Inflationary universe in the presence of a minimal measurable length

摘要

AbstractIn 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 phenomena. 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.Highlights?We study the inflationary cosmology in the Jacobson thermodynamic approach.?We analyze the short distance correction to inflation from a minimum measurable length.?This analysis is done using the Hamiltonian-Jacobi approach.?This model of inflationary cosmology is consistent with the observational data.]]>