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

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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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 which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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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