The observations of the first traces of cosmic structure in the Cosmic Microwave Background are in excellent agreement with the predictions of inflation. However as we shall see, that account is not fully satisfactory, as it does not address the transition from an homogeneous and isotropic early stage to a latter one lacking those symmetries. We will argue that new physics is needed to account for such transition and that some of the proposals designed to deal with the measurement problem in quantum mechanics have the required features to play that role. We will explain how observations can be used to constrain the phenomenological proposals made in this regard.