Possible quantum kinematics. II. Non-minimal case

Details Possible quantum kinematics. II. Non-minimal case Possible quantum kinematics. II. Non-minimal case

2010-01-22

arxiv.org/abs/1001.3978v1

J. Math. Phys., 2010, v. 51, No. 8, 083515

Physics

Mathematical Physics

13 pages, no figures

Scientific paper

The quantum analogs of the N-dimensional Cayley-Klein spaces with different combinations of quantum and Cayley-Klein structures are described for non-minimal multipliers, which include the first and the second powers of contraction parameters in the transformation of deformation parameter. The noncommutative analogs of (N-1)-dimensional constant curvature spaces are introduced. Part of these spaces for N=5 are interpreted as the noncommutative analogs of (1+3) space-time models. As a result the wide variety of the quantum deformations of realistic kinematics are suggested.

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