Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-04-10
Class.Quant.Grav.20:4799-4816,2003
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, one formula (67) corrected; some remarks added
Scientific paper
10.1088/0264-9381/20/22/006
In this paper we recall the construction of Doubly Special Relativity (DSR) as a theory with energy-momentum space being the four dimensional de Sitter space. Then the bases of the DSR theory can be understood as different coordinate systems on this space. We investigate the emerging geometrical picture of Doubly Special Relativity by presenting the basis independent features of DSR that include the non-commutative structure of space-time and the phase space algebra. Next we investigate the relation between our geometric formulation and the one based on quantum $\kappa$-deformations of the Poincar\'e algebra. Finally we re-derive the five-dimensional differential calculus using the geometric method, and use it to write down the deformed Klein-Gordon equation and to analyze its plane wave solutions.
Kowalski-Glikman Jerzy
Nowak Sebastian
No associations
LandOfFree
Doubly Special Relativity and de Sitter space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Doubly Special Relativity and de Sitter space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Doubly Special Relativity and de Sitter space will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-274238