93 citations · 2.1k across the 117 of their papers we have counts for
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Noncommutative spacetimes versus noncommutative spaces of geodesics
Francisco J. Herranz, Angel Ballesteros, Giulia Gubitosi +1
The aim of this contribution is twofold. First, we show that when two (or more) different quantum groups share the same noncommutative spacetime, such an 'ambiguity' can be resolve…
-Galilean and -Carrollian noncommutative spaces of worldlines
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo +1
The noncommutative spacetimes associated to the -Poincaré relativistic symmetries and their "non-relativistic" (Galilei) and "ultra-relativistic" (Carroll) limits are indistingu…
All noncommutative spaces of -Poincaré geodesics
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
Noncommutative spaces of geodesics provide an alternative way of introducing noncommutative relativistic kinematics endowed with quantum group symmetry. In this paper we present ex…
The noncommutative space of light-like worldlines
Angel Ballesteros, Ivan Gutierrez-Sagredo, Francisco J. Herranz
The noncommutative space of light-like worldlines that is covariant under the light-like (or null-plane) -deformation of the (3+1) Poincaré group is fully constructed as the qua…
Fuzzy worldlines with -Poincaré symmetries
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo +1
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…
Generalized noncommutative Snyder spaces and projective geometry
Giulia Gubitosi, Angel Ballesteros, Francisco J. Herranz
Given a group of kinematical symmetry generators, one can construct a compatible noncommutative spacetime and deformed phase space by means of projective geometry. This was the mai…