## 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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Pages | 137-140 |

Number of pages | 4 |

Publication status | Published - 2010 Dec 1 |

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 |

## ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics