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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.
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TL;DR: In this article, the existence of a finite speed limit to energy/information transfers over a 4-dimensional connected, orientable flat spacetime manifold endowed with a time-arrow was assessed.
Abstract: If M is a 4-dimensional connected, orientable flat spacetime manifold endowed with a time-arrow, and if the existence of a finite speed limit to energy/information transfers over M can be assessed, then the “twin paradox” necessarily follows (and indeed, the full special relativity theory). Two other implicit ingredients of the paradox are also identified.
8 citations
8 citations
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TL;DR: In this paper, the diverse examples of spatial and space-time rotations are merged into a didactic whole by introducing quaternion transformations and comparing them to the representation using rotation matrices common in physics books.
Abstract: As an expansion of complex numbers, the quaternions show close relations to numerous physically fundamental concepts. In spite of that, the didactic potential provided by quaternion interrelationships in formulating physical laws are hardly regarded in the current physics curriculum. In particular, many approaches emerge that are useful in conveying the unity of seemingly distinct theories in a didactically convincing manner. This will be exemplified with the help of special relativity. The diverse examples of spatial and space-time rotations are merged into a didactic whole by introducing quaternion transformations and comparing them to the representation using rotation matrices common in physics books.
8 citations
TL;DR: In this paper, the authors identify what was missing in Lorentz and Poincare's views and contrast them with Einstein's insights and identify the fundamental consequences of the principle of relativity.
Abstract: On the occasion of the centenary of special relativity, several publications have argued that Poincare, and not Einstein, was the discoverer of special relativity. Attacks have simultaneously been directed at Einstein, whose 1905 article on the electrodynamics of moving bodies was alleged to be a forgery. These attacks praise Lorentz and Poincare for their results and neglect Poincare’s failure to make the necessary conceptual leap and understand the fundamental consequences of the principle of relativity. I identify what was missing in Lorentz’s and Poincare’s views and contrast them with Einstein’s insights.
8 citations
8 citations