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The Lorentz Transformation

2013
Now that we have seen the main consequences of the postulates of Special Relativity, i.e., the relativity of simultaneity, time dilation, and length contraction it is clear that the Galilei transformation, with its absolute time, is incorrect. These important physical phenomena can be seen as direct consequences of the correct transformation relating ...
V. Faraoni
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The Lorentz-Transformation

2011
The notion of the coordinate time is introduced. The interrelation between constancy of c and synchronization is analyzed. Lorentz-transformations are derived and using them the relativistic effects are reconsidered. The causality paradox is discussed and the twin paradox is described from the point of view of both siblings.
P. Hraskó
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The Lorentz Transformation [PDF]

open access: possibleNature, 1953
ON the basis of rather less restrictive postulates concerning the behaviour of light than are customary in special relativity theory, Capildeo has recently1 given the transformation equations connecting two frames of reference S and S′ (with suitably oriented axes) in uniform ...
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Generalized Lorentz transformations

Advances in Applied Clifford Algebras, 1999
The author introduces a real matrix representation of the Dirac algebra built of \( 4\times 4\) block matrices each element of which belongs to \(\text{ SO}(4)\). The standard space-time metric used is \( \text{ diag}(-1,1,1,1)\). The main purpose is to offer a concrete matrix realization of relevant physical actions and to define generalized Lorentz ...
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Cosmic lorentz transformation

International Journal of Theoretical Physics, 1986
The Lorentz transformations in special relativity are derived from the invariance of \(x^ 2+y^ 2+z^ 2-c^ 2t^ 2\), which results from the principle of relativity and from the constancy of the speed of light. In the present paper the author investigates a mathematically similar situation in cosmology resulting from the invariance of a certain quantity ...
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Generalization of the Lorentz Transformation

Nature, 1970
ALWAY1 has proposed a transformation which should be a generalization of the well known Lorentz transformation in special relativity. The new transformation was derived without the usual supposition of space homogeneity. Here I discuss briefly some consequences of the proposed transformation, quoting experiments which support the Lorentz transformation.
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The Lorentz Transformation

The Mathematical Gazette, 1925
The methods usually adopted for demonstrating the Lorentz Transformation are algebraic. Algebra is a powerful means of arriving at results, but does not in itself explain those results. In the present matter, the average reader is left with a sense of puzzledom, baffled by the paradoxes evolved by the algebra ; the results are demonstrated, but he is ...
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