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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…

广义相对论与量子宇宙学 · 物理学 2011-04-07 Bahram 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…

高能物理 - 理论 · 物理学 2012-05-22 C. Chicone , B. Mashhoon

It is generally assumed that the retarded Lienard-Wiechert electromagnetic field produced by a point particle depends on the acceleration of that source particle. This dependence is not real, it is an illusion. The true electromagnetic…

经典物理 · 物理学 2025-09-12 Calin Galeriu

The aim of this paper is to investigate the fundamental problems of retardation and radiation caused by non-uniformly moving point sources using the theories of electrodynamics and elastodynamics. This paper investigates and compares the…

经典物理 · 物理学 2013-06-03 Markus Lazar

We solve the linearized Einstein equations for a specific oscillating mass distribution and discuss the usual counterarguments against the existence of observable gravitational retardations in the "near zone", where d/r << 1 (d =…

广义相对论与量子宇宙学 · 物理学 2008-02-03 Thomas Chen , William D. Walker , Jurg Dual

Free massless fields of any spin in flat D-dimensional spacetime propagate at the speed of light. But the retarded fields produced by the corresponding point-like moving sources share this property only for even D. Since the Green's…

广义相对论与量子宇宙学 · 物理学 2021-09-24 D. V. Gal'tsov , M. Khlopunov

The perturbative approach to quantum field theory using retarded functions is extended to noncommutative theories. Unitarity as well as quantized equations of motion are studied and seen to cause problems in the case of space-time…

高能物理 - 理论 · 物理学 2009-11-10 Tobias Reichenbach

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…

广义相对论与量子宇宙学 · 物理学 2009-11-18 Bahram Mashhoon

The retarded Green function for linear field perturbations of black hole spacetimes is notoriously difficult to calculate. One of the difficulties is due to a Dirac-$\delta$ divergence that the Green function possesses when the two…

广义相对论与量子宇宙学 · 物理学 2019-11-27 Marc Casals , Brien C. Nolan , Adrian C. Ottewill , Barry Wardell

The scalar and electromagnetic fields produced by the geodesic and uniformly accelerated discrete charges in de Sitter spacetime are constructed by employing the conformal relation between de Sitter and Minkowski space. A special attention…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Jiri Bicak , Pavel Krtous

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…

高能物理 - 理论 · 物理学 2008-11-26 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…

高能物理 - 理论 · 物理学 2011-04-11 Bahram Mashhoon

In a recent paper (Phys. Rev. D78, 084031 (2008), arXiv:0808.0642, Ref. [1]) it was shown in examples that the covariant retarded Green's functions in particular gauges for electromagnetism and linearized gravity can be used to reproduce…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Atsushi Higuchi , Yen Cheong Lee , Jack R. Nicholas

We consider the retarded solution to the scalar, electromagnetic, and linearized gravitational field equations in Minkowski spacetime, with source given by a particle moving on a null geodesic. In the scalar case and in the Lorenz gauge in…

广义相对论与量子宇宙学 · 物理学 2015-06-18 Alexander Tolish , Robert M. Wald

We investigate the coupling of the electromagnetic sources (charge and current densities) to the scalar and vector potentials in classical electrodynamics, using Green function techniques. As is well known, the scalar potential shows an…

经典物理 · 物理学 2015-08-17 B. J. Wundt , U. D. Jentschura

The current interest in laboratory detection of entanglement mediated by gravity was sparked by an information--theoretic argument: entanglement mediated by a local field certifies that the field is not classical. Previous derivations of…

Nonlocal constants are functions that are constant along motion but whose value depends on the past history of the motion itself. They are a powerful tool to provide first integrals in classical mechanics and, in this respect, a new…

数学物理 · 物理学 2022-08-10 Mattia Scomparin

The scalar and electromagnetic fields of charges uniformly accelerated in de Sitter spacetime are constructed. They represent the generalization of the Born solutions describing fields of two particles with hyperbolic motion in flat…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Jiri Bicak , Pavel Krtous

We demonstrate in examples that the covariant retarded Green's functions in electromagnetism and linearized gravity work as expected in de Sitter spacetime. We first clarify how retarded Green's functions should be used in spacetimes with…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Atsushi Higuchi , Yen Cheong Lee

We recast into histories-based form a quantum field theory defined earlier in operator language for a free scalar field on a background causal set. The resulting decoherence-functional resembles that of the continuum theory. The counterpart…

广义相对论与量子宇宙学 · 物理学 2017-02-07 Rafael D. Sorkin
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