### Abstract

A gauge-invariant quantum theory of the at Friedmann-Robertson-Walker (FRW) universe with dust is studied in terms of the Ashtekar variables. We use the reduced phase space quantization which has following advantages: (i) fundamental variables are all gauge invariant, (ii) there exists a physical time evolution of gauge-invariant quantities, so that the problem of time is absent and (iii) the reduced phase space can be quantized in the same manner as in ordinary quantum mechanics. Analyzing the dynamics of a wave packet, we show that the classical initial singularity is replaced by a big bounce in quantum theory. A possible interpretation of the result is that the wave function of the universe has been in superposition of states representating right-handed and left-handed systems before the big bounce.

Original language | English |
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Title of host publication | Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |

Pages | 137-140 |

Number of pages | 4 |

Publication status | Published - 2010 |

Event | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan Duration: 2010 Sep 21 → 2010 Sep 25 |

### Other

Other | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |
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Country | Japan |

City | Kyoto |

Period | 10/9/21 → 10/9/25 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010*(pp. 137-140)

**Quantum state of universe before big bounce.** / Amemiya, Fumitoshi; Koike, Tatsuhiko.

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

*Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010.*pp. 137-140, 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan, 10/9/21.

}

TY - GEN

T1 - Quantum state of universe before big bounce

AU - Amemiya, Fumitoshi

AU - Koike, Tatsuhiko

PY - 2010

Y1 - 2010

N2 - A gauge-invariant quantum theory of the at Friedmann-Robertson-Walker (FRW) universe with dust is studied in terms of the Ashtekar variables. We use the reduced phase space quantization which has following advantages: (i) fundamental variables are all gauge invariant, (ii) there exists a physical time evolution of gauge-invariant quantities, so that the problem of time is absent and (iii) the reduced phase space can be quantized in the same manner as in ordinary quantum mechanics. Analyzing the dynamics of a wave packet, we show that the classical initial singularity is replaced by a big bounce in quantum theory. A possible interpretation of the result is that the wave function of the universe has been in superposition of states representating right-handed and left-handed systems before the big bounce.

AB - A gauge-invariant quantum theory of the at Friedmann-Robertson-Walker (FRW) universe with dust is studied in terms of the Ashtekar variables. We use the reduced phase space quantization which has following advantages: (i) fundamental variables are all gauge invariant, (ii) there exists a physical time evolution of gauge-invariant quantities, so that the problem of time is absent and (iii) the reduced phase space can be quantized in the same manner as in ordinary quantum mechanics. Analyzing the dynamics of a wave packet, we show that the classical initial singularity is replaced by a big bounce in quantum theory. A possible interpretation of the result is that the wave function of the universe has been in superposition of states representating right-handed and left-handed systems before the big bounce.

UR - http://www.scopus.com/inward/record.url?scp=84887480862&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887480862&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887480862

SP - 137

EP - 140

BT - Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010

ER -