# Thomas rotation and the parametrization of the Lorentz transformation group

@article{Ungar1988ThomasRA, title={Thomas rotation and the parametrization of the Lorentz transformation group}, author={Abraham Albert Ungar}, journal={Foundations of Physics Letters}, year={1988}, volume={1}, pages={57-89} }

Two successive pure Lorentz transformations are equivalent to a pure Lorentz transformation preceded by a 3×3 space rotation, called a Thomas rotation. When applied to the gyration of the rotation axis of a spinning mass, Thomas rotation gives rise to the well-knownThomas precession. A 3×3 parametric, unimodular, orthogonal matrix that represents the Thomas rotation is presented and studied. This matrix representation enables the Lorentz transformation group to be parametrized by two physical… Expand

#### 133 Citations

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Graphical Representations for the Successive Lorentz Transformations. Application: Lorentz Contraction and Its Dependence on Thomas Rotation

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On the relativistic velocity composition paradox and the Thomas rotation

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The non-commutativity and the non-associativity of the composition law of the non-colinear velocities lead to an apparent paradox, which in turn is solved by the Thomas rotation. A 3×3 parametric,… Expand

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Successive Lorentz transformations (SLT) for energy and momentum are derived, and the involved Thomas rotation angle (TRA) is highlighted. In particular, if the axes of the coordinate systems related… Expand

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