In any approach to qunatum gravity, it is crucial to look for observational effects. In my talk, I discuss how quantum gravitational contributions to the anisotropy spectrum of the cosmic microwave background arise in the framework of quantum geometrodynamics (Wheeler-DeWitt equation). From the present non-observation of these contributions, one finds a constraint on the Hubble parameter of inflation. I finally compare these results with the corresponding predictions from loop quantum cosmology.
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