Inflationary universe in the presence of a minimal measurable length

TL;DR

This paper investigates how a minimal measurable length influences inflationary cosmology by modifying Friedmann equations within the Jacobson thermodynamic framework, showing potential agreement with recent observational data.

Contribution

It introduces a modified Friedmann equation accounting for a minimal length scale in the Jacobson approach to gravity, analyzing its impact on inflationary models.

Findings

Modified Friedmann equations due to minimal length

Potential compatibility with recent cosmological data

Insights into quantum gravity effects on early universe

Abstract

In this paper, we will study the effect of having a minimum measurable length on inflationary cosmology. We will analyze the inflationary cosmology in the Jacobson approach. In this approach, gravity is viewed as an emergent thermodynamical phenomenon. We will demonstrate that the existence of a minimum measurable length will modify the Friedmann equations in the Jacobson approach. We will use this modified Friedmann equation to analyze the effect of minimum measurable length scale on inflationary cosmology. This analysis will be performed using the Hamiltonian-Jacobi approach. We compare our results to recent data and find that our model may agree with the recent data.