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Uncertainty of Velocity in kappa-Minkowski Spacetime

2003/02/17 by Ken-Ichi Tezuka, Tezuka, Ken-Ichi
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0302126

10 pages

arxiv created 2003/02/17 · arxiv updated 2009/11/30

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.

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