On time-interval transformations in special relativity

Details On time-interval transformations in special relativity On time-interval transformations in special relativity

2011-05-20

arxiv.org/abs/1105.4085v1

Physics

General Physics

11 pages, 3 figures

Scientific paper

We revisit the problem of the Lorentz transformation of time-separations between events in the Minkowski spacetime to show that there exist a whole class of "time-stretching formulas" which "look" exactly like the well known time-dilation formula (TDF) in special relativity. We highlight the essential di?fferences between the TDF and the similar looking time-stretching formulas in view of the fact that occasionally a time-stretching formula has been mistaken for the TDF in the literature. As a by-product of our discussion, we are able to present some new gedanken experiments in which from among the three formulas for time-dilation, length contraction and velocity addition, one can assume any two and derive the third. The novel feature of these gedanken experiments is that they use material particles instead of light rays.

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