A simple derivation of the Lorentz transformation and of the related velocity and acceleration formulae

Details A simple derivation of the Lorentz transformation and of the related velocity and acceleration formulae A simple derivation of the Lorentz transformation and of the related velocity and acceleration formulae

2007-02-22

arxiv.org/abs/physics/0702191v1

American Journal of Physics 75, 7 (2007) 615-618

Physics

General Physics

Update of physics/0606103 4 pages, 1 figure, a slightly modified version is to appear in the American Journal of Physics

Scientific paper

10.1119/1.2719700

The Lorentz transformation is entirely derived from length contraction, itself established through the known light-clock thought experiment . This makes the derivation accessible to beginning students once Eintein's two postulates have been admitted. The formula derived for the space part of the general rotation-free Lorentz transformation is very compact and allows for an easy derivation of the velocity and acceleration transformations. A possibly new and very simple relation is found between proper acceleration and acceleration in an inertial frame.

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