Generalized noncommutative Snyder spaces and projective geometry

@inproceedings{Gubitosi2020GeneralizedNS,
  title={Generalized noncommutative Snyder spaces and projective geometry},
  author={G. Gubitosi and {\'A}. Ballesteros and F. Herranz},
  year={2020}
}
  • G. Gubitosi, Á. Ballesteros, F. Herranz
  • Published 2020
  • Physics, Mathematics
  • 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 main idea behind the very first model of noncommutative spacetime, proposed by H.S. Snyder in 1947. In this framework, spacetime coordinates are the translation generators over a manifold that is symmetric under the required generators, while momenta are projective coordinates on such a manifold. In these proceedings we… CONTINUE READING

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    Publications referenced by this paper.
    SHOWING 1-10 OF 24 REFERENCES
    Lorentzian Snyder spacetimes and their Galilei and Carroll limits from projective geometry.
    5
    Classical and quantum mechanics of the nonrelativistic Snyder model
    63
    Deformed symmetry in Snyder space and relativistic particle dynamics
    46
    Relative-locality geometry for the Snyder model
    6
    Thermal and spectral dimension of (generalized) Snyder noncommutative spacetimes
    2
    Conformal symmetries of spacetimes
    54
    Classical and quantum mechanics of the nonrelativistic Snyder model in curved space
    32
    Classical dynamics on Snyder spacetime
    15