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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
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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 (CC BY 3.0).

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Amelino-Camelia, G. Particle-Dependent Deformations of Lorentz Symmetry. Symmetry 2012, 4, 344-378.

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