The Lorentz Force Law and Spacetime Symmetries

Details The Lorentz Force Law and Spacetime Symmetries The Lorentz Force Law and Spacetime Symmetries

2005-04-04

arxiv.org/abs/math-ph/0504006v1

Physics

Mathematical Physics

19 pages, 7 problems, 2 figures, Latex. Article based on poster presented at the NES APS/AAPT Spring Meeting at MIT, April 1-2

Scientific paper

Assume that arc length is measured with the flat spacetime metric. Then, for
the most general Poincare group representation for translating 4-vectors,
curves with parallel translated tangent vectors must have accelerations that
are the scalar product of the tangent vector with an antisymmetric tensor. Such
curves are the paths of charged particles in an electromagnetic field.

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