On the Fundamental Theorem of the Theory of Relativity
arXiv:1603.07328 · doi:10.1007/s10701-016-0038-3
Abstract
A new formulation of what may be called the "fundamental theorem of the theory of relativity" is presented and proved in (3+1)-space-time, based on the full classification of special transformations and the corresponding velocity addition laws. A system of axioms is introduced and discussed leading to the result, and a study is made of several variants of that system. In particular the status of the group axiom is investigated with respect to the condition of the two-way isotropy of light. Several issues which are ignored or misunderstood in the literature are emphasized.
in Foundations of Physics (2016)