Dimensional reduction in a quantum universe from the viewpoint of a minisuperspace model.

Details Dimensional reduction in a quantum universe from the viewpoint of a minisuperspace model. Dimensional reduction in a quantum universe from the viewpoint of a minisuperspace model.

Jan 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996ncimb.111...49h&link_type=abstract

Nuovo Cimento B, Vol. 111B, No. 1, p. 49 - 59

Physics

7

Universe: Quantum Gravity

Scientific paper

The author solves the Wheeler-DeWitt equation of a minisuperspace model for the wave function of the Universe as expansions in powers of the Planck mass, in several ways. It is shown that, within a minisuperspace approximation, the wave functions in low order in the expansions are a good approximation for every small radius (0 < a ≪ 1), where a is the cosmic-scale factor. This may mean that a "new phase" (the dynamical system described by the three-dimensional quantum Einstein gravity) exists at the very early stage of the evolution of the Universe.

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