On spacetime coordinates in special relativity

Nilton Penha; Bernhard Rothenstein

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arXiv · 0705.0941

On spacetime coordinates in special relativity

Nilton Penha·Bernhard Rothenstein

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Abstract

Starting with two light clocks to derive time dilation expression, as many textbooks do, and then adding a third one, we work on relativistic spacetime coordinates relations for some simple events as emission, reflection and return of light pulses. Besides time dilation, we get, in the following order, Doppler k-factor, addition of velocities, length contraction, Lorentz Transformations and spacetime interval invariance. We also use Minkowski spacetime diagram to show how to interpret some few events in terms of spacetime coordinates in three different inertial frames.

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Nilton Penha, Bernhard Rothenstein. 2007-05-07. On spacetime coordinates in special relativity. https://arxiv.org/abs/0705.0941

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