Summary
We solve 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 our expansions are a good approximation for every small radius (0<a≪1), wherea 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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Horiguchi, T. Dimensional reduction in a quantum universe from the viewpoint of a minisuperspace model. Nuov Cim B 111, 49–59 (1996). https://doi.org/10.1007/BF02726200
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DOI: https://doi.org/10.1007/BF02726200