Features of description of composite system’s motion in twist-deformed spacetime

Abstract

Composite system made of N particles is considered in twist-deformed spacetime. It is shown that in the space the motion of the center-of-mass of the system depends on the relative motion. Influence of deformation on the motion of the center-of-mass of composite system is less than on the motion of individual particles and depends on the system’s composition. We conclude that if we consider commutation relations for coordinates of a particle to be inversely proportional to its mass, the commutation relations for coordinates of composite system do not depend on its composition and are proportional inversely to system’s total mass, besides the motion of the center-of-mass is independent of the relative motion. In addition, we find that inverse proportionality of parameters of noncommutativity to mass is important for considering coordinates in twist-deformed space as kinematic variables and for preservation of the weak equivalence principle.