Special relativity (alternative formulations)

About: Special relativity (alternative formulations) is a research topic. Over the lifetime, 3102 publications have been published within this topic receiving 55015 citations.

Special Relativity in Week One: 2) All Clocks Run Slow

Abstract: In our initial article on teaching special relativity in the first week of an introductory physics course, we used the principle of relativity and Maxwell's theory of light to derive Einstein's second postulate (that the speed of light is the same to all observers).1 In this paper we study thought experiments involving a light pulse clock moving past us with uniform motion at a speed v. Using Einstein's second postulate and the Pythagorean theorem, we see that the light pulse clock runs slow by a factor √1 − v2/c2. We then show that it is a direct consequence of the principle of relativity that all clocks moving by us the same way run slow by precisely the same factor.

Four-dimensional symmetry from a broad viewpoint. IV: Covariant statistical mechanics with common time

Abstract: Pour vaincre certaines difficultes dans la generalisation relativiste de la mecanique statistique, on formule une mecanique statistique a 4 dimensions

The Group of Large Diffeomorphisms in General Relativity

Abstract: We investigate the mapping class groups of diffeomorphisms fixing a frame at a point for general classes of 3-manifolds. These groups form the equivalent to the groups of large gauge transformations in Yang-Mills theories. They are also isomorphic to the fundamental groups of the spaces of 3-metrics modulo diffeomorphisms, which are the analogues in General Relativity to gauge-orbit spaces in gauge theories.