We discuss the definition of velocity as dE=d|p|, 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 cannot be derived.

Approaching space-time through velocity in doubly special relativity

GALANTE, ANGELO;
2004-01-01

Abstract

We discuss the definition of velocity as dE=d|p|, 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 cannot be derived.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/15388
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