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Evidence for Special Relativity with de Sitter Space-Time Symmetry
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" in dS-SR varies with time. By means
of the relation of the CDM model, 's time-dependency
becomes redshift -dependent. The dS-SR's predictions of
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 (de Sitter ratio) in dS-SR is estimated to be
. The effects of dS-SR become visible at the
cosmic space-time scale (i.e., the distance ). At that scale
dS-SR is more reliable than Einstein SR. The -variation with time is an
evidence of SR with de Sitter symmetry.Comment: 5 pages, 3 figure
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