Speed of particles and a relativity of locality in $κ$-Minkowski quantum spacetime

Details Speed of particles and a relativity of locality in $κ$-Minkowski quantum spacetime Speed of particles and a relativity of locality in $κ$-Minkowski quantum spacetime

2011-02-22

arxiv.org/abs/1102.4637v1

Phys. Lett. B 700 (2011) 150-156

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 14 pages, 2 figures

Scientific paper

10.1016/j.physletb.2011.04.054

The last decade of research on $\kappa$-Minkowski noncommutative spacetime has been strongly characterized by a controversy concerning the speed of propagation of massless particles. Most arguments suggested that this speed should depend on the momentum of the particle strongly enough to be of interest for some ongoing experimental studies. But the only explicit derivations of worldlines in $\kappa$-Minkowski predicted no momentum dependence for the speed of massless particles. We return to this controversy equipped with the recent understanding (arXiv:1006.2126, arXiv:1007.0718, arXiv:1008.2962, arXiv:1101.0931) that in some quantum spacetimes coincidences of events assessed by an observer who is distant from the events can be artifactual, and particularly Smolin's thesis (arXiv:1007.0718) that $\kappa$-Minkowski should be an example of such a spacetime. We therefore set up our investigation in such a way that we never rely on the assessment of coincidences of events by distant observers. This allows us to verify explicitly that in $\kappa$-Minkowski simultaneously-emitted massless particles of different momentum are detected at different times, and establish a linear dependence of the detection times on momentum.

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