Doubly Special Relativity: facts and prospects

Abstract

In this short review of Doubly Special Relativity I describe first the relations between DSR and (quantum) gravity. Then I show how, in the case of a field theory with curved momentum space, the Hopf algebra of symmetries naturally emerges. I conclude with some remarks concerning DSR phenomenology and description of open problems.

Submitted to the volume "Approaches to Quantum Gravity - toward a new understanding of space, time, and matter", D. Oriti ed

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• A Lagrangian for DSR Particle and the Role of Noncommutativity
• Lorentz invariant field theory on kappa-Minkowski space
• Classical paradoxes of locality and their possible quantum resolutions in deformed special relativity
• Particles as Wilson lines of gravitational field
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Effective particle kinematics from Quantum Gravity
• Generic predictions of quantum theories of gravity
• Star product and interacting fields on $\kappa$-Minkowski space
• Lorentz Violation in Warped Extra Dimensions
• A possibility to solve the problems with quantizing gravity
• Reply to arXiv:1006.2126 by Giovanni Amelino-Camelia et al
• Comments on Nonlocality in Deformed Special Relativity, in reply to arXiv:1004.0664 by Lee Smolin and arXiv:1004.0575 by Jacob et al
• Can we see gravitational collapse in (quantum) gravity perturbation theory?
• Some comments on the universal constant in DSR
• Comment on arXiv:1007.0718 by Lee Smolin
• Quantum superpositions of the speed of light
• Remarks on DSR and Gravity
• Note About String Theory with Deformed Dispersion Relations