Lorentz transformation and its application
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Date
2022-07-01
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UMT Lahore
Abstract
Treatments of the Lorentz transformation of special relativity at an undergraduate level usually assume that the motion of one observer is along the x-axis of another observer, resulting in the 2-4 dimensional Lorentz transformation group. The (1+n) dimensional Lorentz group for n=2 or n=3 is unknown to many physics students because of the simplified (1+1) dimensional treatments found in most texts. The aim of this article is to simplify the presentation of the Lorentz group to the point where the (1+n) dimensional Lorentz group can readily be presented to physics students in n space dimensions, where n is finite or infinite. The study of the Lorentz transformation group is simplified and generalized in this article, thus obtaining an elegant formalism to deal with the Lorentz group.