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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.


Papers
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Proceedings ArticleDOI
03 Dec 2007
TL;DR: In this paper, the kinematics of a spinless particle in a de Sitter spacetime are studied. And the geodesics of this spacetime, the ensuing definitions of canonical momenta, and explore possible implications for quantum mechanics.
Abstract: In the presence of a cosmological constant, interpreted as a purely geometric entity, absence of matter is represented by a de Sitter spacetime. As a consequence, ordinary Poincare special relativity is no longer valid and must be replaced by a de Sitter special relativity. By considering the kinematics of a spinless particle in a de Sitter spacetime, we study the geodesics of this spacetime, the ensuing definitions of canonical momenta, and explore possible implications for quantum mechanics.

14 citations

Book ChapterDOI
TL;DR: A new approach to the dynamics of the universe based on work by O Murchadha, Foster, Anderson and the author is presented in this article, where the only kinematics presupposed is the spatial geometry needed to define configuration spaces in purely relational terms.
Abstract: A new approach to the dynamics of the universe based on work by O Murchadha, Foster, Anderson and the author is presented. The only kinematics presupposed is the spatial geometry needed to define configuration spaces in purely relational terms. A new formulation of the relativity principle based on Poincare's analysis of the problem of absolute and relative motion (Mach's principle) is given. The enire dynamics is based on shape and nothing else. It leads to much stronger predictions than standard Newtonian theory. For the dynamics of Riemannian 3-geometries on which matter fields also evolve, implementation of the new relativity principle establishes unexpected links between special relativity, general relativity and the gauge principle. They all emerge together as a self-consistent complex from a unified and completely relational approach to dynamics. A connection between time and scale invariance is established. In particular, the representation of general relativity as evolution of the shape of space leads to unique definition of simultaneity. This opens up the prospect of a solution of the problem of time in quantum gravity on the basis of a fundamental dynamical principle.

14 citations

Journal Article
TL;DR: In this paper, the red shift for an electromagnetic wave measured by two observers in a uniformly accelerated frame, which, according to the equivalence principle, should correspond to a gravitational red shift, is calculated as well as the bending of light rays.
Abstract: The red shift for an electromagnetic wave measured by two observers in a uniformly accelerated frame, which, according to the equivalence principle, should correspond to a gravitational red shift, is calculated as well as the bending of light rays.

14 citations

Journal ArticleDOI
TL;DR: The difficulties associated with the point electron in general relativity are avoided by ascribing to the electron a definite surface, for which a consistent scheme of stresses and electromagnetic forces is used as discussed by the authors.
Abstract: The difficulties associated with the point electron in general relativity are avoided by ascribing to the electron a definite surface, for which a consistent scheme of stresses and electromagnetic ...

14 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202152
202073
201970
201870
201790
201693