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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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2020
We consider an observer in the reference system \(\Sigma '\) moving with respect to our reference system \(\Sigma _o\) with the velocity v.
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We consider an observer in the reference system \(\Sigma '\) moving with respect to our reference system \(\Sigma _o\) with the velocity v.
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1984
We started the last chapter by formally deriving the Galilean transformation in an attempt to try and identify any wrong assumptions in the argument. We came to the conclusion that the only part of the argument that we could throw away was that time was the same in all frames of reference.
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We started the last chapter by formally deriving the Galilean transformation in an attempt to try and identify any wrong assumptions in the argument. We came to the conclusion that the only part of the argument that we could throw away was that time was the same in all frames of reference.
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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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1991
Um Ort und Zeit eines Ereignisses in bezug auf ein Inertialsystem festzulegen, denken wir uns das Inertialsystem mit einer Vielzahl von Masstaben und Uhren uberzogen, wie Bild 7.1 zeigt. Findet ein Ereignis statt, so konnen wir an den Masstaben den Ort ablesen und an der an diesem Ort befindlichen Uhr auch die Zeit des Ereignisses bestimmen.
Herbert Kurt Schmidt, Roman U. Sexl
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Um Ort und Zeit eines Ereignisses in bezug auf ein Inertialsystem festzulegen, denken wir uns das Inertialsystem mit einer Vielzahl von Masstaben und Uhren uberzogen, wie Bild 7.1 zeigt. Findet ein Ereignis statt, so konnen wir an den Masstaben den Ort ablesen und an der an diesem Ort befindlichen Uhr auch die Zeit des Ereignisses bestimmen.
Herbert Kurt Schmidt, Roman U. Sexl
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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.
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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.
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International Journal of Theoretical Physics, 1986
In special relativity the Lorentz transformation gives the substitutions for distances and time measurements in two coordinate systems moving relative to each other with a constant velocity. We derive the corresponding transformation for cosmology that connects coordinate systems in different locations and measuring distances and red shifts.
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In special relativity the Lorentz transformation gives the substitutions for distances and time measurements in two coordinate systems moving relative to each other with a constant velocity. We derive the corresponding transformation for cosmology that connects coordinate systems in different locations and measuring distances and red shifts.
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The Covariant Lorentz Transformation
2009It can hardly be emphasized that one of the most important elements of Special Relativity is the Lorentz transformation. This is the reason why we have spent so much space and effort to derive and study the Lorentz transformation in the early chapters of the book.
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Generalized Lorentz transformations
Advances in Applied Clifford Algebras, 1999A real representation of Dirac algebra, using η=diag(−1,1,1,1) as standard metric is discussed. Among other interesting properties it allows to define a generalization of Lorentz transformations. Ordinary boosts and rotations are subsets The additional transformations are shown to describe transformations to displaced systems, rotating systems ...
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Vector Lorentz Transformations
American Journal of Physics, 1967A derivation of the vector Lorentz transformation is given by explicitly compounding the pure Lorentz transformation along one spatial axis with pure spatial rotations. The orthogonal matrix is found which expresses the spatial rotation produced by two successive vector Lorentz transformations and is applied to the Thomas precession of an accelerated ...
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