A resolution of the Trans-Planckian problem in the R_h=ct universe

TL;DR

This paper proposes that the R_h=ct universe model resolves the trans-Planckian problem by interpreting the cutoff in the fluctuation spectrum as the first mode exiting the Planck scale, avoiding issues in standard inflation.

Contribution

It introduces a novel interpretation of the fluctuation cutoff within the R_h=ct cosmology, providing a solution to the trans-Planckian problem that challenges standard inflationary models.

Findings

k_min interpreted as mode exiting from Planck scale

R_h=ct universe avoids trans-Planckian problem

Standard inflationary issues addressed by new model

Abstract

The recent measurement of a cutoff k_min in the fluctuation power spectrum P(k) of the cosmic microwave background may vitiate the possibility that slow-roll inflation can simultaneously solve the horizon problem and account for the formation of structure via the growth of quantum fluctuations in the inflaton field. Instead, we show that k_min may be interpreted more successfully in the R_h=ct cosmology, as the first mode exiting from the Planck scale into the semi-classical Universe shortly after the Big Bang. In so doing, we demonstrate that such a scenario completely avoids the well-known trans-Planckian problem plaguing standard inflationary cosmology.