Lorentz Transformation Equations in Galilean Form

Physics – General Physics

Scientific paper

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5 pages

Scientific paper

Using the notion, developed in an earlier paper, of "representation" of "position" by a vector in a vector space with an inner product, we show that the Lorentz Transformation Equations relating positions in two different reference frames can be put in a particularly simple form which could be said to be "Galilean". We emphasize that two different reference frames can use a common vector space for representation but with two different inner products. The inner products are defined through the observational set-up of each frame.

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