The Quartet of Eigenvectors for Quaternionic Lorentz Transformation
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DOI: 10.1007/s00006-020-1050-4
Abstract: In this paper the Lorentz transformation, considered as the composition of a rotation and a Lorentz boost, is decomposed into a linear combination of two orthogonal transforms. In this way a two-term expression of the… read more here.
Keywords: transformation; quartet eigenvectors; lorentz transformation; eigenvectors quaternionic ... See more keywords
Lorentz Transformations in 1+1 Dimensional Spacetime: Mainly the Superluminal Case
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DOI: 10.12693/aphyspola.148.22
Abstract: We discuss the most general form of the Lorentz transformation in 1+1 dimensional spacetime, focusing mainly on its superluminal branch. For this purpose, we introduce the 2-velocity of a reference frame and the clockwork postulate.… read more here.
Keywords: lorentz transformations; mainly superluminal; lorentz transformation; transformations dimensional ... See more keywords
Lorentz Transformation in Maxwell Equations for Slowly Moving Media
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DOI: 10.3390/sym14081641
Abstract: We use the method of field decomposition, a widely used technique in relativistic magnetohydrodynamics, to study the small velocity approximation (SVA) of the Lorentz transformation in Maxwell equations for slowly moving media. The “deformed” Maxwell… read more here.
Keywords: slowly moving; equations slowly; maxwell equations; lorentz transformation ... See more keywords