Gauge-invariant construction of quantum cosmology

Fumitoshi Amemiya, Tatsuhiko Koike

Research output: Contribution to conferencePaperpeer-review


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
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


Other19th Workshop on General Relativity and Gravitation in Japan, JGRG 2009

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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