Uncertainty of Velocity in κ-Minkowski Spacetime

A velocity of a point particle in the κ-Minkowski spacetime is investigated. Characteristic points of the spacetime are that the Poincare group becomes a quantum group with κ, which is a mass dimension parameter, and is a kind of noncommutative 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. e-mail: [email protected]