The slow roll condition and the amplitude of the primordial spectrum of cosmic fluctuations: Contrasts and similarities of standard account and the "collapse scheme"

Abstract

The inflationary paradigm enjoys a very wide acceptance in the cosmological community, due in large part to the fact that it is said to "naturally account" for a nearly scale independent power primordial spectrum of fluctuations which is in very good agreement with the observations. The expected overall scale of the fluctuations in most models, turns out to be too large, because it is inversely proportional to the slow roll parameter, which is expected to be very small. This fact requires the fine tuning of the inflaton potential. In series of recent works it has been argued that the success of the inflationary picture is not fully justified in terms of the rules of quantum theory as applied to the cosmological setting and that an extra element, something akin to a self induced collapse of the wave function is required. There, it was suggested that the incorporation of such collapse in the treatment might avoid the need for fine tuning of the potential that afflicts most inflationary models. In this article we will discuss in detail the manner in which one obtains the estimation of the magnitude of the perturbations in the new scheme and that of the standard accounts, comparing one of the most popular among the later and that corresponding to the new proposal. We will see that the proposal includes a collapse scheme that bypasses the problem, but we will see that the price seems to a be a teleological, and thus unphysical, fine tuning of the characteristics of collapse.

arXiv comment22 pages, accepted for publication in Classical and Quantum Gravity

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