Results 1 to 10 of about 158,930 (327)
The Lorentz Transformations [PDF]
Australian Journal of Physics, 1959 Sir Harold Jeffreys (1958) has asserted that my analysis of the clock paradox (Builder 1957) is based on concealed hypotheses; but the hypotheses to which he refers are ones that he claims are involved in the derivation of the Lorentz transformations and in the currently accepted methods of using them.
Geoffrey Builder
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XXIX. The lorentz transformation [PDF]
The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1921 (1921). XXIX. The lorentz transformation. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science: Vol. 42, No. 248, pp. 249-258.
L. A. Pars
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Factorization of the Lorentz transformations [PDF]
arXiv, 2023 The article shows how the factorization of an arbitrary Lorentz transformation is performed. That is, representation of an arbitrary Lorentz transformation as a sequence of spatial rotation and boost or boost and spatial rotation. Relations are obtained that determine the required boosts and turns.
Karplyuk, K.S. +2 more
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Derivation of the Lorentz Force Law and the Magnetic Field Concept using an Invariant Formulation of the Lorentz Transformation [PDF]
arXiv, 2003 It is demonstrated how the right hand sides of the Lorentz Transformation equations may be written, in a Lorentz invariant manner, as 4--vector scalar products. The formalism is shown to provide a short derivation, in which the 4--vector electromagnetic potential plays a crucial role, of the Lorentz force law of classical electrodynamics, and the ...
J. H. Field
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Derivation of transformation equations for the parameters that characterize a plane acoustic wave without using phase invariance and Lorentz-Einstein transformation [PDF]
arXiv, 2005 We show that the transformation equations for the parameters that characterize a plane acoustic wave: period, (frequency), wave vector, wave length and phase velocity can be derived without using phase invariance and Lorentz-Einstein ...
Bernhard Rothenstein
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The Lorentz Transformation [PDF]
, 2001 Traditionally, two postulates are put at the beginning of Special Relativity, from which all other results can be derived.
Roman U. Sexl, Helmuth K. Urbantke
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On the Lorentz Transformations of Momentum and Energy [PDF]
Modern Physics Letters A, 2003 Motivated by ultra-high-energy cosmic ray physics, we discuss all the possible alternatives to the familiar Lorentz transformations of the momentum and the energy of a particle. Starting from natural physical requirements, we exclude all the possibilities, apart from the ones which arise from the usual four-vector transformations by means of a change ...
M. Toller
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Lorentz transformation of blackbody radiation [PDF]
Physical Review E, 2013 6 ...
George W. Ford, R. F. O'Connell
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Orthogonal decomposition of Lorentz transformations [PDF]
General Relativity and Gravitation, 2011 The canonical decomposition of a Lorentz algebra element into a sum of orthogonal simple (decomposable) Lorentz bivectors is discussed, as well as the decomposition of a proper orthochronous Lorentz transformation into a product of commuting Lorentz transformations, each of which is the exponential of a simple bivector.
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Local Lorentz Transformation and "Lorentz Violation" [PDF]
arXiv, 2007 Some solutions to the anomalies of ultra high energy cosmic-ray(UHECR) and TeV $\gamma$-rays require disturbed non-quadratic dispersion relations, which suggest the Lorentz violation. Also, some new theories such as quantum gravity, string theory and the standard model extension imply the Lorentz violation.
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