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We show that the $\kappa$-Poincar\'e Hopf algebra can be interpreted in the framework of curved momentum space leading to the relativity of locality \cite{AFKS}.
Differential calculus on compact matrix pseudogroups (quantum groups)
S. L. Woronowicz · 1989
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q-deformation of poincaré algebra
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Jerzy Lukierski, Henri Ruegg, Anatol Nowicki, and Valerii N. Tolstoi · 1991
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Classical paradoxes of locality and their possible quantum resolutions in deformed special relativity
Lee Smolin · 2010
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J. Klim and S. S. Majid · 2010
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Lorentz invariant field theory on kappa-minkowski space
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Interplay between curvature and Planck-scale effects in astrophysics and cosmology
Antonino Marciano, Giovanni Amelino-Camelia, Nicola Rossano Bruno, Giulia Gubitosi, Gianluca Mandanici, et al · 2010
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The principle of relative locality
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Giovanni Amelino-Camelia and Lee Smolin · 2009
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On limitations of the extent of inertial frames in non-commutative relativistic spacetimes
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