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. This indicates that physics at the Planck length ${\ell }_P$ and the scale $R=3/\Lambda$ should be dual to each other and there is in-between gravity of local \dS-invariance characterized by a dimensionless coupling constant $g={\ell }_P/R\sim 10^{-61}$.

8 pages

References in corpus (2)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• The Triality of Conformal Extensions of Three Kinds of Special Relativity

Cited by in corpus (4)

• Yang's Model as Triply Special Relativity and the Snyder's Model--de Sitter Special Relativity Duality
• De Sitter spacetimes with torsion in the model of dS gauge theory of gravity
• On Torsion-free Vacuum Solutions of the Model of de Sitter Gauge Theory of Gravity (II)
• On Torsion-free Vacuum Solutions of the Model of de Sitter Gauge Theory of Gravity