Results 281 to 290 of about 108,206 (304)
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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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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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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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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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Rotations and Lorentz transformations
Nuclear Physics, 1964Abstract 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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A characterization of Lorentz transformations
Journal of Mathematical Physics, 1978If a one-to-one correspondence of Minkowski space–time onto itself is such that timelike lines, and only timelike lines, map onto timelike lines, then the correspondence is an inhomogeneous Lorentz transformation combined with a dilation.
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A note on the Lorentz transformation
Journal of Mathematical Physics, 1979Using Lie theory of one-parameter transformation group, we show that the (linear) Lorentz transformation can be embedded into a class of nonlinear transformations.
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Generalized Lorentz transformation
Czechoslovak Journal of Physics, 1964A non-linear transformation of the coordinates connecting an arbitrary system, in which the motion of the test particle is given, with a system connected with the test particle is derived within the framework of the general theory of relativity. The transformation contains the Lorentz transformation as a special case.
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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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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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