On the creation of spacetime volume and gravity in loop gravity

Shao Dan; Shao Liang; Shao Chang-Gui

doi:10.7498/aps.60.120401

Abstract

Using the 4-simplex and its dual-skeleton spin networks, a quantum transition of pure spacetime is described. The change of vertex volumes between successive steps of the transition of the three-dimensional space woven by spin networks is demonstrated. At the same time, a model of quantum flate fluctuation of the four-dimensional spacetime is given. Employing the excitations created when the loops on the edges of spin network pierce sarfaces, a 2 order symmerric tensor hab is obtained in three-dimensional space. Based on the viewpoint that the spacetime is excitation and transition system, the creation and the change mechanisms of the gravitational field h are investigated.

Keywords:

Authors and contacts

1.
Institute of Light and Electronic Infromation, Jianghan University, Wuhan 430056, China;
2.
Department of Applied Physics, Wuhan University of Science and Technology, Wuhan 430081, China;
3.
Institute of Theoretical Physics, Hubei Education University, Wuhan 430205, China

References

[1]	Rovelli C 2004 Quantum Gravity (Cambrideg: Cambridge University Press)
[2]
[3]	Ashtekar A, Tate R 1991 Non-pertubative Canonical Gravity (Singapore: World Scientific)
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[5]	Thiemann T 2006 Introduction to Modern Canonicl Relativity (Cambrideg: Cambrideg University Press)
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[7]	Rovelli C, Smolin L 1990 Nucl. Phys. B 331 80
[8]	Ashtekar A, Rovelli C, Smolin L 1992 Phys. Rev. Lett. 69 237
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[10]	Shao D, Shao L, Shao C G 2008 Chin. Phys. Lett. 40 46
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[13]	Shao D, Shao L, Shao C G 2010 Int. J. Mod. Phys. A 25 1339
[14]	Krasnov K 1998 Class. Quantum Grav. 15 L47
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[17]	Shao L, Shao D, Shao C G, Zhang Z Q 2006 Acta Phys. Sin. 55 5637 (in Chinese) [邵亮、邵丹、邵常贵、张祖全 2006 物理学报 55 5637]
[18]
[19]	De Pietri R, Rovelli C 1996 Phys. Rev. D 54 2664
[20]	Major S, Smolin L 1996 Nucl. Phys. B 473 263
[21]

Cited By

[1]	Rovelli C 2004 Quantum Gravity (Cambrideg: Cambridge University Press)
[2]
[3]	Ashtekar A, Tate R 1991 Non-pertubative Canonical Gravity (Singapore: World Scientific)
[4]
[5]	Thiemann T 2006 Introduction to Modern Canonicl Relativity (Cambrideg: Cambrideg University Press)
[6]
[7]	Rovelli C, Smolin L 1990 Nucl. Phys. B 331 80
[8]	Ashtekar A, Rovelli C, Smolin L 1992 Phys. Rev. Lett. 69 237
[9]
[10]	Shao D, Shao L, Shao C G 2008 Chin. Phys. Lett. 40 46
[11]
[12]
[13]	Shao D, Shao L, Shao C G 2010 Int. J. Mod. Phys. A 25 1339
[14]	Krasnov K 1998 Class. Quantum Grav. 15 L47
[15]
[16]
[17]	Shao L, Shao D, Shao C G, Zhang Z Q 2006 Acta Phys. Sin. 55 5637 (in Chinese) [邵亮、邵丹、邵常贵、张祖全 2006 物理学报 55 5637]
[18]
[19]	De Pietri R, Rovelli C 1996 Phys. Rev. D 54 2664
[20]	Major S, Smolin L 1996 Nucl. Phys. B 473 263
[21]

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