045001, gr-qc/0205067 J. Lukierski and A. Nowicki, Doubly special relativity versus $\kappa$-deformation of relativistic kinematics, Int. J. Mod. Phys. A 18 (2003) 7, hep-th/0203065 G. Amelino-Camelia, Status of Relativity with observer-independent length and velocity scales, Proceedings of the 37th Karpacz Winter School of Theoretical Physics, AIP Conference Proceedings 589, gr-qc/0106004 S. Hossenfelder, Multi-Particle States in Deformed Special Relativity, hep-th/0702016 J. Ellis, N. Mavromatos, D. Nanopoulos, A. Sakharov, E. Sarkisyan and the MAGIC Collaboration, Probing Quantum Gravity using Photons from a Mkn 501 Flare Observed by MAGIC, astro-ph/0708.2889 J. Kowalski-Glikman, De Sitter space as an arena for Doubly Special Relativity, Phys. Lett. B 547 (2002) 291-296, hep-th/0207279 A. Agostini, G. Amelino-Camelia and F. D’Andrea, Hopf-algebra description of noncommutative-spacetime symmetries, Int. J. Mod. Phys. A 19 (2004) 5187-5220, hep-th/0306013 L. Freidel and J. Kowalski-Glikman, $\kappa$-Minkowski space, scalar field, and the issue of Lorentz invariance, hep-th/0710.2886 J. Magueijo and L. Smolin, Gravity’s Rainbow, Class. Quantum Grav. 21 (2004) 1725-1736, gr-qc/0305055 F. Girelli, S. Liberati and L. Sindoni, Planck-Scale Modified Dispersion Relations and Finsler Geometry, gr-qc/0611024 S. Majid, Hopf algebras for physics at the Planck scale, Class. Quantum Grav. 5 (1988) 1587-1606 M. Bojowald, H. Morales-Técotl and H. Sahlmann, On Loop Quantum Gravity Phenomenology 