Further simplification of the constraints of four-dimensional gravity

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The super-Hamiltonian of 4-dimensional gravity as simplified by Ashtekar through the use of gauge potential and densitized triad variables can furthermore be succinctly expressed as a Poisson bracket between the volume element and other fundamental gauge-invariant elements of 3-geometry. This observation naturally suggests a reformulation of non-perturbative quantum gravity wherein the Wheeler-DeWitt Equation is identical to the requirement of the vanishing of the corresponding commutator. Moreover, this reformulation singles out spin network states as the preeminent basis for expansion of all physical states.

Original languageEnglish
Title of host publicationGravitation and Astrophysics
Subtitle of host publicationOn the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005
Pages278-283
Number of pages6
Publication statusPublished - 2007 Dec 1
Event7th Asia-Pacific International Conference on Gravitation and Astrophysics, ICGA 2005 - Jhongli, Taiwan
Duration: 2005 Nov 232005 Nov 26

Publication series

NameGravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005

Other

Other7th Asia-Pacific International Conference on Gravitation and Astrophysics, ICGA 2005
CountryTaiwan
CityJhongli
Period05-11-2305-11-26

Fingerprint

simplification
gravitation
commutators
brackets
requirements
expansion
geometry

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics

Cite this

Soo, C-P. (2007). Further simplification of the constraints of four-dimensional gravity. In Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005 (pp. 278-283). (Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005).
Soo, Cho-Pin. / Further simplification of the constraints of four-dimensional gravity. Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005. 2007. pp. 278-283 (Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005).
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Soo, C-P 2007, Further simplification of the constraints of four-dimensional gravity. in Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005. Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005, pp. 278-283, 7th Asia-Pacific International Conference on Gravitation and Astrophysics, ICGA 2005, Jhongli, Taiwan, 05-11-23.

Further simplification of the constraints of four-dimensional gravity. / Soo, Cho-Pin.

Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005. 2007. p. 278-283 (Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Soo C-P. Further simplification of the constraints of four-dimensional gravity. In Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005. 2007. p. 278-283. (Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005).