### 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 language | English |
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Title of host publication | Gravitation and Astrophysics |

Subtitle of host publication | On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005 |

Pages | 278-283 |

Number of pages | 6 |

Publication status | Published - 2007 Dec 1 |

Event | 7th Asia-Pacific International Conference on Gravitation and Astrophysics, ICGA 2005 - Jhongli, Taiwan Duration: 2005 Nov 23 → 2005 Nov 26 |

### Publication series

Name | 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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### Other

Other | 7th Asia-Pacific International Conference on Gravitation and Astrophysics, ICGA 2005 |
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Country | Taiwan |

City | Jhongli |

Period | 05-11-23 → 05-11-26 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Astronomy and Astrophysics

### Cite this

*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).

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*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Further simplification of the constraints of four-dimensional gravity

AU - Soo, Cho-Pin

PY - 2007/12/1

Y1 - 2007/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84892693476&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84892693476&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9812569502

SN - 9789812569509

T3 - Gravitation and Astrophysics: On the Occasion of the 90th Year of General Relativity - Proceedings of the 7th Asia-Pacific International Conference, ICGA 2005

SP - 278

EP - 283

BT - Gravitation and Astrophysics

ER -