# Holographic inflation

## TL;DR

This paper presents a holographic inflation model that naturally explains early universe inflation by linking holographic principles with inflationary dynamics, matching Planck 2018 observations.

## Contribution

It introduces a holographic inflation scenario incorporating UV and IR cutoffs, providing analytical solutions for inflationary parameters and observables.

## Key findings

- Analytical solution for the Hubble function during inflation
- Predictions for spectral index and tensor-to-scalar ratio match Planck 2018 data
- Holographic approach effectively models early universe inflation

## Abstract

We apply the holographic principle at the early universe, obtaining an inflation realization of holographic origin. Such a consideration has equal footing with its well-studied late-time application, and moreover the decrease of the horizons at early times naturally increases holographic energy density at inflationary scales. Taking as Infrared cutoff the particle or future event horizons, and adding a simple correction due to the Ultraviolet cutoff, whose role is non-negligible at the high energy scales of inflation, we result in a holographic inflation scenario that is very efficient in incorporating inflationary requirements and predictions. We first extract analytically the solution of the Hubble function in an implicit form, which gives a scale factor evolution of the desired e-foldings. Furthermore, we analytically calculate the Hubble slow-roll parameters and then the inflation-related observables, such as the scalar spectral index and its running, the tensor-to-scalar ratio, and the tensor spectral index. Confronting the predictions with Planck 2018 observations we show that the agreement is perfect and in particular deep inside the 1$\sigma$ region.