Space-time and special relativity from causal networks
General Relativity and Quantum Cosmology
2010-09-27 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
We show how the Minkowskian space-time emerges from a topologically homogeneous causal network, presenting a simple analytical derivation of the Lorentz transformations, with metric as pure event-counting. The derivation holds generally for d=1 space dimension, however, it can be extended to d>1 for special causal networks.
Cite
@article{arxiv.1008.4805,
title = {Space-time and special relativity from causal networks},
author = {Giacomo Mauro D'Ariano and Alessandro Tosini},
journal= {arXiv preprint arXiv:1008.4805},
year = {2010}
}
Comments
4 pages and 4 figures