Approaching Space Time Through Velocity in Doubly Special Relativity

Details Approaching Space Time Through Velocity in Doubly Special Relativity Approaching Space Time Through Velocity in Doubly Special Relativity

2004-10-05

arxiv.org/abs/gr-qc/0410020v3

Phys.Rev. D70 (2004) 125012

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures, minor changes, references added, final version to appear in PRD

Scientific paper

10.1103/PhysRevD.70.125012

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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