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arXiv · 1606.04692

Generalized relativistic kinematics in Poincar\'e-invariant models

B. Ivetic·S. Mignemi·A. Samsarov
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Abstract

Assuming the validity of the relativity principle, we discuss the implications on relativistic kinematics of a deformation of the Poincar\'e invariance that preserves the Poincar\'e algebra, and only modifies its action on phase space in a Lorentz-invariant way. We show that, in contrast to the case where the Poincar\'e algebra is deformed, the action of boosts on two-particle states is not affected, while the addition law of momenta is to a large extent arbitrary. We give some nontrivial examples of this arising from doubly special relativity and noncommutative geometry and show that Hopf-algebra methods give equivalent results.

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B. Ivetic, S. Mignemi, A. Samsarov. 2016-06-15. Generalized relativistic kinematics in Poincar\'e-invariant models. https://doi.org/10.1103/physrevd.94.064064

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