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The group structure of dynamical transformations between quantum reference frames
Angel Ballesteros, Flaminia Giacomini, Giulia Gubitosi
Recently, it was shown that when reference frames are associated to quantum systems, the transformation laws between such quantum reference frames need to be modified to take into…
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…
The -Newtonian and -Carrollian algebras and their noncommutative spacetimes
Angel Ballesteros, Giulia Gubitosi, Ivan Gutierrez-Sagredo +1
We derive the non-relativistic and ultra-relativistic limits of the -deformed symmetries and corresponding spacetime in (3+1) dimensions, with and without…