具有de Sitter时空对称性的狭义相对论的证据
Evidence for Special Relativity with de Sitter Space-Time Symmetry
摘要：
在狄拉克-陆邹-郭讨论的基础上，给出了德西特狭义相对论（dS-SR）的表述。建立了dS-SR量子力学方程，提出了氢原子的dS-SR Dirac方程。在地球-类星体框架参考中，用绝热方法求解方程。发现dS-SR的精细结构“常数”$α$随时间变化。利用$Λ$ CDM模型的$t-z$关系，$α$的时间依赖性变为红移$z$依赖性. dS-SR对$Δα/α$的预测与143个类星体吸收系统的光谱数据一致，dS时空对称性为SO（3，2）（即，抗dS组）$\;$和dS-SR中的通用参数$R$（de Sitter比率）估计为$R\simeq 2.73\times 10^{12}ly$。dS-SR的效应在宇宙时空尺度上变得可见（即，距离$\geq 10^9 ly$）。在该尺度下，dS-SR比Einstein SR更可靠。$α$随时间的变化是SR具有de Sitter对称性的证据。
英文摘要：
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 $Λ$CDM 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 $R\simeq 2.73\times 10^{12}ly$. The effects of dS-SR become visible at the cosmic space-time scale (i.e., the distance $\geq 10^9 ly$). At that scale dS-SR is more reliable than Einstein SR. The $α$-variation with time is an evidence of SR with de Sitter symmetry.
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