2007/03/31 by Han-Ying Guo, Chao-Guang Huang, Yu Tian +3 · 2 citations
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Dimensionless quantity #Doubly special relativity #Duality (order theory) #Four-force #General relativity #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Planck length #Planck scale #Quantum gravity #Quantum mechanics #Spacetime #Special relativity #Theoretical physics #Theory of relativity #Universe #de Sitter invariant special relativity #gr-qc
paper · pdf · doi:10.1088/0264-9381/24/16/004
published as Class.Quant.Grav.24:4009-4036,2007 · 32 pages
openalex publication_date 2007/07/31 · arxiv created 2007/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Between Snyder's quantized space-time model in de Sitter space of momenta and the dS special relativity on dS-spacetime of radius R with Beltrami coordinates, there is a one-to-one dual correspondence supported by a minimum uncertainty-like argument. Together with the Planck length ℓ P , R ≃ (3/Λ) 1/2 should be a fundamental constant. They lead to a dimensionless constant g ∼ ℓ P R −1 = ( G ℏ c −3 Λ/3) 1/2 ∼ 10 −61 . These indicate that physics at these two scales should be dual to each other and there is in-between gravity of local dS-invariance characterized by g . A simple model of dS-gravity with a gauge-like action on umbilical manifolds may show these characteristics. It can pass the observation tests and support the duality.