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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.33 no.s2 (2006), pp. 141-149
Noncommutative Analogs of Space-Time
N.A. Gromov, V.V. Kuratov
Department of Mathematics, Komi Science Center UrD RAS, Chernova str. 3a, Syktyvkar 167982, Russia
go backDepartment of Mathematics, Komi Science Center UrD RAS, Chernova str. 3a, Syktyvkar 167982, Russia
Abstract. The FRT theory of quantum Euclidean space ONq is reformulated in terms of Cartesian generators. For N = 5 the quantum analogs of 4-dimensional constant curvature spaces are introduced and part of them are interpreted as the noncommutative analogs of (1+3) space-time models. As a result the quantum (anti) de Sitter, Minkowski, Newton, Galilei kinematics with the fundamental length and the fundamental time are suggested.