Relativistic velocity addition and the relativity of space and time intervals

Details Relativistic velocity addition and the relativity of space and time intervals Relativistic velocity addition and the relativity of space and time intervals

2006-10-10

arxiv.org/abs/physics/0610065v4

Physics

General Physics

11 pages, 5 figures. v2 has a simplifed presentation using directly the Reciprocity Principle. References changed, typos remov

Scientific paper

A thought experiment first proposed by Sartori is analysed using the parallel velocity addition formula of special relativity. The distances and proper-time intervals between some similarly defined spatial coincidence events are found to be widely different in different inertial frames. This relativity of space and time intervals is quite distinct from the well-known time-dilatation and length contraction effects of special relativity. Sartori's claimed derivation of the parallel velocity addition formula, assuming relativistic time dilatation, based on the thought experiment, is shown to be fortuitous.

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