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 ℓ 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 = ℓ P /R ∼ 10−61.
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Guo, Hy., Huang, Cg., Tian, Y. et al. Snyder’s quantized space-time and de Sitter special relativity. Front. Phys. China 2, 358–363 (2007). https://doi.org/10.1007/s11467-007-0045-0
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DOI: https://doi.org/10.1007/s11467-007-0045-0