Quantum state of universe before big bounce

Fumitoshi Amemiya, Tatsuhiko Koike

Research output: Contribution to conferencePaper

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 languageEnglish
Pages137-140
Number of pages4
Publication statusPublished - 2010 Dec 1
Event20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan
Duration: 2010 Sep 212010 Sep 25

Other

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

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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  • Cite this

    Amemiya, F., & Koike, T. (2010). Quantum state of universe before big bounce. 137-140. Paper presented at 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan.