We argue that the Copenhagen interpretation of quantum mechanics cannot be
applied to quantum cosmology. Among the alternative interpretations, we cho
ose to apply the Bohm-de Broglie interpretation of quantum mechanics to can
onical quantum cosmology. For minisuperspace models, ive show that there is
no problem of time in this interpretation, and that quantum effects can av
oid the initial singularity, create inflation and isotropize the Universe.
For the general case, it is shown that, irrespective of any regularization
or choice of factor ordering of the Wheeler-DeWitt equation, the unique rel
evant quantum effect which does not break spacetime is the change of its si
gnature from lorentzian to euclidean. The other quantum effects are either
trivial or break the four-geometry of spacetime. A Bohm-de Broglie picture
of a quantum geometrodynamics is constructed, which allows the investigatio
n of these latter structures.