标题： 复合系统运动在扭变时空中的描述特征 显示英文标题

标题： Features of description of composite system's motion in twist-deformed space-time

摘要： 由$N$粒子组成的复合系统在扭曲变形的时空中被考虑。结果表明，在这种空间中，系统的质心运动依赖于相对运动。变形对复合系统质心运动的影响小于对单个粒子运动的影响，并且取决于系统组成。我们得出结论，如果我们认为粒子坐标对易关系与其质量成反比，则复合系统的坐标对易关系不依赖于其组成，并且与其总质量成反比，此外，质心运动独立于相对运动。此外，我们发现非对易性参数与质量的反比关系对于将扭曲变形空间中的坐标视为运动学变量以及保持弱等效原理非常重要。 显示英文摘要

摘要： Composite system made of $N$ particles is considered in twist-deformed space-time. 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 proportional inversely 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 preserving of the weak equivalence principle.