Deformation of nonrelativistic space-time and forces noticed by noninertial observer

英文摘要：

We consider the nonrelativistic particle moving on noncommutative space-time in the presence of constant force $\vec{F}$. Further, following the paper M. Daszkiewicz, C.J. Walczyk, Phys. Rev. D 77, 105008 (2008); arXiv: 0802.3575 [math-ph], we recall that the considered noncommutativity generates additional force terms, which appear in the corresponding Newton equation. We demonstrate that the same force terms can be generated by the proper noninertial transformation of classical nonrelativistic space-time.