Quantum kinematics
| dc.creator | Gromov, N. A. | |
| dc.creator | Kuratov, V. V. | |
| dc.date | 2004-10-08 | |
| dc.date.accessioned | 2026-07-25T21:26:43Z | |
| dc.description | The FRT quantum group and space theory is reformulated from the standard mathematical basis to an arbitrary one. The $N$-dimensional quantum vector Cayley-Klein spaces are described in Cartesian basis and the quantum analogs of $(N-1)$-dimensional constant curvature spaces are introduced. Part of the 4-dimensional constant curvature spaces are interpreted as the non-commutative analogs of $(1+3)$ kinematics. A different unifications of Cayley-Klein and Hopf structures in a kinematics are described with the help of permutations. All permutations which lead to the physically nonequivalent kinematics are found and the corresponding non-commutative $(1+3)$ kinematics are investigated. As a result the quantum (anti) de Sitter, Minkowski, Newton, Galilei kinematics with the fundamental length, the fundamental mass and the fundamental velocity are obtained. | |
| dc.description | Talk given at the Int. conference "Non-Commutative Geometry and Representation Theory in Mathematical Physics", 5-10 July, 2004, Karlstad, Sweden and at XI Int. conference "Symmetry Metods in Physics", 21-24 June, 2004, Prague, Czech Republic, 24 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/hep-th/0410086 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0410086 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/79560 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantum kinematics | |
| dc.type | text |