Approaching Space Time Through Velocity in Doubly Special Relativity
General Relativity and Quantum Cosmology
2009-11-10 v3 High Energy Physics - Theory
Abstract
We discuss the definition of velocity as dE/dp, where E,p are the energy and momentum of a particle, in Doubly Special Relativity (DSR). If this definition matches dx/dt appropriate for the space-time sector, then space-time can in principle be built consistently with the existence of an invariant length scale. We show that, within different possible velocity definitions, a space-time compatible with momentum-space DSR principles can not be derived.
Keywords
Cite
@article{arxiv.gr-qc/0410020,
title = {Approaching Space Time Through Velocity in Doubly Special Relativity},
author = {R. Aloisio and A. Galante and A. F. Grillo and E. Luzio and F. Mendez},
journal= {arXiv preprint arXiv:gr-qc/0410020},
year = {2009}
}
Comments
11 pages, no figures, minor changes, references added, final version to appear in PRD