Snyder’s quantized space-time and de Sitter special relativity

doi:10.1007/s11467-007-0045-0

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Front. Phys. ›› 2007, Vol. 2 ›› Issue (3) : 358-363. DOI: 10.1007/s11467-007-0045-0

Snyder’s quantized space-time and de Sitter special relativity

GUO Han-ying¹, HUANG Chao-guang², TIAN Yu³, XU Zhan⁴, ZHOU Bin⁵

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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.

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GUO Han-ying, HUANG Chao-guang, TIAN Yu, XU Zhan, ZHOU Bin. Snyder’s quantized space-time and de Sitter special relativity. Front. Phys., 2007, 2(3): 358‒363 https://doi.org/10.1007/s11467-007-0045-0