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Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
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TL;DR: The special theory of relativity as mentioned in this paper is an operational interpretation of the Lorentz transformation, derived deductively by Einstein from a general postulate concerning the relativity of motion and a more specific postulate regarding the velocity of light.
Abstract: In 1905 Einstein(1) published his theory of electro-dynamics of moving bodies, which has long since been incorporated in the accepted body of physical science under the less descriptive name of the special theory of relativity. The kinematical background for this theory, an operational interpretation of the Lorentz transformation, was obtained deductively by Einstein from a general postulate concerning the relativity of motion and a more specific postulate concerning the velocity of light.
260 citations
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247 citations
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01 Jan 1971TL;DR: Galilean transformation laws were but an approximation to the more exact Lorentz formulas, and one could distinguish the abstract principle of relativity from its concrete expressions, as various possible theories of relativity as mentioned in this paper.
Abstract: Publisher Summary Galileo Galilei explicitly introduced the principle of relativity in physics. He was the first one to recognize the existence of inertial transformations, connecting various frames of reference in which the laws of physics take the same form. Starting with the recognition that the Galilean transformation laws were but an approximation to the more exact Lorentz formulas, one could distinguish the abstract principle of relativity from its concrete expressions, as various possible theories of relativity. At the same time, one could begin to see the basic role played by the relevant theory of relativity in structuring a given physical theory—Galilean relativity for classical mechanics, Einstein relativity for “relativistic” mechanics, and electromagnetism. Applications of the Galilei group are described for classical physics and for quantum physics. A “super-Galilei group” has been defined in relation to non-relativistic cosmology. This is a sixteen-parameter group acting on the five-dimensional manifold of space-time and gravitational potential.
245 citations
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TL;DR: In this paper, the possibility of interpreting the formalism of the general theory of relativity in terms of flat space, the fundamental tensor being regarded as describing the gravitational field but having no direct connection with geometry, was considered.
Abstract: The possibility is considered of interpreting the formalism of the general theory of relativity in terms of flat space, the fundamental tensor ${g}_{\ensuremath{\mu}\ensuremath{
u}}$ being regarded as describing the gravitational field but having no direct connection with geometry. The resulting theory in general leads to the same predictions as the Einstein theory, but there are cases where the predictions differ. The present theory may explain the principal results obtained by D. C. Miller in his "ether-drift" experiments. The implications of the theory for cosmology are briefly touched upon.
244 citations