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arXiv · 1001.3978

Possible quantum kinematics. II. Non-minimal case

N. A. Gromov
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Abstract

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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N. A. Gromov. 2010-01-22. Possible quantum kinematics. II. Non-minimal case. https://doi.org/10.1063/1.3460841

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