2003/02/28 by Arkadiusz Błaut, A. Blaut, M. Daszkiewicz +3
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Classical mechanics #Doubly special relativity #Four-force #Galilean #Hopf algebra #Light cone #Lorentz transformation #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Pure mathematics #Quantum #Quantum gravity #Quantum mechanics #Quantum spacetime #Spacetime #Special relativity #Theoretical physics #Theory of relativity #hep-th
paper · pdf · doi:10.1142/s0217732303011587
published as Mod.Phys.Lett. A18 (2003) 1711 · 12 pages, one reference and acknowledgment added; some mild stylistic changes in abstract and first section made
arxiv created 2003/03/31 · openalex publication_date 2003/08/06 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We propose a new Doubly Special Relativity theory based on the generalization of the κ-deformation of the Poincaré algebra acting along one of the null directions. We recall the quantum Hopf structure of such deformed Poincaré algebra and use it to derive the phase space commutation relations. As in the DSR based on the standard quantum κ-Poincaré algebra we find that the spacetime is noncommutative. We investigate the fate of the properties of Special Relativity in the null basis: the split of the algebra of Lorentz and momentum generators into kinematical and dynamical parts, the action of the kinematical boost M +- , and the emergence of the two-dimensional Galilean symmetry.