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Uncertainty of Velocity in kappa-Minkowski Spacetime

High Energy Physics - Theory 2007-05-23 v1 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.hep-th/0302126,
  title  = {Uncertainty of Velocity in kappa-Minkowski Spacetime},
  author = {Ken-Ichi Tezuka},
  journal= {arXiv preprint arXiv:hep-th/0302126},
  year   = {2007}
}

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10 pages