2021/07/23 by Beatriz Elizaga Navascués, Guillermo A. Mena Marugán, Santiago Prado · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Cosmology #Cosmology and Gravitation Theories #Isotropy #Loop quantum cosmology #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum cosmology #Quantum gravity #Quantum mechanics #Quantum state #Set (abstract data type) #Statistical physics #Theoretical physics #Vacuum state #gr-qc
paper · pdf · doi:10.1103/physrevd.104.083541
published in arXiv (Cornell University) (Cornell University) · 13 pages, 2 figures. We have corrected a misprint in Eq. (2.12) and its consequence on Fig. 1
openalex publication_date 2021/07/23 · openalex created_date 2021/11/08 · arxiv created 2021/12/29 · arxiv updated 2021/12/30 · openalex updated_date 2026/08/05
We study the compatibility of the quantum homogeneitiy and isotropy hypothesis (QHIH), proposed by Ashtekar and Gupt to restrict the choice of vacuum state for the cosmological perturbations in Loop Quantum Cosmology (LQC), with the requirement that the selected vacuum should lead to a power spectrum that does not oscillate. We inspect in close detail the procedure that these authors followed to construct a set of states satisfying the QHIH, and how a preferred vacuum can be determined within this set. We find a step that is not univocally specified in this procedure, in relation with the replacement of the set of states that was originally allowed by the QHIH with an alternative set that is more manageable. In fact, the first of these sets does not contain the state that has been used in most of the implementations of the QHIH to the analysis of the power spectrum of the perturbations in LQC. We focus our attention on the original set picked out by the QHIH and investigate whether some of its elements may display a non-oscillatory behavior. We show that, to the extent to which the techniques used in this paper apply, this possibility is feasible. Thus, the two aforementioned criteria for the physical restriction of the vacuum state in LQC are compatible with each other and not exclusive.