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A Remarkable Unnoticed Theorem in Special Relativity

โœ Scribed by Alladi Ramakrishnan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
113 KB
Volume
213
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

We demonstrate a striking theorem imbedded in the Lorentz Transformation, unnoticed explicitly since the birth of Special Relativity in 1905, connecting Time Dilatation, Lorentz Contraction, and non-simultaneity as we shift from one frame to another. We start by expressing the theorem in words aphoristically as Dialated Time Minus Contracted Time s Time Interval Representing Non-simultaneity.

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We dedicate this paper to Andrzej Kossakowski on the occasion of his 70 th birthday. This paper, which is meant to be a tribute to Minkowski's geometrical insight, rests on the idea that the basic observed symmetries of spacetime homogeneity and of isotropy of space, which are displayed by the spac