  Inflation plays a central role in our current understanding of the universe.
According to the standard viewpoint, the homogeneous and isotropic mode of the
inflaton field drove an early phase of nearly exponential expansion of the
universe, while the quantum fluctuations (uncertainties) of the other modes
gave rise to the seeds of cosmic structure. However, if we accept that the
accelerated expansion led the universe into an essentially homogeneous and
isotropic space-time, with the state of all the matter fields in their vacuum
(except for the zero mode of the inflaton field), we can not escape the
conclusion that the state of the universe as a whole would remain always
homogeneous and isotropic. It was recently proposed in [A. Perez, H. Sahlmann
and D. Sudarsky, "On the quantum origin of the seeds of cosmic structure,"
Class. Quant. Grav. 23, 2317-2354 (2006)] that a collapse (representing physics
beyond the established paradigm, and presumably associated with a
quantum-gravity effect a la Penrose) of the state function of the inflaton
field might be the missing element, and thus would be responsible for the
emergence of the primordial inhomogeneities. Here we will discuss a formalism
that relies strongly on quantum field theory on curved space-times, and within
which we can implement a detailed description of such a process. The picture
that emerges clarifies many aspects of the problem, and is conceptually quite
transparent. Nonetheless, we will find that the results lead us to argue that
the resulting picture is not fully compatible with a purely geometric
description of space-time.
