Special theory of relativity through the Doppler effect
Abstract
We present the special theory of relativity taking the Doppler effect as the starting point, and derive several of its main effects, such as time dilation, length contraction, addition of velocities and the massenergy relation, and assuming energy and momentum conservation, we discuss how to introduce the 4momentum in a natural way. We also use the Doppler effect to explain the 'twin paradox', and its version on a cylinder. As a byproduct we discuss Bell's spaceship paradox, and the Lorentz transformation for arbitrary velocities in one dimension.
 Publication:

European Journal of Physics
 Pub Date:
 November 2006
 DOI:
 10.1088/01430807/27/6/015
 arXiv:
 arXiv:physics/0605204
 Bibcode:
 2006EJPh...27.1409M
 Keywords:

 Physics  Classical Physics
 EPrint:
 20 pages, 1 figure