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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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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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Nature, 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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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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Generalization of the Lorentz Transformation
Nature, 1970ALWAY1 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, 1958The 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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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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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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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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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 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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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
1936The present paper is an attempt to establish the linearity of the transformation from simple arguments ...
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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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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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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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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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