Uncertainty of Velocity in kappa-Minkowski Spacetime

Abstract

A velocity of a point particle in the kappa-Minkowski spacetime is investigated. Characteristic points of the spacetime are that the Poincare group becomes a quantum group with kappa, which is a mass dimension parameter, and is a kind of non-commutative geometry. We consider a particle in a coordinate space instead of it in a momentum space which is discussed in many articles. We see that the particle's velocity has an uncertainty which depends on a length of particle's propagation.

10 pages

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Cited by in corpus (3)

• Minimal Length Scale Scenarios for Quantum Gravity
• Classical paradoxes of locality and their possible quantum resolutions in deformed special relativity
• On limitations of the extent of inertial frames in non-commutative relativistic spacetimes