Holographic bounds on the UV cutoff scale in inflationary cosmology

TL;DR

This paper explores how holographic principles impose bounds on the UV cutoff scale in inflationary cosmology, linking quantum fluctuations, entropy measures, and potential observable effects in the CMB.

Contribution

It proposes entanglement entropy as a natural measure for quantum perturbations and derives holographic bounds on the UV cutoff in inflationary models.

Findings

Holographic bounds depend on the coarse-graining prescription.

Entanglement entropy provides a natural entropy measure.

Bounds influence the detectability of new physics in the CMB.

Abstract

We discuss how holographic bounds can be applied to the quantum fluctuations of the inflaton. In general the holographic principle will lead to a bound on the UV cutoff scale of the effective theory of inflation, but it will depend on the coarse-graining prescription involved in calculating the entropy. We propose that the entanglement entropy is a natural measure of the entropy of the quantum perturbations, and show which kind of bound on the cutoff it leads to. Such bounds are related to whether the effects of new physics will show up in the CMB.