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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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Improper Lorentz Transformations

Physical Review, 1958
The irreducible representations of the extended Lorentz group, including the space- and time-like reflections, are discussed. It is shown that there exist certain representations (up to the sign) which can be used to describe a particle with two states of opposite parity.
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The Lorentz transformation

2021
Abstract“The Lorentz transformation” derives the Lorentz transformation by an unusual route, from application of simple postulates: space is uniform and isotropic; inertial frames exist; physics is invariant under a change between inertial frames. The speed of light is an invariant, but this property is input last.
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Lorentz Transformation

American Journal of Physics, 1968
A simple-straightforward derivation of the most general form of the homogeneous Lorentz transformation is presented. In the process, the well-known decomposition of a generic element of the group into two pure rotations and a “one-dimensional” Lorentz transformation is obtained in a physically obvious manner.
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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 ...
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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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On the linearity of the Lorentz transformation

1936
The present paper is an attempt to establish the linearity of the transformation from simple arguments ...
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The Lorentz Transformation

1998
Abstract Constantia enters your room. “What’s all the commotion?” You whisper to Mr. Veil, “Breathe none of this to her.” You turn to Constantia. “Ready for the next lesson?” Around Constantia’s neck is a pearl necklace giving her the vague appearance of a young Jacqueline Kennedy. Her shirt is covered with musical notes.
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The Lorentz Transformation

1993
We shall derive the Lorentz transformation by physical arguments. Let us pretend for a short while that we do not know about Minkowski space-time and Minkowski coordinates. Instead, we are aware of space and time and inertial frames of reference. An inertial observer, an idealized point observer subject to no forces, is assumed to follow a straight ...
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