Doubly special relativity and de Sitter space

By Jerzy Kowalski-Glikman, S. Nowak. 2003

166 citations recorded by the source corpus.

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 spacetime and the phase-space algebra. Next we investigate the relation between our geometric formulation and the one based on quantum κ-deformations of the Poincare algebra. Finally we re-derive the five-dimensional differential calculus using the geometric method, and use it to write the deformed Klein–Gordon equation and to analyse its plane-wave solutions.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a12b2cc949f1779334e278ec3949efab34ac15da

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Astronomy and Astrophysics

In Statistical and Nonlinear Physics

Citations in the corpus

Minimal Length Scale Scenarios for Quantum Gravity (2012, methodology): “It is worthwhile to note that this modified addition law can also be found from the algebraic approach; it is the bicrossproduct of the κ-Poincaré algebra [197].”
Introduction to doubly special relativity (2004, background): “Next it was realized in [18], [20] that the algebra of positions and Lorentz charges is nothing but de Sitter SO(4, 1) algebra.”
2+1 gravity and doubly special relativity (2003, background): “3 Although in reference [28], [30] the momentum space for a class of”
Principle of relative locality (2011, unknown): “thors including [42, 47, 48].”
Quantum-Spacetime Phenomenology (2008, methodology): “[58, 55, 349, 140, 386, 387, 354, 388, 352, 353, 350, 26, 200, 493, 465, 291, 314, 366] and references therein), but for the purposes of this review I shall limit my consideration of DSR ideas on phenomenology to a single one of the (many) relevant issues, which is an observation that concerns the c”