Abstract
Counterexamples are given to Wheeler's “rule of unanimity,” which implies that every quantum solution for the problem of a closed universe within the framework of Einstein's field equations leads to a singularity. Bianchi IX universes filled with a perfect fluid with an equation of state of the type ρ=(λ−1)ρ (λ=const, between 1 and 2), quantized in the framework of the canonical scheme proposed by Lund and generalized by Demaret and Moncrief, are indeed shown to be nonsingular, apart from a set of measure zero of models including the closed Friedmann-Robertson-Walker models.
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