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We present the theory of special relativity here through the lens of differential geometry. In particular, we explicitly avoid any reference to hypotheses of the form "The laws of physics take the same form in all inertial reference frames"…

History and Philosophy of Physics · Physics 2018-12-11 Amitabh Basu

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

The development of both special and general relativity is accomplished in a series of 6 papers using a simple approach. The purpose is to explain the how and why of relativity to a broad public, and to be useful for students of physics by…

Popular Physics · Physics 2020-02-28 Ralph Berger

This manuscript presents a problem on special relativity theory (SRT) which embodies an apparent paradox relying on the concept of simultaneity. The problem is represented in the framework of Greek epic poetry and structured in a didactic…

History and Philosophy of Physics · Physics 2013-10-25 Fabrice Leardini

This paper deals with the concept of simultaneity in classical and relativistic physics as construed in terms of group-invariant equivalence relations. A full examination of Newton, Galilei and Poincar\'e invariant equivalence relations in…

Mathematical Physics · Physics 2012-11-27 Marco Mamone-Capria

The concept of an objective spatial direction in special relativity is investigated and theories assuming light-speed isotropy while accepting the existence of a privileged spatial direction are classified. A natural generalization of the…

General Relativity and Quantum Cosmology · Physics 2011-06-30 Marco Mamone-Capria

A reference frame consists of: a reference space, a time scale and a spatial metric. The geometric structure induced by these objects in spacetime is developed. The existence of a class of spatial metrics that are rigid, have free mobility…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Llosa , D. Soler

In this paper the notion of the rigid frame of reference within special relativity is analysed. Three definitions of rigidity are formulated. By using several examples of non-inertial frames, it is shown that these definitions are not…

General Relativity and Quantum Cosmology · Physics 2013-06-21 S. S. Stepanov

Five topics: A rigid body does not exist in the special theory of relativity; distant simultaneity defined with respect to a given frame of reference without any reference to synchronized clocks; challenges on Einstein's connection of…

History and Philosophy of Physics · Physics 2012-05-02 Galina Weinstein

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…

Physics Education · Physics 2007-05-23 Claude Semay

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

Time-like and space-like invariant space-time intervals are used to analyse measurements of spatial and temporal distances defined by two spatially-separated clocks. The time dilatation effect is confirmed, but not `relativity of…

General Physics · Physics 2009-09-01 J. H. Field

In this paper we show how the student can be led to an understanding of the connection between special relativity and general relativity by considering the time dilation effect of clocks placed on the surface of the Earth. This paper is…

General Relativity and Quantum Cosmology · Physics 2009-11-11 S. P. Drake

Highly successful students, as measured by grades and by scores on the Force Concept Inventory, still struggle with fundamental concepts in mathematics and physics. These difficulties, which turn physics into parrot learning and include…

Physics Education · Physics 2007-05-23 Sanjoy Mahajan

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…

Classical Physics · Physics 2019-07-16 Uri Ben-Ya'acov

The conventional discussion of apparent distortions of space and time in Special Relativity (the Lorentz-Fitzgerald Contraction and Time Dilatation) is extended by considering observations of : (i) moving objects of limited lifetime in…

Popular Physics · Physics 2009-10-01 J. H. Field

This essay examines our fundamental conceptions of time, spacetime, the asymmetry of time, and the motion of a quantum mechanical particle. The concept of time has multiple meanings and these are often confused in the literature and must be…

General Relativity and Quantum Cosmology · Physics 2014-08-15 Gerald E. Marsh

For the special theory of relativity, the normalization problem is formulated as the question how observers in constant relative motion may reach an agreement on space and time scales. As the normalization problem does not receive a…

Classical Physics · Physics 2007-05-23 Franz-Guenter Winkler

Introducing Modern Physics represents an increasingly urgent need, towards which physics education concentrates many efforts. In order to contribute to this attempt, at the Department of Mathematics and Physics of Roma Tre University in…

Physics Education · Physics 2023-01-02 Adriana Postiglione , Ilaria De Angelis

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