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arXiv · hep-th/0507009

Noncommutative space-time models

N. A. Gromov·V. V. Kuratov
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Abstract

The FRT quantum Euclidean spaces $O_q^N$ 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 a spheres in the quantum Cayley-Klein spaces. For N=5 part of them are interpreted as the noncommutative analogs of (1+3) space-time models. As a result the quantum (anti) de Sitter, Newton, Galilei kinematics with the fundamental length and the fundamental time are suggested.

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N. A. Gromov, V. V. Kuratov. 2005-07-01. Noncommutative space-time models. https://doi.org/10.1007/s10582-006-0020-y

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