English

The simplest derivation of the Lorentz transformation

General Physics 2007-05-23 v4

Abstract

Starting from the well-known light-clock thought experiment to derive time dilation and length contraction, it is shown that finding the Lorentz Transformation requires nothing more than the most trivial vector addition formula. The form which is obtaine for the L.T. allows an easy derivation of the velocity and acceleration transformations which are also given.

Keywords

Cite

@article{arxiv.physics/0606103,
  title  = {The simplest derivation of the Lorentz transformation},
  author = {J. -M. Levy},
  journal= {arXiv preprint arXiv:physics/0606103},
  year   = {2007}
}

Comments

Latex, 4 pages, 1 figure. Two first paragraphs rewritten. Error in formula corrected. Various typo corrected. Example added (Should really be V3. But V3 identical to V2 for some reason)