Physical laws in spacetime are commonly represented by tensors. However, it is possible to give a vector form to them, where the vectors follow quite simple rules of sum, product and commutation. We present here a self-contained vector algebra for relativistic spacetime, which is a simplification and generalization of geometric (Clifford) and spacetime algebras, and apply it to electromagnetic theory. We emphasize that the vector algebra is convenient to use and flexible enough to accommodate Euclidean geometry and the symmetries of relativistic spacetime, providing an excellent mathematical framework for physics in spacetime.
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[v1] 2019-10-09 20:35:31
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