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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

Whenever an experiment can be described classically, quantum physics must predict the same outcome. Intuitively, there is nothing quantum about an accelerating observer travelling through a vacuum. It is therefore not surprising that many…

Quantum Physics · Physics 2026-03-24 Sara Kanzi , Daniel Hodgson , Almut Beige

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

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration $a$ experiences Minkowski vacuum as a thermal state in the temperature $T_{\text{lin}} = a/(2\pi)$, operationally measurable via the detailed…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Steffen Biermann , Sebastian Erne , Cisco Gooding , Jorma Louko , Jörg Schmiedmayer , William G. Unruh , Silke Weinfurtner

A relativistic classical field theory with zero-point radiation involves a vacuum corresponding to a scale-invariant spectrum of random classical radiation in spacetime with the overall constant chosen to give an energy (1/2)\hbar\omega per…

Classical Physics · Physics 2010-11-08 Timothy H. Boyer

An atom falling freely into a Kerr black hole in a Boulware-like vacuum is shown to emit radiation with a Planck spectrum at the Hawking temperature. For a cloud of falling atoms with random initial times, the radiation is thermal. The…

General Relativity and Quantum Cosmology · Physics 2021-09-15 A. Azizi , H. E. Camblong , A. Chakraborty , C. R. Ordonez , M. O. Scully

We study memory effects as information backflow for an accelerating two-level detector weakly interacting with a scalar field in the Minkowski vacuum. This is the framework of the well-known Unruh effect: the detector behaves as if it were…

Quantum Physics · Physics 2020-02-05 Boris Sokolov , Jorma Louko , Sabrina Maniscalco , Iiro Vilja

An accelerated particle sees the Minkowski vacuum as thermally excited, and the particle moves stochastically due to an interaction with the thermal bath. This interaction fluctuates the particle's transverse momenta like the Brownian…

High Energy Physics - Theory · Physics 2015-03-17 Satoshi Iso , Yasuhiro Yamamoto , Sen Zhang

Modern data is showing increasing evidence that the Universe is accelerating. So far, all attempts to account for the acceleration have required some fundamental dimensionless quantities to be extremely small. We show how a class of scalar…

Astrophysics · Physics 2010-04-08 Andreas Albrecht , Constantinos Skordis

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

In the Unruh effect an observer with constant acceleration perceives the quantum vacuum as thermal radiation. The Unruh effect has been believed to be a pure quantum phenomenon, but here we show theoretically how the effect arises from the…

General Relativity and Quantum Cosmology · Physics 2018-08-22 Ulf Leonhardt , Itay Griniasty , Sander Wildeman , Emmanuel Fort , Mathias Fink

A proof is developed from first principles, independent of general relativity and of thermodynamics, that there exists a threshold acceleration above which radiation (real particle creation) from the vacuum must occur. The radiation is not…

General Physics · Physics 2007-05-23 John Michael Williams

The master equation describing the completely positive time evolution of a uniformly accelerated two-level system in weak interaction with a scalar field in the Minkowski vacuum is derived and explicitly solved. It encodes the well known…

Quantum Physics · Physics 2007-05-23 F. Benatti , R. Floreanini

We propose a scalar background in Minkowski spacetime imparting constant proper acceleration to a classical particle. In contrast to the case of a constant electric field the proposed scalar potential does not create particle-antiparticle…

High Energy Physics - Theory · Physics 2009-11-07 A. M. Fedotov , N. B. Narozhny , V. D. Mur , V. A. Belinski

We give a complete and rigorous proof of the Unruh effect, in the following form. We show that the state of a two-level system, uniformly accelerated with proper acceleration $a$, and coupled to a scalar bose field initially in the…

Mathematical Physics · Physics 2008-11-26 S. De Bievre , M. Merkli

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 accelerating Rindler frame in Minkowski spacetime acting for a finite time interval is used to carry a box of particles or waves between two relativistic inertial frames. The finite spatial extent of the box allows treatment of the…

Classical Physics · Physics 2026-01-19 Timothy H Boyer

A plane monochromatic wave will not appear monochromatic to a noninertial observer. We show that this feature leads to a `thermal' ambience in an accelerated frame {\it even in classical field theory}. When a real, monochromatic, mode of a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 K. Srinivasan , L. Sriramkumar , T. Padmanabhan

The core of this work is an old and broadly discussed problem of the electromagnetic radiation in the case of the hyperbolic motion. We prove that the radiation is non-zero in the lab (Minkowski) frame. Further, we attempt to understand…

General Physics · Physics 2025-02-28 D. Kalinov

Minkowski vacuum is empty from the perspective of Unruh-Minkowski photons, however, in the Rindler picture, it is filled with entangled pairs of Rindler photons. A ground-state atom uniformly accelerated through Minkowski vacuum can become…

Quantum Physics · Physics 2026-03-31 Anatoly A. Svidzinsky , Marlan O. Scully , William Unruh