A new Doubly Special Relativity theory from a quantum Weyl-Poincare algebra

Abstract

A mass-like quantum Weyl-Poincare 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 DSR theory). Deformed momentum representation, finite boost transformations, range of rapidity, energy and momentum, as well as position and velocity operators are explicitly studied and compared with those of previous DSR theories based on kappa-Poincare algebra. The main novelties of the DSR theory here presented are the new features of momentum saturation and a new type of deformed position operators.

arXiv comment13 pages, LaTeX; some references and figures added, and terminology is more precise

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Cited by in corpus (10)

• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Dirac spinors for Doubly Special Relativity and $\kappa$-Minkowski noncommutative spacetime
• $\kappa$-Minkowski Spacetimes and DSR Algebras: Fresh Look and Old Problems
• Interplay between curvature and Planck-scale effects in astrophysics and cosmology
• Drinfel'd doubles for (2+1)-gravity
• Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti-)de Sitter groups
• Noncommutative spaces of worldlines
• Twisted (2+1) $\kappa$-AdS Algebra, Drinfel'd Doubles and Non-Commutative Spacetimes
• Accelerated horizons and Planck-scale kinematics
• Extended Non Linear Conformal Symmetry and DSR Velocities on the Physical Surface