Snyder's Model -- de Sitter Special Relativity Duality and de Sitter Gravity
| dc.creator | Guo, Han-Ying | |
| dc.creator | Huang, Chao-Guang | |
| dc.creator | Tian, Yu | |
| dc.creator | Wu, Hong-Tu | |
| dc.creator | Xu, Zhan | |
| dc.creator | Zhou, Bin | |
| dc.date | 2007-03-14 | |
| dc.date | 2007-08-14 | |
| dc.date.accessioned | 2026-07-07T11:21:53Z | |
| dc.date.available | 2026-07-07T11:21:53Z | |
| dc.description | Between Snyder's quantized space-time model in de Sitter space of momenta and the \dS special relativity on \dS-spacetime of radius $R$ with Beltrami coordinates, there is a one-to-one dual correspondence supported by a minimum uncertainty-like argument. Together with Planck length $\ell_P$, $R\simeq (3/Λ)^{1/2}$ should be a fundamental constant. They lead to a dimensionless constant $g{\sim\ell_PR^{-1}}=(G\hbar c^{-3}Λ/3)^{1/2}\sim 10^{-61}$. These indicate that physics at these two scales should be dual to each other and there is in-between gravity of local \dS-invariance characterized by $g$. A simple model of \dS-gravity with a gauge-like action on umbilical manifolds may show these characters. It can pass the observation tests and support the duality. | |
| dc.description | 32 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0703078 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0703078 | |
| dc.identifier | Class.Quant.Grav.24:4009-4036,2007 | |
| dc.identifier | doi:10.1088/0264-9381/24/16/004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/194395 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Snyder's Model -- de Sitter Special Relativity Duality and de Sitter Gravity | |
| dc.type | text |