The Beltrami Model of De Sitter Space: From Snyder's quantized space-time to de Sitter invariant relativity
| dc.creator | Guo, Han-Ying | |
| dc.date | 2006-07-04 | |
| dc.date.accessioned | 2026-07-07T07:16:48Z | |
| dc.date.available | 2026-07-07T07:16:48Z | |
| dc.description | In terms of the Beltrami model of de Sitter space we show that there is an interchangeable relation between Snyder's quantized space-time model in dS-space of momenta at the Planck length $\ell_P=(G\hbar c^{-3})^{1/2}$ and the dS-invariant special relativity in dS-spacetime of radius $R\simeq(3Λ^{-1})^{1/2}$, which is another fundamental length related to the cosmological constant. Here, the cosmological constant $Λ$ is regarded as a fundamental constant together with the speed of light $c$, Newton constant $G$ and Planck constant $\hbar$. Furthermore, the physics at two fundamental scales of length, the \dS-radius $R$ and the Planck length $\ell_P$, should be dual to each other and linked via the gravity with local dS-invariance characterized by a dimensionless coupling constant $g= \sqrt{3} \ell_P/R\simeq(G\hbar c^{-3}Λ)^{1/2}\sim 10^{-61}$. | |
| dc.description | 15 pages. Invited talk given at `International workshop on noncommutative geometry and physics', Beijing, Nov. 7-10, 2005. To appear in the proceedings | |
| dc.identifier | https://arxiv.org/abs/hep-th/0607017 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0607017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113722 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Beltrami Model of De Sitter Space: From Snyder's quantized space-time to de Sitter invariant relativity | |
| dc.type | text |