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Approaching Space Time Through Velocity in Doubly Special Relativity

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arxiv gr-qc/0410020 v3 pith:Q4PAC7LX submitted 2004-10-05 gr-qc hep-th

Approaching Space Time Through Velocity in Doubly Special Relativity

R. Aloisio , A. Galante , A.F. Grillo , E. Luzio , F. Mendez This is my paper
classification gr-qc hep-th
keywords space-timevelocitydefinitiondoublyrelativityspecialapproachingappropriate
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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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