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A novel approach to study the properties of models with quantum-deformed relativistic symmetries relies on a noncommutative space of worldlines rather than the usual noncommutative spacetime.
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Kappa-deformation of Heisenberg algebra and coalgebra: generalized Poincare algebras and R-matrix
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Quantum field theory on noncommutative spaces
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Doubly special relativity versus κ \kappa -deformation of relativistic kinematics
J. Lukierski and A. Nowicki, · 2003
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A new ‘doubly special relativity’ theory from a quantum Weyl - Poincaré algebra
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A non-commutative Minkowskian spacetime from a quantum AdS algebra
A. Ballesteros, N. R. Bruno, and F. J. Herranz, · 2003
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2+1 gravity and doubly special relativity
L. Freidel, J. Kowalski-Glikman, and L. Smolin, · 2004
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Quantum symmetry, the cosmological constant and Planck-scale phenomenology
G. Amelino-Camelia, L. Smolin, and A. Starodubtsev, · 2004
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T. Jurić, S. Meljanac, D. Pikutić and R. Štrajn, · 2015
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Pathways to relativistic curved momentum spaces: de Sitter case study
G. Amelino-Camelia, G. Gubitosi and G. Palmisano, · 2016
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A. Borowiec, J. Lukierski, and V. N. Tolstoy, · 2016
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Curved momentum spaces from quantum groups with cosmological constant
A. Ballesteros, G. Gubitosi, I. Gutierrez-Sagredo, and F. J. Herranz, · 2017
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Non-commutative relativistic spacetimes and worldlines from 2+1 quantum (anti) de Sitter groups
A. Ballesteros, N. R. Bruno, and F. J. Herranz, · 2017
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A. Borowiec, J. Lukierski, and V. N. Tolstoy, · 2017
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The κ \kappa -(A)dS quantum algebra in (3+1) dimensions
A. Ballesteros, F. J. Herranz, F. Musso, and P. Naranjo, · 2017
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Curved momentum spaces from quantum (Anti-)de Sitter groups in (3+1) dimensions
A. Ballesteros, G. Gubitosi, I. Gutierrez-Sagredo, and F. J. Herranz, · 2018
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Physical constraints on quantum deformations of spacetime symmetries
F. Mercati and M. Sergola, · 2018
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Extended noncommutative Minkowski spacetimes and hybrid gauge symmetries
A. Ballesteros and F. Mercati, · 2018
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Noncommutative spaces of worldlines
A. Ballesteros, I. Gutierrez-Sagredo, and F. J. Herranz, · 2019
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Localization and reference frames in κ \kappa -Minkowski spacetime
F. Lizzi, M. Manfredonia, F. Mercati, and T. Poulain, · 2019
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The κ \kappa -(A)dS noncommutative spacetime
A. Ballesteros, I. Gutierrez-Sagredo, and F. J. Herranz · 2019
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The κ \kappa -Newtonian and κ \kappa -Carrollian algebras and their noncommutative spacetimes
A. Ballesteros, G. Gubitosi, I. Gutierrez-Sagredo and F. J. Herranz, · 2020
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