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Approaching Space Time Through Velocity in Doubly Special Relativity

R. Aloisio·A. Galante·A. F. Grillo·E. Luzio·F. Mendez
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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.

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R. Aloisio, A. Galante, A. F. Grillo, E. Luzio, F. Mendez. 2004-12-03. Approaching Space Time Through Velocity in Doubly Special Relativity. https://doi.org/10.1103/physrevd.70.125012

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