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The principles of the special theory of relativity are extremely simple. A knowledge of the Pythagorean theorem and an ability to perform the simplest algebraic operations are sufficient to be conversant with the kinematics of the special…

General Physics · Physics 2012-01-10 V. N. Matveev , O. V. Matvejev

The conventional nature of synchronisation is discussed in inertial frames, where it is found that theories using different synchronisations are experimentally equivalent to special relativity. In contrary, in accelerated systems only a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Francois Goy

We compare the results obtained by interpreting some fundamental relativistic experiments from the point of view of two alternative theories: Einstein's special relativity theory and the Lorentz-Poincare theory admitting the existence of a…

General Physics · Physics 2008-12-02 Bernhard Rothenstein , Stefan Popescu , George J. Spix

Doppler effect and Hubble effect in different models of space-time in the case of auto-parallel motion of the observer are considered. The Doppler effect and shift frequency parameter are specialized for the case of auto-parallel motion of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sawa Manoff

Simple physical models of a measuring rod and of a clock are used to demonstrate the contraction of objects and clock retardation in special relativity. It is argued that the models could help in promoting student understanding of special…

Classical Physics · Physics 2015-05-13 D. J. Miller

The uniformly accelerated reference frame described by Hamilton, Desloge and Philpott involves the observers who perform the hyperbolic motion with constant proper acceleration gi. They start to move from different distances measured from…

General Physics · Physics 2007-05-23 Bernhard Rothenstein , Stefan Popescu

This paper shows as the relativistic Doppler effect can be extended also to time and space associated to moving bodies. This extension derives from the analysis of the wave-fronts of the light emitted by a moving source in inertial motion…

General Physics · Physics 2012-08-31 Giovanni Zanella

After having identified all the possible relationships between the electric field and the magnetic field in a given inertial reference frame we derive the transformation equations for the components of these fields. Special relativity is…

General Physics · Physics 2007-10-17 Bernhard Rothenstein , Stefan Popescu

Special relativity turns out to be more than coordinate transformations in which the constancy of the speed of light plays the central role between two inertial reference frames. Special relativity, in essence, is a theory of…

General Physics · Physics 2007-06-13 M. Sultan Parvez

We study the orbits of two interacting particles described by a fully relativistic classical mechanical Hamiltonian. We use two sets of initial conditions. In the first set (dynamics 1) the system's center of mass is at rest. In the second…

General Relativity and Quantum Cosmology · Physics 2015-06-15 B. T. Shields , M. C. Morris , M. R. Ware , Q. Su , E. V. Stefanovich , R. Grobe

Special relativity is reformulated as a symmetry property of space-time: Space-Time Exchange Invariance. The additional hypothesis of spatial homogeneity is then sufficient to derive the Lorentz transformation without reference to the…

Classical Physics · Physics 2009-11-06 J. H. Field

This tutorial, addressing physics teachers and undergraduate students, aims at clarifying some aspects of time in special relativity. In particular, time dilation is usually presented only as the well-known ratio of lab time over proper…

Physics Education · Physics 2023-06-19 Winfried A. Mitaroff

Double Special Relativity theories are the relativistic theories in which the transformations between inertial observers are characterized by two observer-independent scales of the light speed and the Planck length. We study two main…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Nosratollah Jafari , Ahmad Shariati

The clock time t' of an accelerating observer, simultaneous with the measured clock time t of an inertial observer,is easily established in special relativity (as proper time) by the well-known time-dilation formula for t'(t). In this work,…

General Relativity and Quantum Cosmology · Physics 2019-08-27 David A. de Wolf

This work deals with the questions of absolute space and relativity. In particular, an alternative derivation of the effects described by special relativity is provided, which is based on a description that assumes a privileged reference…

Physics Education · Physics 2007-05-23 Vasco Guerra , Rodrigo de Abreu

By associating a binary signal with the relativistic worldline of a particle, a binary form of the phase of non-relativistic wavefunctions is naturally produced by time dilation. An analog of superposition also appears as a Lorentz…

Quantum Physics · Physics 2017-09-08 G. N. Ord

In this paper I argue for a reassessment of special relativity. The fundamental theory of relativity applicable in this Universe has to be consistent with the existence of the massive Universe, and with the effects of its gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. S. Unnikrishnan

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…

Classical Physics · Physics 2015-07-01 D. V. Redzic

The special theory of relativity teaches us that, although distinct inertial frames perceive the same dynamical laws, space and time intervals differ in value. We revisit the problem of time contraction using the paradigmatic model of a…

Quantum Physics · Physics 2020-05-21 Matheus Fritsch Savi , Renato Moreira Angelo

The special relativistic test theory of Mansouri and Sexl is sketched. Theories based on different clock synchronisations are found to be equivalent to special relativity, as regards experimental results. The conventionality of clock…

General Relativity and Quantum Cosmology · Physics 2007-05-23 François Goy