2006•arXiv (Cornell University)Open access

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

Mushfiq Ahmad

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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Key concepts: Galilean, Lorentz transformation, Velocity-addition formula, Galilean transformation, Relative velocity, Theory of relativity, Transformation (genetics), Galilean invariance