Gauge-invariant construction of quantum cosmology

Fumitoshi Amemiya, Tatsuhiko Koike

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
Title of host publicationProceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009
Pages97-100
Number of pages4
Publication statusPublished - 2009
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

Fingerprint

cosmology
universe
gravitational effects
quantum theory
wave packets
dust
gravitation
formalism

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Amemiya, F., & Koike, T. (2009). Gauge-invariant construction of quantum cosmology. In Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009 (pp. 97-100)

Gauge-invariant construction of quantum cosmology. / Amemiya, Fumitoshi; Koike, Tatsuhiko.

Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. 2009. p. 97-100.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Amemiya, F & Koike, T 2009, Gauge-invariant construction of quantum cosmology. in Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. pp. 97-100, 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009, Tokyo, Japan, 09/11/30.
Amemiya F, Koike T. Gauge-invariant construction of quantum cosmology. In Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. 2009. p. 97-100
Amemiya, Fumitoshi ; Koike, Tatsuhiko. / Gauge-invariant construction of quantum cosmology. Proceedings of the 19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009. 2009. pp. 97-100
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