### Abstract

We present and analyze a gauge-invariant quantum theory of the Friedmann- Robertson-Walker universe with dust. We construct the reduced phase space spanned by gauge-invariant quantities by using the so-called relational formalism at the classical level. The reduced phase space thereby obtained can be quantized in the same manner as an ordinary mechanical system. This quantization procedure realizes a possible resolution to the problem of time and observables in canonical quantum gravity. We analyze the classical initial singularity of the theory by evolving a wave packet backward in time and evaluating the expectation value of the scale factor. It is shown that the initial singularity of the universe is avoided by the quantum gravitational effects.

Original language | English |
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Title of host publication | Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 |

Pages | 97-100 |

Number of pages | 4 |

Publication status | Published - 2009 |

Event | 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 - Tokyo, Japan Duration: 2009 Nov 30 → 2009 Dec 4 |

### Other

Other | 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 |
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Country | Japan |

City | Tokyo |

Period | 09/11/30 → 09/12/4 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009*(pp. 97-100)

**Gauge-invariant construction of quantum cosmology.** / Amemiya, Fumitoshi; Koike, Tatsuhiko.

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

*Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009.*pp. 97-100, 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, Japan, 09/11/30.

}

TY - GEN

T1 - Gauge-invariant construction of quantum cosmology

AU - Amemiya, Fumitoshi

AU - Koike, Tatsuhiko

PY - 2009

Y1 - 2009

N2 - We present and analyze a gauge-invariant quantum theory of the Friedmann- Robertson-Walker universe with dust. We construct the reduced phase space spanned by gauge-invariant quantities by using the so-called relational formalism at the classical level. The reduced phase space thereby obtained can be quantized in the same manner as an ordinary mechanical system. This quantization procedure realizes a possible resolution to the problem of time and observables in canonical quantum gravity. We analyze the classical initial singularity of the theory by evolving a wave packet backward in time and evaluating the expectation value of the scale factor. It is shown that the initial singularity of the universe is avoided by the quantum gravitational effects.

AB - We present and analyze a gauge-invariant quantum theory of the Friedmann- Robertson-Walker universe with dust. We construct the reduced phase space spanned by gauge-invariant quantities by using the so-called relational formalism at the classical level. The reduced phase space thereby obtained can be quantized in the same manner as an ordinary mechanical system. This quantization procedure realizes a possible resolution to the problem of time and observables in canonical quantum gravity. We analyze the classical initial singularity of the theory by evolving a wave packet backward in time and evaluating the expectation value of the scale factor. It is shown that the initial singularity of the universe is avoided by the quantum gravitational effects.

UR - http://www.scopus.com/inward/record.url?scp=84887436710&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887436710&partnerID=8YFLogxK

M3 - Conference contribution

SP - 97

EP - 100

BT - Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009

ER -