Year: 2010
Type: article
Abstract: The quantum analogs of the N-dimensional Cayley–Klein spaces with different combinations of quantum and Cayley–Klein structures are described for nonminimal 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.
Source: Journal of Mathematical Physics
DOI: 10.1063/1.3460841
Author: N. A. Gromov
Institution: Institute of Chemistry, Komi Science Center
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Award: G608922719
OpenAlex ID: W2045699370