Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8727Physics of Non-Inertial Reference Frames and Quantum MechanicsKamalovT FКафедра физики; Московский государственный открытый университет; Moscow State Open UniversityTimKamalov@mail.ruMoscow State Open University010320103.1889308092016Copyright © 2010,2010The present model with higher time derivatives of coordinates is based on generalization of Newton's classical laws onto special class of arbitrary reference frames (both inertial and non-inertial ones) with body dynamics being described by higher order differential equations. Higher order derivatives could complement classical and quantum descriptions of physical reality as non-local hidden variables.non-local hidden variableshigher order time derivatives ofcoordinatesOstrogradskiis formalismextended dynamicsнелокальные скрытые параметрывысшие производные координаты по времениформализм Остроградскогообобщённая динамика Ньютонарасширенная динамика