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Snyder’s quantized space-time and de Sitter special relativity |
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| Authors: | Han-ying Guo Chao-guang Huang Yu Tian Zhan Xu Bin Zhou |
| Institution: | 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 |
| 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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