Equivalent forces in Newton equation from twist deformations and noninertial coordinate frames

Abstract

We compare two ways of force terms generating in the model of nonrelativistic particle moving in the presence of constant field force $\vec{F}$. First of them uses the twist-deformed N-enlarged Newton-Hooke quantum space-times while the second one incorporates the Coriolis transformations of classical space. Particularly, we find the conditions for which the both treatments provide the same force terms. The presented investigations are performed by analogy to the schemes and ideas proposed in paper [1].