Planck-scale relativity from quantum $κ$-Poincaré algebra

Details Planck-scale relativity from quantum $κ$-Poincaré algebra Planck-scale relativity from quantum $κ$-Poincaré algebra

2001-07-06

arxiv.org/abs/hep-th/0107054v1

Mod.Phys.Lett. A17 (2002) 1-12

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX, no figures

Scientific paper

10.1142/S0217732302006175

Extending the commutator algebra of quantum $\kappa$-Poincar\'e symmetry to the whole of the phase space, and assuming that this algebra is to be covariant under action of deformed Lorentz generators, we derive the transformation properties of positions under the action of deformed boosts. It turns out that these transformations leave invariant the quadratic form in the position space, which is the Minkowski metric and that the boosts saturate. The issues of massless and massive particles motion, as well as time dilatation and length contraction in this new framework are also studied.

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