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A nonrelativistic particle released from rest at the edge of a ball of uniform charge density or mass density oscillates with simple harmonic motion. We consider the relativistic generalizations of these situations where the particle can…

广义相对论与量子宇宙学 · 物理学 2017-07-25 Edward Parker

The possibility of having an extension of the cosmological standard model with a Hubble expansion rate $H$ constrained to a finite interval is considered. Two periods of accelerated expansion arise naturally when the Hubble expansion rate…

天体物理学 · 物理学 2010-04-14 J. L. Cortes , J. Indurain

We investigate the possible structures of numbers (as physical quantities) over which accelerated observers can be modeled in special relativity. We present a general axiomatic theory of accelerated observers which has a model over every…

逻辑 · 数学 2018-10-10 Gergely Székely

New varying speed of light (VSL) theories as alternatives to the inflationary model of the universe are discussed and evidence for a varying speed of light reviewed. Work linked with VSL but primarily concerned with deriving Planck's black…

综合物理 · 物理学 2007-05-23 Daniel J. Farrell , J. Dunning-Davies

This paper discusses the leading-order correction induced by cosmological perturbations on the average expansion rate of an expanding spacetime, containing one or many perfect fluids. The calculation is carried out up to the second order in…

广义相对论与量子宇宙学 · 物理学 2023-04-28 Vincent Comeau

Relativistic modelling of rotational motion of extended bodies represents one of the most complicated problems of Applied Relativity. The relativistic reference systems of IAU (2000) give a suitable theoretical framework for such a…

地球与行星天体物理 · 物理学 2015-05-14 S. A. Klioner , E. Gerlach , M. H. Soffel

Separate constituents of extended systems measure proper-times on different world-lines. Relating and comparing proper-time measurements along any two such world-lines requires that common simultaneity be possible, which in turn implies…

经典物理 · 物理学 2019-07-16 Uri Ben-Ya'acov

For simple electromagnetic models of a rod and a clock, a change of the shape of the rod and of the rate of the clock when they are set in uniform motion is calculated exactly, employing the correct equation of motion of a charged particle…

经典物理 · 物理学 2015-07-01 D. V. Redzic

We show that starting with the fact that special relativity theory is concerned with a distortion of the observed length of a moving rod, without mentioning if it is a "contraction" or "dilation", we can derive the Lorentz transformations…

综合物理 · 物理学 2007-09-24 Bernhard Rothenstein , Stefan Popescu

This is an English translation of the Italian version of an encyclopedia chapter that appeared in the Italian Encyclopedia of the Physical Sciences, edited by Bruno Bertotti (1994). Following requests from colleagues we have decided to make…

物理学史与哲学 · 物理学 2015-09-07 V. Canuto , I. Goldman

Recent observations of distant supernovae imply, in defiance of expectations, that the universe growth is accelerating, contrary to what has always been assumed that the expansion is slowing down due to gravity. In this paper a…

天体物理学 · 物理学 2007-05-23 M. Carmeli , S. Behar

We investigate the kinematics of the motion of an observer with constant proper acceleration (relativistic hyperbolic motion) in 1+1 and 1+3 dimensional Minkowski spacetimes. We provide explicit formulas for all the kinematic quantities up…

广义相对论与量子宇宙学 · 物理学 2022-11-03 Ivan Perez-Roman , Haret C. Rosu

In this work, we use real quaternions and the basic concept of the final speed of light in an attempt to enhance the standard description of special relativity. First, we demonstrate that it is possible to introduce a quaternion time domain…

综合物理 · 物理学 2018-01-11 Viktor Ariel

The extremely high precision of current astronomical observations demands a much better theoretical treatment of relativistic effects in the propagation of electromagnetic signals through variable gravitational fields of isolated…

广义相对论与量子宇宙学 · 物理学 2014-08-19 Sergei Kopeikin , Pavel Korobkov

In this work, the relativistic phenomena of Lorentz-Fitzgerald contraction and time dilation are derived using a modified distance formula that is appropriate for discrete space. This new distance formula is different than the Pythagorean…

综合物理 · 物理学 2018-10-03 David Crouse , Joseph Skufca

Relying on the equivalence principle, a first approach of the general theory of relativity is presented using the spacetime metric of an observer with a constant proper acceleration. Within this non inertial frame, the equation of motion of…

物理教育 · 物理学 2007-05-23 Claude Semay

It is argued that the `perspectival change' of a physical object in special relativity may be given a natural dynamical explanation in terms of a change in the object under the action of certain forces in a rest properties-preserving way.

综合物理 · 物理学 2010-10-20 Dragan V Redzic

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…

广义相对论与量子宇宙学 · 物理学 2017-09-27 Bahram Mashhoon , Uwe Muench

Herein, we present a canonical form for a natural and necessary generalization of the Lambert W function, natural in that it requires minimal mathematical definitions for this generalization, and necessary in that it provides a means of…

数学物理 · 物理学 2007-05-23 Tony C. Scott , Robert B. Mann

In a previous work we have shown that the null result of the Michelson-Morley experiment in vacuum is deeply connected with the notion of time. The same is true for the the postulate of constancy of the two-way speed of light in vacuum in…

物理教育 · 物理学 2007-05-23 Rodrigo de Abreu , Vasco Guerra