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" 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.
      PCAS:
  • 加载中
  • [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
  • 加载中

Get Citation
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
Milestone
Received: 2010-06-12
Revised: 2010-08-17
Article Metric

Article Views(2238)
PDF Downloads(484)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

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

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.

    HTML

Reference (1)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return