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Symmetry 2010, 2(1), 230-271; doi:10.3390/sym2010230
Article

Doubly-Special Relativity: Facts, Myths and Some Key Open Issues

Dipartimento di Fisica, Università di Roma “La Sapienza” and Sez. Roma1 INFN, P.le A. Moro 2, 00185 Roma, Italy
Received: 26 January 2010 / Accepted: 3 March 2010 / Published: 8 March 2010
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
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Abstract

I report, emphasizing some key open issues and some aspects that are particularly relevant for phenomenology, on the status of the development of “doubly-special” relativistic (“DSR”) theories with both an observer-independent high-velocity scale and an observer-independent small-length/large-momentum scale, possibly relevant for the Planck-scale/quantum-gravity realm. I also give a true/false characterization of the structure of these theories. In particular, I discuss a DSR scenario without modification of the energy-momentum dispersion relation and without the қ-Poincaré Hopf algebra, a scenario with deformed Poincaré symmetries which is not a DSR scenario, some scenarios with both an invariant length scale and an invariant velocity scale which are not DSR scenarios, and a DSR scenario in which it is easy to verify that some observable relativistic (but non-special-relativistic) features are insensitive to possible nonlinear redefinitions of symmetry generators.
Keywords: Poincaré symmetries; quantum spacetime; quantum gravity Poincaré symmetries; quantum spacetime; quantum gravity
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Amelino-Camelia, G. Doubly-Special Relativity: Facts, Myths and Some Key Open Issues. Symmetry 2010, 2, 230-271.

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