmology · Physics 2018-10-05 Jorma Louko

A detector undergoing a huge acceleration measures a thermal distribution with the Unruh temperature out of the Minkowski vacuum. Though such huge accelerations occur naturally in astrophysics and gravity, one may design untraintense laser…

High Energy Physics - Phenomenology · Physics 2017-12-08 Chul Min Kim , Sang Pyo Kim

We investigate the Minkowski ground state associated with a real massless scalar field as seen by an accelerated observer under the perspective of the de Broglie-Bohm quantum theory. We use the Schr\"odinger picture to obtain the wave…

High Energy Physics - Theory · Physics 2023-10-18 Matheus M. A. Paixão , Olesya Galkina , Nelson Pinto-Neto

In this work, we consider the phase-space picture of quantum mechanics. We then introduce non-negative Wigner-like (operational) distributions \widetilde{\mathcal W}_{rho;alpha}(x,p) corresponding to the density operator \hat{rho} and being…

Statistical Mechanics · Physics 2019-06-21 Ilki Kim

We consider wave packets of a massless scalar field that have well-localized Rindler energy, and examine how their energy appears to a Minkowski observer to study how the classical gravitational red-shift formula is modified quantum…

High Energy Physics - Theory · Physics 2025-09-29 Shono Shibuya , Sotaro Sugishita

The Unruh effect is a well-understood phenomenon, where one considers a vacuum state of a quantum field in Minkowski spacetime, which appears to be thermally populated for a uniformly accelerating Rindler observer. In this article, we…

High Energy Physics - Theory · Physics 2026-04-17 Akhil U Nair , Rakesh K. Jha , Prasant Samantray , Sashideep Gutti
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