Observe the open universe in the sky?

TL;DR

This paper explores the observable implications of landscape theories predicting an open universe with negative curvature if inflation lasts more than 62 e-foldings, analyzing how background curvature affects observable e-foldings and discussing recent related research.

Contribution

It introduces a new perspective on how non-flat backgrounds suppress observable e-foldings and connects this to landscape predictions of an open universe.

Findings

Observable e-foldings are suppressed by background curvature.

Landscape models predict an open universe with negative curvature for N>62.

Recent work supports the link between curvature and inflation duration.

Abstract

We first review the related works on the observable consequence of landscape and the regulation of e-foldings during inflation. We focus on a branch of observable consequence of landscape which predicts an open universe with negative curvature if e-foldings $N>62$. After discussing the observable regulation from the aspect by Kaloper, Kleban and Sorbo, we make an argument that in the non-flat background the observable $N$ is suppressed by a factor $k/\rho_{0}$. We point out that this seems to detect the information where e-foldings $N>62$ possibly. Finally, we discuss our outcomes with the recent work by Arkani-Hamed et al.