Difference between revisions of "The Paradox of Thomas Rotation"
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| − | In order to extend the 1 + 1 Lorentz transformation to one with 1 + 3 dimensions, the so-called Thomas rotation is inevitably involved. This, in turn, provides the relativistic interpretations of the non-commutative and non-associative composition laws of non-collinear velocities. When dealing with two successive Lorentz transformations involving non-collinear velocities, two peculiarities are revealed. The first is related to the vector-scaler pair ('''J''', <em>p</em>''') and the second to the vector pair (E, B'''); neither implies the Thomas rotation. Ungar's attempt to solve these difficulties by applying the Thomas rotation if invalidated by the conservation law of the electromagnetic field. The result is a paradox revealing an internal contradiction of the Special Theory of Relativity.[[Category:Scientific Paper]] | + | In order to extend the 1 + 1 Lorentz transformation to one with 1 + 3 dimensions, the so-called Thomas rotation is inevitably involved. This, in turn, provides the relativistic interpretations of the non-commutative and non-associative composition laws of non-collinear velocities. When dealing with two successive Lorentz transformations involving non-collinear velocities, two peculiarities are revealed. The first is related to the vector-scaler pair ('''J''', <em>p</em>''') and the second to the vector pair (E, B'''); neither implies the Thomas rotation. Ungar's attempt to solve these difficulties by applying the Thomas rotation if invalidated by the conservation law of the electromagnetic field. The result is a paradox revealing an internal contradiction of the Special Theory of Relativity. |
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| + | [[Category:Scientific Paper|paradox thomas rotation]] | ||
[[Category:Relativity]] | [[Category:Relativity]] | ||
Revision as of 11:22, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | The Paradox of Thomas Rotation |
| Author(s) | Constantin I Mocanu |
| Keywords | Thomas rotation, non-collinear velocities, electromagnetic field, (STR) |
| Published | 1991 |
| Journal | Galilean Electrodynamics |
| Volume | 2 |
| Number | 4 |
| Pages | 67-74 |
Abstract
In order to extend the 1 + 1 Lorentz transformation to one with 1 + 3 dimensions, the so-called Thomas rotation is inevitably involved. This, in turn, provides the relativistic interpretations of the non-commutative and non-associative composition laws of non-collinear velocities. When dealing with two successive Lorentz transformations involving non-collinear velocities, two peculiarities are revealed. The first is related to the vector-scaler pair (J, p) and the second to the vector pair (E, B); neither implies the Thomas rotation. Ungar's attempt to solve these difficulties by applying the Thomas rotation if invalidated by the conservation law of the electromagnetic field. The result is a paradox revealing an internal contradiction of the Special Theory of Relativity.
