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Symmetry 2012, 4(3), 344-378; doi:10.3390/sym4030344

Particle-Dependent Deformations of Lorentz Symmetry

Dipartimento di Fisica, Sapienza University and INFN, Sez. Roma1, P. le Moro 2, Roma 00185, Italy
Received: 25 May 2012 / Revised: 21 June 2012 / Accepted: 26 June 2012 / Published: 3 July 2012
Download PDF [447 KB, 5 July 2012; original version 3 July 2012]


I report results suggesting that it is possible to introduce laws of relativistic kinematics endowing different types of particles with suitably different deformed-Lorentz-symmetry properties. I also consider some possible applications of these results, among which I highlight those relevant for addressing a long-standing challenge in the description of composite particles, such as atoms, within quantum-gravity-inspired scenarios with Planck-scale deformations of Lorentz symmetry. Some of the new elements here introduced in the formulation of relativistic kinematics appear to also provide the starting point for the development of a correspondingly novel mathematical formulation of spacetime-symmetry algebras.
Keywords: Lorentz symmetry; quantum gravity; Hopf algebras Lorentz symmetry; quantum gravity; Hopf algebras
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. Particle-Dependent Deformations of Lorentz Symmetry. Symmetry 2012, 4, 344-378.

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