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• W2196348521 abstract "We present the first detailed study of the kinematics of free relativistic particles whose symmetries are described by a quantum deformation of the de Sitter algebra, known as $q$-de Sitter Hopf algebra. The quantum deformation parameter is a function of the Planck length $ell$ and the de Sitter radius $H^{-1}$, such that when the Planck length vanishes, the algebra reduces to the de Sitter algebra, while when the de Sitter radius is sent to infinity one recovers the $kappa$-Poincar'e Hopf algebra. In the first limit the picture is that of a particle with trivial momentum space geometry moving on de Sitter spacetime, in the second one the picture is that of a particle with de Sitter momentum space geometry moving on Minkowski spacetime. When both the Planck length and the inverse of the de Sitter radius are non-zero, effects due to spacetime curvature and non-trivial momentum space geometry are both present and affect each other. The particles' motion is then described in a full phase space picture. We find that redshift effects that are usually associated to spacetime curvature become energy-dependent. Also, the energy dependence of particles' travel times that is usually associated to momentum space non-trivial properties is modified in a curvature-dependent way." @default.
• W2196348521 created "2016-06-24" @default.
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• W2196348521 date "2016-06-24" @default.
• W2196348521 modified "2023-10-14" @default.
• W2196348521 title "Kinematics of particles with quantum-de Sitter-inspired symmetries" @default.
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• W2196348521 doi "https://doi.org/10.1103/physrevd.93.124063" @default.
• W2196348521 hasPublicationYear "2016" @default.
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