Abstract
We discuss the definition of velocity as , where , are the energy and momentum of a particle, in doubly special relativity (DSR). If this definition matches 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 cannot be derived.
- Received 27 October 2004
DOI:https://doi.org/10.1103/PhysRevD.70.125012
©2004 American Physical Society