Three +1 Faces of Invariance

Details Three +1 Faces of Invariance Three +1 Faces of Invariance

2009-12-31

arxiv.org/abs/1001.0088v1

Physics

General Physics

19 pages, 5 figures

Scientific paper

A careful look at an allegedly well-known century-old concept reveals interesting aspects in it that have generally avoided recognition in literature. There are four different kinds of physical observables known or proclaimed as relativistic invariants under space-time rotations. Only observables in the first three categories are authentic invariants, whereas the single "invariant" - proper length - in the fourth category is actually not an invariant. The proper length has little is anything to do with proper distance which is a true invariant. On the other hand, proper distance, proper time, and rest mass have more in common than usually recognized, and particularly, mass - time analogy opens another view of the twin paradox.

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