Generation of inflationary perturbations in the continuous spontaneous localization model: The second order power spectrum

TL;DR

This paper applies the continuous spontaneous localization (CSL) model to slow roll inflation, calculating the primordial power spectrum at next-to-leading order to explore potential observable differences in the CMB.

Contribution

It introduces a second order calculation of the inflationary power spectrum within the CSL model, advancing the understanding of quantum-to-classical transition in cosmology.

Findings

Derived the primordial power spectrum at second order in Hubble flow functions using CSL.

Identified features in the CMB spectra that could distinguish CSL-based predictions from standard models.

Provided a framework for testing objective collapse models against cosmological observations.

Abstract

Cosmic inflation, which describes an accelerated expansion of the early Universe, yields the most successful predictions regarding temperature anisotropies in the cosmic microwave background (CMB). Nevertheless, the precise origin of the primordial perturbations and their quantum-to-classical transition is still an open issue. The continuous spontaneous localization model (CSL), in the cosmological context, might be used to provide a solution to the mentioned puzzles by considering an objective reduction of the inflaton wave function. In this work, we calculate the primordial power spectrum at the next leading order in the Hubble flow functions that results from applying the CSL model to slow roll inflation within the semiclassical gravity framework. We employ the method known as uniform approximation along with a second order expansion in the Hubble flow functions. We analyze some features in the CMB temperature and primordial power spectra that could help to distinguish between the standard prediction and our approach.