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Real Time Relativity is a computer program that lets students fly at relativistic speeds though a simulated world populated with planets, clocks, and buildings. The counterintuitive and spectacular optical effects of relativity are…

Physics Education · Physics 2011-11-10 C. M. Savage , A. Searle , L. McCalman

A partially alternative derivation of the expression for the time dilation effect in a uniform static gravitational field is obtained by means of a thought experiment in which rates of clocks at rest at different heights are compared using…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marco Alberici

A nomenclature for inertial frames and a notation for space and time coordinates is proposed to give an unambigous description of space-time experiments in special relativity. Of particular importance are the concepts of `base' and…

General Physics · Physics 2011-11-08 J. H. Field

Special relativity is foundation of many branches of modern physics, of which theoretical results are far beyond our daily experience and hard to realized in kinematic experiments. However, its outcomes could be demonstrated by making use…

Quantum Physics · Physics 2019-04-18 Da-Bao Yang , Yan Li , Fu-Lin Zhang , Jing-Ling Chen

Doubly special relativity has been studied for the last twenty years as a way to go beyond the special relativistic kinematics, trying to capture residual effects of a quantum gravity theory. In particular, in doubly special relativity the…

General Relativity and Quantum Cosmology · Physics 2022-07-19 J. J. Relancio

This contribution adds to the points on the <indeterminacy of special relativity> made by De Abreu and Guerra. We show that the Lorentz Transformation can be composed by the physical observations made in a frame K of events in a frame…

Classical Physics · Physics 2009-11-13 Chandru Iyer

We present a didactic derivation of the special theory of relativity in which Lorentz transformations are `discovered' as symmetry transformations of the Klein-Gordon equation. The interpretation of Lorentz boosts as transformations to…

Classical Physics · Physics 2014-08-01 H. Arodź

An intervening galaxy acts as a gravitational lens and produces multiple images of a single source such as a remote galaxy. Galaxies have peculiar speeds in addition to the bulk motion arising due to the expansion of the universe. There is…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-23 Gihan Weerasekara , Thulsi Wickramasinghe , Chandana Jayaratne

Special Relativity (SR) determines the properties of synchrotron radiation, but the corresponding mechanisms are frequently misunderstood. Time dilation is often invoked among the causes, whereas its role would violate the principles of SR.…

General Physics · Physics 2017-07-04 G. Margaritondo , J. Rafelski

This paper, which is meant to be a tribute to Minkowski's geometrical insight, rests on the idea that the basic observed symmetries of spacetime homogeneity and of isotropy of space, which are displayed by the spacetime manifold in the…

General Relativity and Quantum Cosmology · Physics 2009-11-13 S. Cacciatori , V. Gorini , A. Kamenshchik

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

We take causality and uniqueness of events observation as our driving forces. They are built in in the way we define distinct observers, which then require a finite time to communicate between each other. This unavoidably leads to the…

General Physics · Physics 2026-04-09 Antonio Pineda

There are two major alternatives for violating the (usual) Lorentz invariance at large (Planckian) energies or momenta - either not all inertial frames (in the Planck regime) are equivalent (e.g., there is an effectively preferred frame) or…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. Schützhold , W. G. Unruh

Many condensed matter systems are such that their collective excitations at low energies can be described by fields satisfying equations of motion formally indistinguishable from those of relativistic field theory. The finite speed of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carlos Barcelo , Gil Jannes

We describe the Doppler effect between equally accelerated light source and observer under the special relativity. The proper accelerations are constant and parallel. An English version is available by request. - - - - - - - - - - - Ni…

General Physics · Physics 2008-02-27 F. M. Paiva , A. F. F. Teixeira

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

I propose a general class of space-times whose structure is governed by observer-independent scales of both velocity ($c$) and length (Planck length), and I observe that these space-times can naturally host a modification of…

High Energy Physics - Theory · Physics 2009-10-31 Giovanni Amelino-Camelia

The importance of a teaching a clear definition of the ``observer'' in special relativity is highlighted using a simple astrophysical example from the exciting current research area of ``Gamma-Ray Burst'' astrophysics. The example shows…

Physics Education · Physics 2009-10-30 Eric G. Blackman

We develop a relativistic treatment of interference between light reflected from a falling cube retroreflector in the vertical arm of an interferometer, and light in a reference beam in the horizontal arm. Coordinates that are nearly…

Geophysics · Physics 2018-01-17 Neil Ashby

When applied to some models of noncommutative geometry, the formalism of relative locality predicts the occurrence of a delay in the time of arrival of massless particle of different energies emitted by a distant observer. In this letter,…

High Energy Physics - Theory · Physics 2017-04-26 S. Mignemi , A. samsarov