Evidence for special relativity with de Sitter space-time symmetry

YAN Mu-Lin

doi:10.1088/1674-1137/35/3/004

Chinese Physics C> 2011, Vol. 35> Issue(3) : 228-232 DOI: 10.1088/1674-1137/35/3/004

Evidence for special relativity with de Sitter space-time symmetry

YAN Mu-Lin

Interdisciplinary Center for Theoretical Study, Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

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Abstract：
I show the formulation of de Sitter Special Relativity (dS-SR) based on Dirac-Lu-Zou-Guo's discussions. dS-SR quantum mechanics is formulated, and the dS-SR Dirac equation for hydrogen is suggested. The equation in the earth-QSO framework reference is solved by means of the adiabatic approach. It's found that the fine-structure "constant" α in dS-SR varies with time. By means of the t-z relation of the ΛCDM model, α's time-dependency becomes redshift z-dependent. The dS-SR's predictions of Δα/α agree with data of spectra of 143 quasar absorption systems, the dS-space-time symmetry is SO(3,2) (i.e., anti-dS group) and the universal parameter R (de Sitter ratio) in dS-SR is estimated to be R≈2.73×10¹² ly. The effects of dS-SR become visible at the cosmic space-time scale (i.e., the distance ≥ 10⁹ ly). At that scale, dS-SR is more reliable than Einstein SR. The α-variation with time is evidence of SR with de Sitter symmetry.

References

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YAN Mu-Lin. Evidence for special relativity with de Sitter space-time symmetry[J]. Chinese Physics C, 2011, 35(3): 228-232. doi: 10.1088/1674-1137/35/3/004

YAN Mu-Lin. Evidence for special relativity with de Sitter space-time symmetry[J]. Chinese Physics C, 2011, 35(3): 228-232. doi: 10.1088/1674-1137/35/3/004 shu

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Received: 2010-06-12
Revised: 2010-08-17

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通讯作者: 陈斌, [email protected]

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沈阳化工大学材料科学与工程学院沈阳 110142

Evidence for special relativity with de Sitter space-time symmetry

Interdisciplinary Center for Theoretical Study, Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China

Received Date: 2010-06-12

Accepted Date: 2010-08-17

Available Online: 2011-03-05

Abstract: I show the formulation of de Sitter Special Relativity (dS-SR) based on Dirac-Lu-Zou-Guo's discussions. dS-SR quantum mechanics is formulated, and the dS-SR Dirac equation for hydrogen is suggested. The equation in the earth-QSO framework reference is solved by means of the adiabatic approach. It's found that the fine-structure "constant" α in dS-SR varies with time. By means of the t-z relation of the ΛCDM model, α's time-dependency becomes redshift z-dependent. The dS-SR's predictions of Δα/α agree with data of spectra of 143 quasar absorption systems, the dS-space-time symmetry is SO(3,2) (i.e., anti-dS group) and the universal parameter R (de Sitter ratio) in dS-SR is estimated to be R≈2.73×10¹² ly. The effects of dS-SR become visible at the cosmic space-time scale (i.e., the distance ≥ 10⁹ ly). At that scale, dS-SR is more reliable than Einstein SR. The α-variation with time is evidence of SR with de Sitter symmetry.

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