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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

Our recent results concerning the transformation under isometries of the conserved quantities on de Sitter manifolds, allow us to define the rest frame and study the relative geodesic motion in terms of conserved momentum, revealing thus…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Ion I. Cotaescu

The shortening of bodies in the direction of motion, Lorentz contraction, follows from the solution of Maxwell's equations. Moving light clocks will tick slower than those at rest because the speed of light does not depend on a source of…

General Physics · Physics 2008-09-24 Valery P. Dmitriyev

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

This contribution shows that the main topics of Relativity can be discussed at an elementary level and in a considerable extent - including the formal results of "Time Dilation" and "Lorentz Contraction" - by a minor modification of the…

Physics Education · Physics 2007-05-23 Roberto Assumpcao

Two thought experiments are described in which ruler measurements of spatial intervals are performed in different reference frames. They demonstrate that such intervals are frame-independent as well as independent of the nature of the…

General Physics · Physics 2013-07-31 J. H. Field

We present the special theory of relativity taking the Doppler effect as the starting point, and derive several of its main effects, such as time dilation, length contraction, addition of velocities, and the mass-energy relation, and…

Classical Physics · Physics 2009-11-11 M. Moriconi

Over the last few years the study of possible Planck-scale departures from classical Lorentz symmetry has been one of the most active areas of quantum-gravity research. We now have a satisfactory description of the fate of Lorentz symmetry…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Giovanni Amelino-Camelia

We examine a logical foundation of depicting a Lorentz contraction of a Coulomb field (an electric field of a point charge in uniform motion) by means of the 'Lorentz contracted' field lines. Two existing arguments for a contraction of…

General Physics · Physics 2025-03-14 Petar Žugec , Davor Horvatić , Ivica Smolić

Simple signal-propagation effects make receding objects seem contracted and approaching objects seem elongated. These effects are theoretically photographable, and are proportional in strength to the frequency-change in the object's emitted…

Physics Education · Physics 2007-05-23 Eric Baird

In a foregoing paper, gravity has been interpreted as the pressure force exerted on matter at the scale of elementary particles by a perfect fluid. Under the condition that Newtonian gravity must be recovered in the incompressible case, a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

In the standard formulation of the twin paradox an accelerated twin considers himself as at rest and his brother as moving. Hence, when formulating the twin paradox, one uses the general principle of relativity, i.e. that accelerated and…

General Physics · Physics 2010-02-23 Oyvind Gron

All of the experiments supporting Einstein's Special Relativity Theory are also supportive of the Lorentz ether theory, or many other ether theories. However, a growing number of experiments show deviations from Einstein's Special…

Classical Physics · Physics 2011-09-14 Victor Otto de Haan

The amazing quantum effect of `entanglement' was discovered in the 1935 thought experiment by Albert Einstein, Boris Podolsky and Nathan Rosen (`EPR'). The ensuing research opened up fundamental questions and led to experiments that proved…

Quantum Physics · Physics 2025-06-25 Roman Schnabel

This paper aims to provide teachers with a tool to teach the essential features of special relativity, considering the students' difficulties highlighted by numerous studies. Our proposal presents special relativity as the solution to the…

Physics Education · Physics 2025-06-10 Maria Grazia Blumetti , Biagio Buonaura , Giuseppe Giuliani , Marco Litterio

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

Several versions of the Gravitational Time Dilation effect of General Relativity are formulated by the use of Einstein's Equivalence Principle. It is shown that all of them are logical consequence of a first-order axiom system of Special…

General Relativity and Quantum Cosmology · Physics 2007-09-19 Judit X. Madarasz , Istvan Nemeti , Gergely Szekely

There are many papers devoted to derivation of Lorentz Transformations (LT). Many people have pro posed alternative derivations. Their analysis allows looking at LT and their consequences from different standpoints. At the same time it is…

Classical Physics · Physics 2012-08-20 E. G. Bessonov

We use experimental limits on Lorentz violation to obtain new constraints on Kaluza-Klein-type theories in which the extra dimensions may be large but do not necessarily have units of length. The associated variation in fundamental…

High Energy Physics - Phenomenology · Physics 2016-07-18 James M. Overduin , Hamna Ali

We present a simple thought experiment in which a beam of light of a finite length (a light-pulse) enters a detection device that consists of a wave detector and a light bulb. We examine the experiment from the reference frame where the…

Physics Education · Physics 2007-05-23 Aleksandar Gjurchinovski