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

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Cited by in corpus (10)

• Yang's Model as Triply Special Relativity and the Snyder's Model--de Sitter Special Relativity Duality
• Cosmological Solutions with Torsion in a Model of de Sitter Gauge Theory of Gravity
• Generalized Relativistic Kinematics
• Graphene in curved Snyder space
• De Sitter spacetimes with torsion in the model of dS gauge theory of gravity
• Inflation in de Sitter spacetime and CMB large scales anomaly
• 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
• Acceleration of cosmic expansion through huge cosmological constant progressively reduced by submicroscopic information transfer
• Smooth Solutions and Discrete Imaginary Mass of the Klein-Gordon Equation in the de Sitter Background