$\kappa$-Poincar\'e phase space: speed of massless particles and   relativity of spacetime locality
  The study of phase-space constructions based on the properties of the $\kappa$-Poincar\'e 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 . 
Giacomo Rosati, Niccolo Loret, Giovanni Amelino-Camelia
hep-th gr-qc hep-ph