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It has been argued that the standard inflationary scenario suffers from aserious deficiency as a model for the origin of the seeds of cosmic structure:it can not truly account for the transition from an early homogeneous andisotropic stage to another one lacking such symmetries. The issue has oftenbeen thought as a standard instance of the "quantum measurement problem", butas has been recently argued by some of us the situation reaches a criticallevel in the cosmological context of interest here. This has lead to a proposalin which the standard paradigm is supplemented by a hypothesis concerning theself-induced dynamical collapse of the wave function, as representing thephysical mechanism through which such change of symmetry is brought forth. Thisproposal was formulated within the context of semiclassical gravity. Here weinvestigate an alternative realization of such idea implemented directly withinthe standard analysis in terms of a quantum field jointly describing theinflaton and metric perturbations, the so called Mukhanov-Sasaki variable. Weshow that even though the prescription is quite different, the theoreticalpredictions include some deviations from the standard ones, which are indeedvery similar to those found in the early studies. We briefly discuss thedifferences between the two at both, the conceptual and practical levels.

The collapse of the wave function in the joint metric-matter quantization for inflation