  In this work we consider a wide variety of alternatives opened when applying
the continuous spontaneous localization (CSL) dynamical collapse theory to the
inflationary era. The definitive resolution of many of the issues discussed
here will have to await, not only for a general relativistic CSL theory, but
for a fully workable theory of quantum gravity. Our concern here is to explore
these issues, and to warn against premature conclusions. This exploration
includes: two different approaches to deal with quantum field theory and
gravitation, the identification of the collapse-generating operator and the
general nature and values of the parameters of the CSL theory. All the choices
connected with these issues have the potential to dramatically alter the
conclusions one can draw. We also argue that the incompatibilities found in a
recent paper, between the CSL parameter values and the CMB observational data,
are associated with specific choices made for the extrapolation to the
cosmological context of the CSL theory (as it is known to work in
non-relativistic laboratory situations) which do not represent the most natural
ones.
