# Noncommutative space-time models

@article{Gromov2005NoncommutativeSM, title={Noncommutative space-time models}, author={Nikolai A. Gromov and V. V. Kuratov}, journal={Czechoslovak Journal of Physics}, year={2005}, volume={55}, pages={1421-1426} }

The FRT quantum Euclidean spaces OqN are formulated in terms of Cartesian generators. The quantum analogs of N-dimensional Cayley-Klein spaces are obtained by contractions and analytical continuations. Noncommutative constant-curvature spaces are introduced as spheres in the quantum Cayley-Klein spaces. For N = 5 part of them is 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… Expand

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