Meaning of Noncommutative Geometry and the Planck-Scale Quantum Group
| dc.creator | Majid, S. | |
| dc.date | 2000-06-21 | |
| dc.date.accessioned | 2026-07-07T04:10:03Z | |
| dc.date.available | 2026-07-07T04:10:03Z | |
| dc.description | This is an introduction for nonspecialists to the noncommutative geometric approach to Planck scale physics coming out of quantum groups. The canonical role of the `Planck scale quantum group' $C[x]\bicross C[p]$ and its observable-state T-duality-like properties are explained. The general meaning of noncommutativity of position space as potentially a new force in Nature is explained as equivalent under quantum group Fourier transform to curvature in momentum space. More general quantum groups $C(G^\star)\bicross U(g)$ and $U_q(g)$ are also discussed. Finally, the generalisation from quantum groups to general quantum Riemannian geometry is outlined. The semiclassical limit of the latter is a theory with generalised non-symmetric metric $g_{μν}$ obeying $\nabla_μg_{νρ}-\nabla_νg_{μρ}=0$ | |
| dc.description | 51 pages latex, many figures; see also less technical version, my JMP millenium article | |
| dc.identifier | https://arxiv.org/abs/hep-th/0006166 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0006166 | |
| dc.identifier | Lect.Notes Phys. 541 (2000) 227-276 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/50088 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Meaning of Noncommutative Geometry and the Planck-Scale Quantum Group | |
| dc.type | text |