2003/05/31 by Ángel Ballesteros, Angel Ballesteros, N. Rossano Bruno +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories #hep-th #math.QA
paper · pdf · doi:10.1088/0305-4470/36/42/006
published as J.Phys.A36:10493-10503,2003 · 13 pages, LaTeX; some references and figures added, and terminology is more precise
arxiv created 2003/09/03 · openalex publication_date 2003/10/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
A ‘mass-like’ quantum Weyl–Poincaré algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, a new relativistic theory with two observer-independent scales (or ‘doubly special relativity’ (DSR) theory). Deformed momentum representation, finite boost transformations, range of rapidity, energy and momentum, and position and velocity operators are explicitly studied and compared with those of previous DSR theories based on κ-Poincaré algebra. The main novelties of the DSR theory presented here are the new features of momentum saturation and a new type of deformed position operators.