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

[1]

Dirac P A M. Annals of Mathmatics, 1935, 36(3): 657-6692 Murphy M T, Webb J K, Flambaum V V. Phys. Rev. Lett., 2007, 99: 239001-239001 arXiv:0708.3677 [astro-ph]; astro-ph/0612407; astro-ph/0911.45123 Murphy M T, Flambaum V V, Webb J K, Dzuba V V, Prochaska J X, Wolfe A M. Lec. Notes in Phys., 2004, 648: 1314 Webb J K, Murphy M T, Flambaum V V, Dzuba V A, Barrow J D, Churchill C W, Pochaska J X, Wolfe A M. Phys. Rev. Lett., 2001, 87: 091301-0913045 Webb J K, Flambaum V V, Churchill C W, Drinkwater M J, Barrow J D. Phys. Rev. Lett., 1999, 82: 884-8886 Uzan J P. Rev. of Mod. Phys., 2003, 75: 403-4557 Flambaum V V. Int. J. Mod. Phys. A, 2007, 22: 4937-49508 Bekenstein J D. Phys. Rev. D, 1982, 25: 1527-15399 Sandvik H B, Barrow J D, Magueijo J. Phys. Rev. Lett., 2002, 88: 031302-1-031302-410 Barrow J D, Phys Rev. D, 2005, 71: 083520-1-083520-7; Barrow J D, Sandvik H B, Magueijo J. Phys. Rev. D, 2002, 65: 063504-1-063504-9; D, 2002, 66: 043515-1-043515-611 Dvali G, Zaldarriaga M. Phys Rev Lett., 2002, 88: 091303-1-091303-412 Landau S, Sisterna P, Vucetich H. Phys. Rev. D, 2001, 63: 081303(R)-1-081303-413 LOOK K H (LU Qi-Keng), TSOU C L (ZOU Zhen-Long), KUO H Y (GUO Han-Ying). Acta Physica Sinica, 1974, 23: 225-237 (in Chinese)14 GUO Han-Ying, HUANG Chao-Guang, XU Zhan, ZHOU Bin. Phys. Lett. A, 2004, 331: 1-7, hep-th/040317115 YAN Mu-Lin, XIAO Neng-Chao, HUANGWei, LI Si. Com-mun. Theor. Phys., 2007, 48: 27-36, hep-th/0512319.16 Utiyama R. Phys. Rev., 1956, 101: 1597-160717 NIEH H T, YAN Mu-Lin. Ann. Phys., 1982, 138: 237-25918 YAN Mu-Lin. Int. Mod. Phys A (to appear), \Hydrogen Atom in de Sitter Special Relativity and Time Variation of Fine-Structure Constant", arXiv: 1004.3023 [physics.gen-ph]19 Born M, Fock V. Z. Phys., 1928, 51: 165-17520 Messiah A. Quantum Mechanics ., /. North-Holland Publishing Company, 197021 Dent T, Stern T, Wetterich C. Phys. Rev. D, 2008, 78: 103518-1-103508-1722 Weinberg S. Rev. Mod. Phys., 1989, 61: 1-23; Padmanab-han T. Phys. Rep., 2003, 380: 235-32023 Komatsu E et al. Astrophys. J. Suppl., 2009, 180: 330-37624 CHEN Shao-Xia, XIAO Neng-Chao, YAN Mu-Lin. Chinese Physics C, 2008, 32: 612-616, astro-ph/0703110

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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, bchen63@163.com

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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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