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Information × Registration Number 0219U102287, 0119U103196 , R & D reports Title Fundamental problems of quantized space theory popup.stage_title Head Gnatenko Khrystyna P., Кандидат фізико-математичних наук Registration Date 26-12-2019 Organization Ivan Franko National University of Lviv popup.description2 Fundamental problems of the theory of quantum space were studied and the ways to solve the problems were proposed. It was found the dependence of parameters of the deformed algebra on the mass on which the law of conservation of energy in the quantum space is satisfied and the equivalence principle is preserved. Features of the motion of system of particles with taking into account space quantization on the Planck scale were examined and the problem of the description of motion of a macroscopic body was solved sn quantum space which is described by deformed relations for coordinates and momenta with arbitrary deformation function, as well as in a space with coordinate-dependent noncommutativity. Conditions on the parameters of a deformed algebra with an arbitrary deformation function in which Poisson brackets for coordinates and momenta of the center of mass reproduce the algebra relation were found. On the basis of the obtained results and conclusions, the theory of quantum space with preserved law of conservation of energy, equivalence principle, spherical symmetry time-reversal symmetry was constructed. Product Description popup.authors popup.nrat_date 2020-04-02 Close