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Finslerian extension of Lorentz transformations
Reports on Mathematical Physics, 1998In this paper a two-dimensional Finslerian metric is studied. This metric is left invariant under the action of a deformed \(\text{SO}(1,1)\) Lorentz group. Namely, starting with the well-known 2-dimensional Lorentz transformation, defined in terms of the Minkowski angle \(\beta=\text{arcth }v\) (with \(c=1\) and \(v\) being velocity) one obtains the ...
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The Covariant Lorentz Transformation
2009It can hardly be emphasized that one of the most important elements of Special Relativity is the Lorentz transformation. This is the reason why we have spent so much space and effort to derive and study the Lorentz transformation in the early chapters of the book.
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2017
Chapter 3 is the heart of the book, in that it derives the spacetime distance and Lorentz transformation. The chapter starts with the derivation of the familiar three-dimensional Euclidean distance in terms of coordinates of points, which happens to be unfamiliar to “flatlanders” who live in a two-dimensional world in which “height” is not physically ...
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Chapter 3 is the heart of the book, in that it derives the spacetime distance and Lorentz transformation. The chapter starts with the derivation of the familiar three-dimensional Euclidean distance in terms of coordinates of points, which happens to be unfamiliar to “flatlanders” who live in a two-dimensional world in which “height” is not physically ...
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On Lorentz Transformation and Special Relativity: Critical Mathematical Analyses and Findings
, 2013R. Kassir
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On Special Relativity: Root Cause of the Problems with Lorentz Transformation
, 2013R. Kassir
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Applications of the Lorentz transformation
1973In this chapter we shall examine some of the implications of the Lorentz transformation. The effects we shall discuss are completely outside normal everyday experience, since they only start to manifest themselves at velocities close to that of light (even an astronaut orbiting the earth is only moving with a speed ~2 × 10-5c). Nevertheless the effects
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Local Lorentz transformation and exact solution in f(T) gravity theories
, 2013G. Nashed
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