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Snyder’s quantized space-time and de Sitter special relativity |
GUO Han-ying1, HUANG Chao-guang2, TIAN Yu3, XU Zhan4, ZHOU Bin5 |
1.Institute of Theoretical Physics, Chinese Academy of Sciences, P. O. Box 2735, Beijing 100080, China; 2.Institute of High Energy Physics, Chinese Academy of Sciences, P. O. Box 918-4, Beijing 100049, China; 3.Department of Physics, Beijing Institute of Technology, Beijing 100081, China; 4.Physics Department, Tsinghua University, Beijing 100084, China; 5.Department of Physics, Beijing Normal University, Beijing 100875, China |
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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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Issue Date: 05 September 2007
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