Noncommutative spaces of worldlines

  title={Noncommutative spaces of worldlines},
  author={{\'A}ngel Ballesteros and Iv'an Guti'errez-Sagredo and Francisco J. Herranz},
  journal={Physics Letters B},
  • Ángel Ballesteros, Iv'an Guti'errez-Sagredo, Francisco J. Herranz
  • Published 2019
  • Physics, Mathematics
  • Physics Letters B
  • Abstract The space of time-like geodesics on Minkowski spacetime is constructed as a coset space of the Poincare group in (3+1) dimensions with respect to the stabilizer of a worldline. When this homogeneous space is endowed with a Poisson homogeneous structure compatible with a given Poisson-Lie Poincare group, the quantization of this Poisson bracket gives rise to a noncommutative space of worldlines with quantum group invariance. As an oustanding example, the Poisson homogeneous space of… CONTINUE READING


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