Approaching Space Time Through Velocity in Doubly Special Relativity

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.

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

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Cited by in corpus (8)

• Phenomenology of Doubly Special Relativity
• Speed of particles and a relativity of locality in $\kappa$-Minkowski quantum spacetime
• Interpreting doubly special relativity as a modified theory of measurement
• About Locality and the Relativity Principle Beyond Special Relativity
• Inertial frames without the relativity principle
• Foundations of anisotropic relativistic mechanics
• Physical velocity of particles in relativistic curved momentum space
• On the invariance of the relative rest in doubly special relativity