Continuous space-time transformations
Rings and Algebras
2015-02-05 v1 Mathematical Physics
math.MP
Abstract
We prove that every continuous map acting on the four-dimensional Minkowski space and preserving light cones in one direction only is either a Poincar\'e similarity, that is, a product of a Lorentz transformation and a dilation, or it is of a very special degenerate form. In the presence of the continuity assumption the main tool in the proof is a basic result from the homotopy theory of spheres.
Cite
@article{arxiv.1502.01149,
title = {Continuous space-time transformations},
author = {Clément de Seguins Pazzis and Peter Šemrl},
journal= {arXiv preprint arXiv:1502.01149},
year = {2015}
}
Comments
15 pages