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 ?_P 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 = ?_P/R ~ 10^-61.