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arXiv · 1912.02556

Dressed metric predictions revisited

Wojciech Kamiński·Maciej Kolanowski·Jerzy Lewandowski
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Abstract

It was recently shown that the volume operator of loop quantum cosmology (LQC) and all its positive powers are ill-defined on physical states. In this paper, we investigate how it effects predictions of cosmic microwave background (CMB) power spectra obtained within dressed metric approach for which expectations values of $\hat{a}$ are the key element. We find that almost every step in the procedure is ill-defined and relies heavily upon a (seemingly premature) numerical truncation. Thus, it suggests that more care is needed in making predictions regarding pre-inflationary physics. We propose a new scheme which contains only well-defined quantities. The surprising agreement of the hitherto models with observational data, especially at low angular momenta $l$ is explained.

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Wojciech Kamiński, Maciej Kolanowski, Jerzy Lewandowski. 2019-12-05. Dressed metric predictions revisited. https://doi.org/10.1088/1361-6382%2Fab7ee0

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