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In recent times there has been considerable interest in scenarios for quantumgravity in which particle kinematics is affected nonlinearly by the Planckscale, with encouraging results for the phenomenological prospects, but alsosome concerns that the nonlinearities might produce pathological properties forcomposite/multiparticle systems. We here focus on kinematics in the$\kappa$-Minkowski noncommutative spacetime, the quantum spacetime which hasbeen most studied from this perspective, and compare the implications of thealternative descriptions of the total momentum of a multiparticle system whichhave been so far proposed. We provide evidence suggesting that priority shouldbe given to defining the total momentum as the standard linear sum of themomenta of the particles composing the system. We also uncover a previouslyunnoticed feature concerning some (minute but conceptually important) effectson center-of-mass motion due to properties of the motion of the constituentsrelative to the center of mass.

Multi-particle systems in quantum spacetime and a novel challenge for center-of-mass motion