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After a brief summary of Double Special Relativity (DSR), we concentrate on a five dimensional procedure, which consistently introduce coordinates and momenta in the corresponding four-dimensional phase space, via a Hamiltonian approach.…

High Energy Physics - Theory · Physics 2015-06-16 J. M. Lorenzi , R. Montemayor , L. F. Urrutia

We investigate the behaviour of quantum fields in null-shifted Rindler wedges and analyse the particle spectra perceived by accelerated observers associated with these null deformations. Unlike the standard Unruh effect, our analysis…

High Energy Physics - Theory · Physics 2026-04-17 Rakesh K Jha

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

Hawking-Unruh thermal state of warm surrounding field encountered in non-inertial frames is shown to be a real phenomenon, a marker of nonstationary dynamic evolutions. In accelerated motion of a charged particle it is shown that the…

Classical Physics · Physics 2021-02-01 D. Das

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

We study the temperatures for the circular and drifted Rindler motions by employing the Unruh-DeWitt detector method. In the circular motion, the temperature is increasing along the radius of the circular motion until it reaches the…

General Relativity and Quantum Cosmology · Physics 2018-07-02 Yongwan Gim , Hwajin Um , Wontae Kim

Due to the Unruh effect, accelerated and inertial observers differ in their description of a given quantum state. The implications of this effect are explored for the entropy assigned by such observers to localized objects that may cross…

High Energy Physics - Theory · Physics 2009-11-10 Donald Marolf , Djordje Minic , Simon Ross

The determination of velocities of stars from precise Doppler measurements is described here using relativistic theory of astronomical reference frames so as to determine the Keplerian and post-Keplerian parameters of binary systems. We…

Astrophysics · Physics 2009-10-31 S. M. Kopeikin , L. M. Ozernoy

This thesis explores the application of differential geometric and general relativistic techniques to deepen our understanding of quantum mechanical systems. We focus on three systems, employing these mathematical frameworks to uncover…

High Energy Physics - Theory · Physics 2025-02-19 Aonghus Hunter-McCabe , Brian P. Dolan , Peter Coles

We calculate the radiation resulting from the Unruh effect for strongly accelerated electrons and show that the photons are created in pairs whose polarizations are maximally entangled. Apart from the photon statistics, this quantum…

Quantum Physics · Physics 2009-11-13 Ralf Schützhold , Gernot Schaller , Dietrich Habs

First order corrections to the Unruh effect are calculated from a model of an accelerated particle detector of finite mass. We show that quantum smearing of the trajectory and large recoil essentially do not modify the Unruh effect.…

General Relativity and Quantum Cosmology · Physics 2025-10-29 B. Reznik

Acceleration radiation - or Unruh radiation - the thermal radiation observed by an ever accelerating observer or detector, although having similarities to Hawking radiation, so far has proved extremely challenging to observe experimentally.…

Quantum Physics · Physics 2020-03-05 Brian P. Dolan , Aonghus Hunter-McCabe , Jason Twamley

The modification of the quantum mechanical commutators in a relativistic theory with an invariant length scale (DSR) is identified. Two examples are discussed where a classical behavior is approached in one case when the energy approaches…

High Energy Physics - Theory · Physics 2009-11-10 J. L. Cortes , J. Gamboa

We note that Einstein's relativistic Doppler formula presents a strange aspect. For incident light received under a fixed non zero angle, the Doppler shift will change from blueshift to redshift (or vice-versa) for some critical relative…

Classical Physics · Physics 2007-05-23 Pierseaux Yves

Matter fields are supertranslated upon crossing a shock wave, which leads to entanglement of the quantum vacuum between the two regions on either side of the shock wave. We probe this entanglement for a scalar field in a planar shock wave…

High Energy Physics - Theory · Physics 2019-06-05 Geoffrey Compère , Jiang Long , Max Riegler

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

In this work, the notion of spacetime of maximal proper acceleration is motivated as a weak form to implement general covariance and a generalized form of Einstein's equivalence principle from a physical point of view and the fundamental…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Ricardo Gallego Torromé

We investigate the Unruh-Fulling effect in a class of nonlocal field theories by examining both the number operator and Unruh-DeWitt detector methods. Unlike in previous literature, we use Unruh quantization to quantize the matter field.…

High Energy Physics - Theory · Physics 2022-12-01 Ashmita Das , Bibhas Ranjan Majhi

% Doubly Special Relativity (DSR) introduces, besides the invariant speed of light $c$, an observer-independent high-energy % scale that deforms relativistic kinematics and can be implemented through modified dispersion relations or…

General Physics · Physics 2026-03-18 Abdelmalek Boumali , Nosratollah Jafari

Using the Fermat's principle in curved space-time with stationary type metric, we have obtained the speed of light as a function of spatial coordinates and hence the corresponding refractive index. The whole region with space dependent…

General Relativity and Quantum Cosmology · Physics 2015-12-15 Soma Mitra , Somenath Chakrabarty