Doubly special relativity in de Sitter spacetime

Details Doubly special relativity in de Sitter spacetime Doubly special relativity in de Sitter spacetime

2008-02-08

arxiv.org/abs/0802.1129v1

Annalen Phys.522:924-940,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, plain TeX

Scientific paper

10.1002/andp.201000105

We discuss the generalization of Doubly Special Relativity to a curved de Sitter background. The model has three observer-independent scales, the velocity of light $c$, the radius of curvature of the geometry $\alpha$, and the Planck energy $\kappa$, and can be realized in a noncommutative position space. It is possible to construct a model exhibiting a duality for the interchange of positions and momenta together with the exchange of $\alpha$ and $\kappa$.

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