Quantum state of universe before big bounce

Fumitoshi Amemiya, Tatsuhiko Koike

研究成果: Paper査読

抄録

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.

本文言語English
ページ137-140
ページ数4
出版ステータスPublished - 2010 12月 1
イベント20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan
継続期間: 2010 9月 212010 9月 25

Other

Other20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
国/地域Japan
CityKyoto
Period10/9/2110/9/25

ASJC Scopus subject areas

  • 原子分子物理学および光学

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