2007•arXiv (Cornell University)Open access

Simple derivation of the special theory of relativity without the speed of light axiom

Ondřej Čertı́k

Abstract

We show a very simple yet rigorous derivation of the invariance of the space-time interval (and hence the whole special relativity) just from the isotropy, homogeneity and a principle of relativity, without the need of the speed of light axiom. This article is intended as a textbook explanation of the special relativity.

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Key concepts: Simple (philosophy), Axiom, Speed of light (cellular automaton), Theory of relativity, Emission theory, Constructive set theory, Special relativity, Theoretical physics