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.

Bearing of Recent Experiments on the Special and General Theories of Relativity

Abstract: IN a recent communication Dr. L. Essen1 concluded that special relativity cannot be applied to a rotating system. Jennison2 and Synge3 have previously treated the problem considered by Essen and have shown it to be consistent with special relativity. As the application of special relativity in this context is of considerable importance and in order to clarify its correct application the following points should be noted.

Logical analysis of relativity theories

Abstract: In this paper we try to give a small sample illustrating the approach of Andreka et al. [2],[5],[21]–[24] to a logical analysis of relativity theory conducted purely in first-order logic, FOL. We stick with FOL for methodological reasons. Here we first concentrate on special relativity, but in [22],[2],[5],[24] steps are made in the direction of generalizing this FOL-approach towards general relativity. We discuss that direction in the second half of this introduction. In [5] we build up variants of relativity theory as “competing” axiom systems formalized in FOL. The reason for having several versions for the theory, i.e. several axiom systems, is that this way we can study the consequences of the various axioms, enabling us to find out which axiom is responsible for what interesting or “exotic” prediction of relativity theory. Among others, this enables us to refine the conceptual analysis of relativity in Friedman [12] and Rindler [28], or compare the Reichenbach-GrunbaumSalmon approach to relativity (cf. [31] or [12]) with the standard one. Later we will refer to the just indicated “several competing axiom systems” feature of our theory as flexibility feature or modularity feature. One of our FOL axiom systems will be called Specrel. We will see that Specrel is a faithful, streamlined FOL axiomatization of (the kinematics of)

A New Approach to General Relativity

Abstract: Relativity The General Theory By J L Synge (Series in Physics) Pp xv + 505 (Amsterdam: North-Holland Publishing Company; New York: Interscience Publishers, Inc, 1960) 110s

Tests of Lorentz Invariance

Abstract: Tests of Lorentz invariance have been performed in wide variety of fields since Einstein’s special relativity was formulated more than 100 years ago. In this chapter, we will review previous tests of Lorentz invariance, particularly in the field of electrodynamics. Firstly, Sect. 2.1 introduces test theories of special relativity and Lorentz invariance, which parameterize possible Lorentz violation. Section 2.2 reviews previous tests of the constancy of the speed of light and shows current upper limits on Lorentz violation. Section 2.3 describes the purpose and the scope of our experiment.

Doubly special relativity in de Sitter spacetime

Abstract: We discuss the generalization of Doubly Special Relativity to a curved de Sitter background. The model has three observer-independent scales, the velocity of light $c$, the radius of curvature of the geometry $\alpha$, and the Planck energy $\kappa$, and can be realized in a noncommutative position space. It is possible to construct a model exhibiting a duality for the interchange of positions and momenta together with the exchange of $\alpha$ and $\kappa$.