Inflationary universe in the presence of a minimal measurable length

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.

19 pages, 4 figures, Published version in Annals of Physics

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• Observational constraints on DBI constant-roll inflation
• $\alpha$-attractor inflation modified by GUP in light of ACT observations
• Primordial Power Spectra of Cosmological Fluctuations with Generalized Uncertainty Principle and Maximum Length Quantum Mechanics
• Tsallis holographic inflation in $f(R,T)$ gravity: CMB constraints, reheating, and swampland implications
• Quantum Cosmology with Dynamical Vacuum in a Minimal-Length Scenario