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

Abstract
HTML
Reference
Related

PDF

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

[1]	Wenxi Zhai , Xiangdong Zhang . Gauss-Bonnet solution with a cloud of strings in de Sitter and anti-de Sitter space. Chinese Physics C, 2024, 48(1): 015101. doi: 10.1088/1674-1137/ad010d
[2]	Ata Sojasi , Ebrahim Yusofi , Majid Mohsenzadeh . Asymptotic-de sitter inflation in the light of the planck data. Chinese Physics C, 2018, 42(11): 115102. doi: 10.1088/1674-1137/42/11/115102
[3]	Hong Ma , Jin Li . Gravitational quasinormal modes of static Einstein-Gauss-Bonnet anti-de Sitter black holes. Chinese Physics C, 2018, 42(4): 045101. doi: 10.1088/1674-1137/42/4/045101
[4]	M. Mohsenzadeh , E. Yusofi . Higher order corrections to asymptotic-de Sitter inflation. Chinese Physics C, 2017, 41(8): 085101. doi: 10.1088/1674-1137/41/8/085101
[5]	S. Parsamehr . Gaupta-Bleuler triplet for massless spin-3/2 field in de Sitter space. Chinese Physics C, 2017, 41(9): 093106. doi: 10.1088/1674-1137/41/9/093106
[6]	S. Parsamehr , M. Mohsenzadeh . Gauge theory of massless spin-(3/2) field in de Sitter space-time. Chinese Physics C, 2016, 40(11): 113102. doi: 10.1088/1674-1137/40/11/113102
[7]	ZHAO Dong , LI Ming-Hua , WANG Ping , CHANG Zhe . Inflation in de Sitter spacetime and CMB large scale anomaly. Chinese Physics C, 2015, 39(9): 095101. doi: 10.1088/1674-1137/39/9/095101
[8]	MA Meng-Sen , ZHAO Hui-Hua . Quantized space-time and its influence on two physical problems. Chinese Physics C, 2014, 38(4): 045102. doi: 10.1088/1674-1137/38/4/045102
[9]	JIN Dan , YANG Ya-Dong . Space- and time-like kaon electromagnetic form factors in perturbative QCD. Chinese Physics C, 2012, 36(10): 941-946. doi: 10.1088/1674-1137/36/10/004
[10]	LIU Wei-Wei , LUO Zhi-Quan , YANG Juan , BIAN Gang . Quantum tunnelling of higher-dimensional Kerr-anti-de Sitter black holes beyond semi-classical approximation. Chinese Physics C, 2011, 35(1): 22-25. doi: 10.1088/1674-1137/35/1/005
[11]	LI Xin , CHANG Zhe , MO Xiao-Huan . Symmetries in a very special relativity and isometric group of Finsler space. Chinese Physics C, 2011, 35(6): 535-538. doi: 10.1088/1674-1137/35/6/004
[12]	ZHOU Hai-Qing . Two-photon-exchange contribution to proton form factors in both space-like and time-like regions. Chinese Physics C, 2010, 34(6): 869-873. doi: 10.1088/1674-1137/34/6/042
[13]	REN Yan-Yu , Efaaf M , ZHANG Wei-Ning . Inhomogeneous space-time structure and two-pion interferometry in NEXSPHERIO model. Chinese Physics C, 2010, 34(4): 472-478. doi: 10.1088/1674-1137/34/4/010
[14]	DONG Yu-Bing . Pion charge form factor and constraints from space-time translations. Chinese Physics C, 2010, 34(9): 1342-1345. doi: 10.1088/1674-1137/34/9/038
[15]	S. Pacetti¹ , 2 . Nucleon form factors: the space-time connection. Chinese Physics C, 2010, 34(6): 874-876.
[16]	LI Kang , Dulat Sayipjamal , . Non-commutative phase space and its space-time symmetry. Chinese Physics C, 2010, 34(7): 944-948. doi: 10.1088/1674-1137/34/7/003
[17]	CHEN Shao-Xia , XIAO Neng-Chao , YAN Mu-Lin . Variation of the fine-structure constant from the de Sitter invariant special relativity. Chinese Physics C, 2008, 32(8): 612-616. doi: 10.1088/1674-1137/32/8/004
[18]	Zhuang Pengfei , Liu Lianshou . Estimation of the Maximum Energy Density in High Energy Heavy Ion Collisions and the Space-time Region for the Formation of Quark Matter. Chinese Physics C, 1991, 15(S3): 297-305.
[19]	Xu Kaiwen . Covariant and Quantization of Spinning String in M_d × G Space Time. Chinese Physics C, 1988, 12(S2): 143-152.
[20]	XU BO-WEI . SPACE-TIME PROPERTY OF FERMION NUMBER. Chinese Physics C, 1979, 3(1): 60-66.

Access

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-06-12
Revised: 2010-08-17

Article Metric

Article Views(2425)
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

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.

HTML

Reference (1)

Evidence for special relativity with de Sitter space-time symmetry

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Evidence for special relativity with de Sitter space-time symmetry

HTML

目录