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Four-divergence as a paravector operator. Invariance of the wave equation under orthogonal paravector transformation

Mathematical Physics 2016-05-20 v2 math.MP

Abstract

The article presents four identities containing the spatio-temporal differential operator also known as four-divergence. These equations are used to prove the invariance of wave equation under orthogonal paravector transformations. Moreover, the transformation of equations containing spatio-temporal differential operators under the rotation of reference frame has been presented.

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Cite

@article{arxiv.1605.04499,
  title  = {Four-divergence as a paravector operator. Invariance of the wave equation under orthogonal paravector transformation},
  author = {Jozef Radomanski},
  journal= {arXiv preprint arXiv:1605.04499},
  year   = {2016}
}

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8 pages