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Realization of indefinite causal order (ICO), a theoretical possibility that even causal relations between physical events can be subjected to quantum superposition, apart from its general significance for the fundamental physics research,…

Static observers in curved spacetimes may interpret their proper acceleration as the opposite of a local gravitational field (in the Newtonian sense). Based on this interpretation and motivated by the equivalence principle, we are led to…

General Relativity and Quantum Cosmology · Physics 2015-05-18 F. Dahia , P. J. Felix da Silva

Treating the two-dimensional Minkowski space as a Wick rotated version of the complex plane, we characterize the causal automorphisms in two-dimensional Minkowski space as the M\"{a}rzke-Wheeler maps of a certain class of observers. We also…

Mathematical Physics · Physics 2015-06-15 Juan Manuel Burgos

One of the striking features of QED is that charged particles create a coherent cloud of photons. The resultant coherent state vectors of photons generate a non-trivial representation of the localized algebra of observables that do not…

High Energy Physics - Theory · Physics 2017-11-15 M. Asorey , A. P. Balachandran , G. Marmo , A. R. de Queiroz

The construction of a radar coordinate system about the world line of an observer is discussed. Radar coordinates for a hyperbolic observer as well as a uniformly rotating observer are described in detail. The utility of the notion of radar…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Donato Bini , Luca Lusanna , Bahram Mashhoon

A Reference is corrected. (We derive the Fermi coordinate system of an observer in arbitrary motion in an arbitrary weak gravitational field valid to all orders in the geodesic distance from the worldline of the observer. In flat space-time…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Karl-Peter Marzlin

In the special theory of relativity, Lorentz invariance is extended in Minkowski spacetime from ideal inertial observers to actual observers by means of the hypothesis of locality, which postulates that accelerated observers are always…

General Relativity and Quantum Cosmology · Physics 2009-11-18 Bahram Mashhoon

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

The Minkowski vacuum $|0\rangle_M$, which for an inertial observer is devoid of particles, is treated as a thermal bath by Rindler observers living in a single Rindler wedge, as a result of the discrepancy in the definition of positive…

Quantum Physics · Physics 2022-05-26 L. Pipolo de Gioia , M. C. de Oliveira

It is well known that observers will be accelerated when they approach the planets. Thus, discussing the properties of accelerating observers in the Schwarzschild space is of sense. For the sake of simplicity, we can construct these…

General Relativity and Quantum Cosmology · Physics 2009-03-04 Yapeng Hu , Guihua Tian , Zheng Zhao

In Minkowski space, an accelerated reference frame may be defined as one that is related to an inertial frame by a sequence of instantaneous Lorentz transformations. Such an accelerated observer sees a causal horizon, and the quantum vacuum…

High Energy Physics - Theory · Physics 2014-11-21 Nirmalendu Acharyya , Sachindeo Vaidya

Although the quantization of relativistic systems in a proper-time framework gives new insights concerning the understanding of the so-called localization problem, classical observers cannot be treated as quantum comoving frames and real…

Quantum Physics · Physics 2021-07-27 E. R. F. Taillebois , A. T. Avelar

We study the limits to the localizability of events and reference frames in the $\kappa$-Minkowski quantum spacetime. Our main tool will be a representation of the $\kappa$-Minkowski commutation relations between coordinates, and the…

High Energy Physics - Theory · Physics 2019-04-17 Fedele Lizzi , Mattia Manfredonia , Flavio Mercati , Timothé Poulain

Characteristics of observers in relativity theory are critically examined. For field measurements in Minkowski spacetime, the Bohr-Rosenfeld principle implies that the connection between actual (i.e., noninertial) and inertial observers…

General Relativity and Quantum Cosmology · Physics 2015-06-12 B. Mashhoon

We have analyzed the Unruh problem in the frame of quantum field theory and have shown that the Unruh quantization scheme is valid in the double Rindler wedge rather than in Minkowski spacetime. The double Rindler wedge is composed of two…

High Energy Physics - Theory · Physics 2009-10-31 N. B. Narozhny , A. M. Fedotov , B. M. Karnakov , V. D. Mur , V. A. Belinskii

It is argued that the Rindler quantization is not a correct approach to study the effects of acceleration on quantum fields. First, the "particle"-detector approach based on the Minkowski quantization is not equivalent to the approach based…

General Relativity and Quantum Cosmology · Physics 2014-11-17 H. Nikolic

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

We show that relativistic rotation transformations represent transfer maps between the laboratory system and a local observer on an observer manifold, rather than an event manifold, in the spirit of C-equivalence. Rotation is, therefore,…

General Mathematics · Mathematics 2024-04-10 Satyanad Kichenassamy

Unruh-DeWitt detectors interacting locally with a quantum field are systems under consideration for relativistic quantum information processing. In most works, the detectors are assumed to be point-like and, therefore, couple with the same…

Quantum Physics · Physics 2014-05-05 Antony R. Lee , Ivette Fuentes

We consider a point-like observer that moves in a medium illuminated by noise sources with Lorentz-invariant spectrum. We show that the autocorrelation function of the signal recorded by the observer allows it to perceive its environment.…

Analysis of PDEs · Mathematics 2019-11-19 Mathias Fink , Josselin Garnier