$\kappa$-Poincaré phase space: speed of massless particles and relativity of spacetime locality

Abstract

The study of phase-space constructions based on the properties of the $\kappa$-Poincaré Hopf algebra has been a very active area, mostly because of its possible applications in the phenomenology of Planck-scale-induced momentum dependence of the speed of ultrarelativistic particles. We here summarize, with emphasis on the emerging relativity of spacetime locality, some results relevant for this research program that were recently reported in arXiv:1006.2126 (PhysRevLett106,071301) arXiv:1102.4637 (PhysLettB700,150) and arXiv:1107.1724 .

Comments: 23 pages, 8 figures, LaTex; contribution to the proceedings of the 7th International Conference on Quantum Theory and Symmetries (QTS7), 7-13 August 2011, Prague, Czech Republic