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    Evidence for Special Relativity with de Sitter Space-Time Symmetry

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    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\alpha in dS-SR varies with time. By means of the t−zt-z relation of the Λ\LambdaCDM model, α\alpha's time-dependency becomes redshift zz-dependent. The dS-SR's predictions of Δα/α\Delta\alpha/\alpha 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 RR (de Sitter ratio) in dS-SR is estimated to be R≃2.73×1012lyR\simeq 2.73\times 10^{12}ly. The effects of dS-SR become visible at the cosmic space-time scale (i.e., the distance ≥109ly\geq 10^9 ly). At that scale dS-SR is more reliable than Einstein SR. The α\alpha-variation with time is an evidence of SR with de Sitter symmetry.Comment: 5 pages, 3 figure
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