  We formulate a ''minimal'' interpretational scheme for fairly general
(minisuperspace) quantum cosmological models. Admitting as few exact
mathematical structure as is reasonably possible at the fundamental level, we
apply approximate WKB-techniques locally in minisuperspace in order to make
contact with the realm of predictions, and propose how to deal with the
problems of mode decomposition and almost-classicality without introducing
further principles. In order to emphasize the general nature of approximate
local quantum mechanical structures, we modify the standard WKB-expansion
method so as to rely on exact congruences of classical paths, rather than a
division of variables into classical and quantum. The only exact mathematical
structures our interpretation needs are the space of solutions of the
Wheeler-DeWitt equation and the Klein-Gordon type indefinite scalar product.
The latter boils down to plus or minus the ordinary quantum mechanical scalar
product in the local quantum structures. According to our approach all further
structures, in particular the concepts encountered in conventional physics,
such as observables, time and unitarity, are approximate. Our interpretation
coincides to some extent with the standard WKB-oriented view, but the way in
which the conventional concepts emerge, and the accuracy at which they are
defined at all, are more transparent. A simpler book-keeping of normalization
issues is automatically achieved. Applying our scheme to the Hawking model, we
find hints that the no-boundary wave function predicts a cosmic catastrophe
with some non-zero probability.
