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

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

2006-12-06

arxiv.org/abs/math-ph/0612019v1

Physics

Mathematical Physics

4 pages

Scientific paper

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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