Nonlinear and quantum origin of doubly infinite family of modified addition laws for fourmomenta

@article{Lukierski2002NonlinearAQ,
  title={Nonlinear and quantum origin of doubly infinite family of modified addition laws for fourmomenta},
  author={Jerzy Lukierski and Anatol Nowicki},
  journal={Czechoslovak Journal of Physics},
  year={2002},
  volume={52},
  pages={1261-1268}
}
We show that infinite variety of Poincaré bialgebras with nontrivial classicalr-matrices generate nonsymmetric nonlinear composition laws for the fourmomenta. We also present the problem of lifting the Poincaré bialgebras to quantum Poincaré groups by using e.g. Drinfeld twist, what permits to provide the nonlinear composition law in any order of dimensionfull deformation parameterλ (from physical reasons we can putλ=λp whereλp is the Planck length). The second infinite variety of composition… 
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