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Related papers: Acceleration-Induced Nonlocality

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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 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 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

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 observational basis of quantum theory in accelerated systems is studied. The extension of Lorentz invariance to accelerated systems via the hypothesis of locality is discussed and the limitations of this hypothesis are pointed out. The…

High Energy Physics - Theory · Physics 2011-04-11 Bahram Mashhoon

We investigate the limitations of length measurements by accelerated observers in Minkowski spacetime brought about via the hypothesis of locality, namely, the assumption that an accelerated observer at each instant is equivalent to an…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Bahram Mashhoon , Uwe Muench

According to the locality postulate of special relativity, the measurements of physical fields by accelerated observers at a given event in Minkowski spacetime are related to each other by the representations of the Lorentz group. Nonlocal…

General Relativity and Quantum Cosmology · Physics 2022-06-15 Bahram 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

We discuss two nonlocal models of electrodynamics in which the nonlocality is induced by the acceleration of the observer. Such an observer actually measures an electromagnetic field that exhibits persistent memory effects. We compare…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Uwe Muench , Friedrich W. Hehl , 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

The characteristics of the memory of accelerated motion in Minkowski spacetime are discussed within the framework of the nonlocal theory of accelerated observers. Two types of memory are distinguished: kinetic and dynamic. We show that only…

General Relativity and Quantum Cosmology · Physics 2017-09-27 C. Chicone , B. Mashhoon

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

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

The basic physical structure of the relativistic theory of gravitation is discussed. The significant role that the Hypothesis of Locality plays in relativity theory is elucidated via the phenomenon of spin-rotation coupling. The limitations…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Bahram Mashhoon

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

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 acceleration transformations form a 4-parameter Abelian subgroup of the conformal group of Minkowski spacetime. The passive interpretation of acceleration transformations leads to a congruence of uniformly accelerated observers in…

General Relativity and Quantum Cosmology · Physics 2019-08-05 Bahram Mashhoon

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

Acceleration-induced nonlocality is discussed and a simple field theory of nonlocal electrodynamics is developed. The theory involves a pair of real parameters that are to be determined from observation. The implications of this theory for…

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

The hypothesis of locality, its origin and consequences are discussed. This supposition is necessary for establishing the local spacetime frame of accelerated observers; in this connection, the measurement of length in a rotating system is…

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