Doubly special relativity and translation invariance

Abstract

We propose a new interpretation of doubly special relativity (DSR) based on the distinction between the momentum and the translation generators in its phase space realization. We also argue that the implementation of DSR theories does not necessarily require a deformation of the Lorentz symmetry, but only of the translation invariance.

10 pages, plain TeX

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Cited by in corpus (19)

• Minimal Length Scale Scenarios for Quantum Gravity
• Extended uncertainty principle and the geometry of (anti)-de Sitter space
• Classical and quantum mechanics of the nonrelativistic Snyder model
• Taming nonlocality in theories with Planck-scale-deformed Lorentz symmetry
• Doubly special relativity in de Sitter spacetime
• Snyder dynamics in a Schwarzschild spacetime
• Classical dynamics on curved Snyder space
• Relativistic Thermodynamics with an Invariant Energy Scale
• Geometrizing the Klein-Gordon and Dirac equations in Doubly Special Relativity
• Snyder-de Sitter model from two-time physics
• Relative-locality effects in Snyder spacetime
• Deformed Quantum Phase Spaces, Realizations, Star Products and Twists
• Non-Relativistic Anti-Snyder Model and Some Applications
• Effects of a Maximal Energy Scale in Thermodynamics for Photon Gas and Construction of Path Integral
• Atlas of Coordinate Charts on de Sitter Spacetime
• Lifetime of flying particles in canonical Doubly Special Relativity
• From Noncommutative Sphere to Nonrelativistic Spin
• Some Features of Scattering Problem in a $\kappa$-Deformed Minkowski Spacetime
• Formal developments in curved momentum space: the quantum field theory roadmap