Gauge-invariant construction of quantum cosmology

Fumitoshi Amemiya, Tatsuhiko Koike

Research output: Contribution to conferencePaper

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 languageEnglish
Pages97-100
Number of pages4
Publication statusPublished - 2009 Dec 1
Event19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 - Tokyo, Japan
Duration: 2009 Nov 302009 Dec 4

Other

Other19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009
CountryJapan
CityTokyo
Period09/11/3009/12/4

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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  • Cite this

    Amemiya, F., & Koike, T. (2009). Gauge-invariant construction of quantum cosmology. 97-100. Paper presented at 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, Japan.