Lorentz transformation and vector field flows

Physics – Mathematical Physics

Scientific paper

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11 pages, 3 figures. Section IV revised and title changed

Scientific paper

10.1088/0305-4470/36/2/317

The parameter changes resulting from a combination of Lorentz transformation are shown to form vector field flows. The exact, finite Thomas rotation angle is determined and interpreted intuitively. Using phase portraits, the parameters evolution can be clearly visualized. In addition to identifying the fixed points, we obtain an analytic invariant, which correlates the evolution of parameters.

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