Doubly Special Relativity and de Sitter space

dc.creatorKowalski-Glikman, Jerzy
dc.creatorNowak, Sebastian
dc.date2003-04-10
dc.date2003-10-11
dc.date.accessioned2026-07-07T10:49:37Z
dc.date.available2026-07-07T10:49:37Z
dc.descriptionIn 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 $κ$-deformations of the Poincaré 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.
dc.description26 pages, one formula (67) corrected; some remarks added
dc.identifierhttps://arxiv.org/abs/hep-th/0304101
dc.identifierhttp://arxiv.org/abs/hep-th/0304101
dc.identifierClass.Quant.Grav.20:4799-4816,2003
dc.identifierdoi:10.1088/0264-9381/20/22/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184277
dc.subjectHigh Energy Physics - Theory
dc.titleDoubly Special Relativity and de Sitter space
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