Primordial power spectrum from an objective collapse mechanism: The simplest case

In this work we analyzed the physical origin of the primordial inhomogeneities during the inflation era.

The proposed framework is based, on the one hand, on semiclassical gravity, in which only the matter fields are quantized and not the spacetime metric.

Secondly, we incorporate an objective collapse mechanism based on the Continuous Spontaneous Localization (CSL) model, and we apply it to the wavefunction associated with the inflaton field.

This is introduced due to the close relation between cosmology and the so-called ``measurement problem'' in Quantum Mechanics.

In particular, in order to break the homogeneity and isotropy of the initial Bunch-Davies vacuum, and thus obtain the inhomogeneities observed today, the theory requires something akin to a ``measurement'' (in the traditional sense of Quantum Mechanics).

This is because the linear evolution driven by Schr\"odinger's equation does not break any initial symmetry.

The collapse mechanism given by the CSL model provides a satisfactory mechanism for breaking the initial symmetries of the Bunch-Davies vacuum.

The novel aspect in this work is that the constructed CSL model arises from the simplest choices for the collapse parameter and operator.

From these considerations, we obtain a primordial spectrum that has the same distinctive features as the standard one, which is consistent with the observations from the Cosmic Microwave Background.

;Comment: 9 pages.

Final version.

Published in BAAA 65