Snyder's quantized space-time and de Sitter special relativity
Abstract
There is a one-to-one correspondence between Snyder's model in de Sitter space of momenta and the dS-invariant special relativity as well as a minimum uncertainty-like relation. This indicates that physics at the Planck length ℓP and the scale R = (3/Λ)1/2 should be dual to each other and there is in-between gravity of local dS-invariance characterized by a dimensionless coupling constant g = ℓP/R ∼ 10-61.
- Publication:
-
Frontiers of Physics in China
- Pub Date:
- July 2007
- DOI:
- arXiv:
- arXiv:hep-th/0607016
- Bibcode:
- 2007FrPhC...2..358G
- Keywords:
-
- Snyder's model;
- dS special relativity;
- correspondence;
- dS gravity;
- 03.30.+p;
- 98.80.Jk;
- 02.40.Dr;
- High Energy Physics - Theory
- E-Print:
- 7 pages