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We discuss a superluminal unphysical motion which, we believe, has a high pedagogical potential. It highlights the physics behind the concept of simultaneity in special relativity and illustrates the non-physical character of superluminal…

General Physics · Physics 2007-08-01 Nilton Penha , Bernhard Rothenstein

In quantum theory, the curved spacetime of Einstein's general theory of relativity acts as a dispersive optical medium for the propagation of light. Gravitational rainbows and birefringence replace the classical picture of light rays…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Graham M Shore

The question of whether it is possible or not to surpass the speed of light is already centennial. The special theory of relativity took the existence of a speed limit as a principle, the light postulate, which has proven to be enormously…

General Relativity and Quantum Cosmology · Physics 2010-01-29 Carlos Barceló , Stefano Finazzi , Stefano Liberati

In modern physics only relative quantities are considered to have physical significance. For example, position assigned to a system depends on the choice of coordinates, and only relative distances between different systems have physical…

Quantum Physics · Physics 2018-09-14 Magdalena Zych , Fabio Costa , Timothy C. Ralph

Through a new interpretation of Special Theory of Relativity and with a model given for physical space, we can find a way to understand the basic principles of Quantum Mechanics consistently from Classical Theory. It is supposed that…

Quantum Physics · Physics 2009-09-25 Kiyoung Kim

A well-recognised open conceptual problem in relativistic quantum field theory concerns the relation between measurement and causality. Naive generalisations of quantum measurement rules can allow for superluminal signalling ('impossible…

Quantum Physics · Physics 2021-04-27 Henning Bostelmann , Christopher J. Fewster , Maximilian H. Ruep

Quantum gravity places entirely new challenges on the formulation of a consistent theory as well as on an extraction of potentially observable effects. Quantum corrections due to the gravitational field are commonly expected to be tiny…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald

The new results by OPERA collaboration claim the discovery of superluminal neutrinos. Superluminal particles have to break Lorentzian symmetry or causality principle. The method discussed gives us the possibility to reintroduce Lorentzian…

High Energy Physics - Phenomenology · Physics 2012-02-21 Mikhail G. Ivanov

We show that if one starts with a Universe with some matter and a cosmological constant, then quantum mechanics naturally induces an attractive gravitational potential and an effective Newton's coupling. Thus gravity is an emergent…

General Relativity and Quantum Cosmology · Physics 2022-01-26 Saurya Das , Sourav Sur

We prove that the classical Dirac equation in the presence of an external (nondynamical) electromagnetic field is a relativistically causal theory. As a corollary, we show that it is impossible to use quantum tunneling to transmit particles…

Quantum Physics · Physics 2023-03-14 Lorenzo Gavassino , Marcelo M. Disconzi

One classical theory, as determined by an equation of motion or set of classical trajectories, can correspond to many unitarily {\em in}equivalent quantum theories upon canonical quantization. This arises from a remarkable ambiguity, not…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ian Redmount , Wai-Mo Suen , Kenneth Young

Under the principle that quantum mechanical observables are invariant under relevant symmetry transformations, we explore how the usual, non-invariant quantities may capture measurement statistics. Using a relativisation mapping, viewed as…

Quantum Physics · Physics 2017-04-05 Leon Loveridge , Paul Busch , Takayuki Miyadera

This essay is an attempted to address, from a modern perspective, the motion of a particle. Quantum mechanically, motion consists of a series of localizations due to repeated interactions that, taken close to the limit of the continuum,…

General Physics · Physics 2015-05-14 Gerald E. Marsh

We develop an extension of special relativity in $1+3$ dimensional spacetime to account for superluminal inertial observers and show that such an extension rules out the conventional dynamics of mechanical point-like particles and forces…

General Physics · Physics 2023-01-05 Andrzej Dragan , Kacper Dębski , Szymon Charzyński , Krzysztof Turzyński , Artur Ekert

We consider a relativistic charged particle in background electromagnetic fields depending on both space and time. We identify which symmetries of the fields automatically generate integrals (conserved quantities) of the charge motion,…

Mathematical Physics · Physics 2017-09-13 Tom Heinzl , Anton Ilderton

The relativistic conception of space and time is challenged by the quantum nature of physical observables. It has been known for a long time that Poincar\'e symmetry of field theory can be extended to the larger conformal symmetry. We use…

Quantum Physics · Physics 2013-02-27 Marc-Thierry Jaekel , Serge Reynaud

Handling substance-like physical quantities in the limits of special relativity theory we should make a net distinction between those which present a proper (rest) magnitude and those which have not. We show how the theory relates them via…

General Physics · Physics 2008-12-04 Bernhard Rothenstein

A scenario is outlined for quantum measurement, assuming that self-sustaining classicality is the consequence of an attractive gravitational self-interaction acting on massive bodies, and randomness arises already in the classical domain. A…

Quantum Physics · Physics 2007-05-23 Tamás Geszti

This paper shall define and discuss two types of quantum process - Disentangling and Entangling. The first type will be shown to contradict Unitarity and is therefore ruled out as a possible signalling process within standard linear Quantum…

Quantum Physics · Physics 2007-05-23 Alex Malikotsinas

The canonical commutation relations of quantum field theory require all pairs of observables located in spacelike-separated regions to commute. In the theory as it is currently constituted, this implies that the information-carrying…

Quantum Physics · Physics 2007-05-23 David Deutsch