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Isomorphism between Galilean and Lorentz Transformations and Special Relativity in Galilean Algebra

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

We have shown that Lorentz transformation is not necessary to present relativistic relative velocity. A modified definition of velocity together with Galilean transformation is equivalent to relativistic relative velocity. On the other hand, Galilean relative velocity can be presented as a Lorentz transformation. Again the definition of velocity requires a modification.

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Cite

@article{arxiv.math-ph/0612019,
  title  = {Isomorphism between Galilean and Lorentz Transformations and Special Relativity in Galilean Algebra},
  author = {Mushfiq Ahmad},
  journal= {arXiv preprint arXiv:math-ph/0612019},
  year   = {2007}
}

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4 pages