  The inhomogeneous fluctuations that underlie structure formation - galaxies
and CMB hotspots - might have been seeded by quantum cosmological fluctuations,
as magnified by some inflationary mechanism. The Halliwell-Hawking model for
these, as a lower-energy semiclassical limit, is expected to be shared by many
theories. E.g. an O((H/m_pl)^2) suppression of power at large scales results
from this. This model contains/suppresses very many terms; we want a
qualitative understanding of the meaning of these terms and of different
regimes resulting from different combinations of them. I study this with toy
models that have tractable mathematics: minisuperspace and, especially,
relational particle mechanics. In the present Seminar, I consider in particular
averaged terms with some lessons from Hartree-Fock approach to Atomic and
Molecular Physics. One needs to anchor this on variational principles; treating
the subsequent equations is a numerical venture.
