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Die Lorentz-Transformation

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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The Lorentz transformation: Simplification through complexification

, 2010
The general Lorentz transformation, the relation between observations made in different frames, involves the three components of the relative velocity of the two frames and three parameters describing the relative orientation of the frames.
E. Newman, R. Price
semanticscholar   +1 more source

Cosmic lorentz transformation

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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The Covariant Lorentz Transformation

2009
It 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, 1999
A 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, 1967
A 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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Lorentz Transformation

2017
Chapter 3 is the heart of the book, in that it derives the spacetime distance and Lorentz transformation. The chapter starts with the derivation of the familiar three-dimensional Euclidean distance in terms of coordinates of points, which happens to be unfamiliar to “flatlanders” who live in a two-dimensional world in which “height” is not physically ...
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Rotations and Lorentz transformations

Nuclear Physics, 1964
Abstract Any complex three-dimensional rotation is determined by a complex vector and by a complex angle of rotation. New, short proofs are given of the homomorphisms between the three-dimensional complex rotation group, the group of unimodular quaternions (or unimodular 2 × 2 matrices) and the restricted Lorentz group.
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Generalization of the Lorentz Transformation

Nature, 1969
THE principle of special relativity has been confirmed by a variety of experiments. Because the Lorentz transformation embodies this principle of the equivalence of all inertial frames it has been assumed that all physical theories should be invariant under this transformation. There is, however, a more general transformation including the Lorentz as a
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