Abstract
Noncommutative spacetimes are widely believed to model some properties of the quantum structure of spacetime at the Planck regime. In this contribution the construction of (anti-)de Sitter noncommutative spacetimes obtained through quantum groups is reviewed. In this approach the quantum deformation parameter z is related to a Planck scale, and the cosmological constant plays the role of a second deformation parameter of geometric nature, whose limit Λ → 0 provides the corresponding noncommutative Minkowski spacetimes.
Highlights
Noncommutative spacetimes are widely believed to model some properties of the quantum structure of spacetime at the Planck regime. In this contribution the construction ofde Sitter noncommutative spacetimes obtained through quantum groups is reviewed
In this approach the quantum deformation parameter z is related to a Planck scale, and the cosmological constant Λ plays the role of a second deformation parameter of geometric nature, whose limit Λ → 0 provides the corresponding noncommutative Minkowski spacetimes
Non-Abelian algebras play a prominent role in the Hamiltonian description of physical systems
Summary
View the article online for updates and enhancements. - Direction-dependent CMB power spectrum and statistical anisotropy from noncommutative geometry E. View the article online for updates and enhancements. - Direction-dependent CMB power spectrum and statistical anisotropy from noncommutative geometry E. This content was downloaded from IP address 193.146.171.204 on 01/02/2018 at 11:30
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