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

Mushfiq Ahmad
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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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Mushfiq Ahmad. 2006-12-06. Isomorphism between Galilean and Lorentz Transformations and Special Relativity in Galilean Algebra. https://arxiv.org/abs/math-ph/0612019

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