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Related papers: Quantum Theory in Accelerated Frames of Reference

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The standard relativistic theory of accelerated reference frames in Minkowski spacetime is described. The measurements of accelerated observers are considered and the limitations of the standard theory, based on the hypothesis of locality,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bahram Mashhoon

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

The nonlocal theory of accelerated systems is extended to the propagation of Dirac particles. The implications of nonlocality for the phenomenon of spin-rotation coupling are discussed. The Lorentz-invariant nonlocal Dirac equation is…

High Energy Physics - Theory · Physics 2008-11-26 Bahram Mashhoon

The purpose of this paper is to explain clearly why nonlocality must be an essential part of the theory of relativity. In the standard local version of this theory, Lorentz invariance is extended to accelerated observers by assuming that…

General Relativity and Quantum Cosmology · Physics 2011-04-07 Bahram Mashhoon

The nonlocal theory of accelerated systems is extended to linear gravitational waves as measured by accelerated observers in Minkowski spacetime. The implications of this approach are discussed. In particular, the nonlocal modifications of…

High Energy Physics - Theory · Physics 2009-11-11 Bahram Mashhoon

The formalism of nonrelativistic quantum physics was originally considered in the context of inertial frames. Here, we report on a more general framework that includes noninertial frames and arbitrarily strong gravitational fields. We…

High Energy Physics - Theory · Physics 2024-08-13 Riccardo Falcone

Acceleration-induced nonlocality and the corresponding Lorentz-invariant nonlocal field equations of accelerated systems in Minkowski spacetime are discussed. Under physically reasonable conditions, the nonlocal equation of motion of the…

High Energy Physics - Theory · Physics 2012-05-22 C. Chicone , B. Mashhoon

The conceptual basis for the nonlocality of accelerated systems is presented. The nonlocal theory of accelerated observers and its consequences are briefly described. Nonlocal field equations are developed for the case of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Bahram Mashhoon

The measurement of an electromagnetic radiation field by a linearly accelerated observer is discussed. The nonlocality of this process is emphasized. The nonlocal theory of accelerated observers is briefly described and the consequences of…

High Energy Physics - Theory · Physics 2009-11-10 Bahram Mashhoon

After a review of the existing theory of non-inertial frames and mathematical observers in Minkowski space-time we give the explicit expression of a family of such frames obtained from the inertial ones by means of point-dependent Lorentz…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Horace W. Crater , Luca Lusanna

We demonstrate how to construct a lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories. The covariant theory that we propose employs a multi-time formalism and a…

Quantum Physics · Physics 2009-11-07 George Horton , Chris Dewdney

The hypothesis that the Lorentz transformations may be modified at Planck scale energies is further explored. We present a general formalism for theories which preserve the relativity of inertial frames with a non-linear action of the…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Joao Magueijo , Lee Smolin

Under the assumption of closed-path velocity of light invariant, we show both the general expression of velocity of light in an ordinary inertial reference frame and the generalized Lorentz transformation between the ordinary inertial…

Classical Physics · Physics 2015-06-03 Daqing Liu , Xinghua Li , Yanshen Wang

We discuss the problem of finding a Lorentz invariant extension of Bohmian mechanics. Due to the nonlocality of the theory there is (for systems of more than one particle) no obvious way to achieve such an extension. We present a model…

Quantum Physics · Physics 2008-11-26 K. Berndl , D. Duerr , S. Goldstein , N. Zanghi

The physical basis of the standard theory of general relativity is examined and a nonlocal theory of accelerated observers is described that involves a natural generalization of the hypothesis of locality. The nonlocal theory is confronted…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Bahram Mashhoon

While it has often been proposed that, fundamentally, Lorentz-invariance is not respected in a quantum theory of gravity, it has been difficult to reconcile deviations from Lorentz-invariance with quantum field theory. The most commonly…

General Relativity and Quantum Cosmology · Physics 2012-10-02 Sabine Hossenfelder

Besides the two fundamental postulates, (i) the principle of relativity and (ii) the constancy of the one-way velocity of light in all inertial frames of reference, the special theory of relativity employs another assumption. This…

High Energy Physics - Theory · Physics 2007-05-23 Jian-Miin Liu

One of the concepts of Relativity theory that challenges conventional intuition the most is time dilation and length contraction. Usual approaches for describing relativistic effects in quantum systems merely postulate the consequences of…

Quantum Physics · Physics 2024-02-27 Esteban Martínez-Vargas

We investigate the implications of energy-dependence of the speed of photons, one of the candidate effects of quantum-gravity theories that has been most studied recently, from the perspective of observations in different reference frames.…

High Energy Astrophysical Phenomena · Physics 2015-03-14 Uri Jacob , Flavio Mercati , Giovanni Amelino-Camelia , Tsvi Piran

We give a critical analysis of the conceptual foundations of special relativity. We formulate a simple operational criterion for distinguishing between noninertial and inertial frames which is introduced prior to geometry. We associate the…

General Relativity and Quantum Cosmology · Physics 2009-06-30 Andrew E. Chubykalo , Augusto Espinoza , B. P. Kosyakov
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