Hubble tension bounds the GUP and EUP parameters

TL;DR

This paper investigates how quantum gravity-inspired modifications to the uncertainty principle, specifically GUP and EUP, can constrain their parameters using the Hubble tension between CMB and SNeIa measurements.

Contribution

It derives bounds on GUP and EUP parameters by comparing modified Hubble parameters with observational data from Planck and HST.

Findings

Upper bounds on GUP and EUP parameters established

Quantum gravity effects can influence cosmological measurements

Hubble tension can be used to constrain quantum gravity models

Abstract

In recent years the discrepancy in the value of the Hubble parameter has been growing. Recently, there are works supporting the proposal that the uncertainty principles can solve the Hubble tension. Motivated by this proposal, we work with an isotropic and homogeneous FRW universe, obtain its Hamiltonian equations, and thus, the Hubble parameter through the first Friedmann equation. In the context of GUP and EUP models, the Hubble parameter is modified. Since the fingerprints of quantum gravity are imprinted on the CMB, we consider the GUP/EUP-modified Hubble parameter in the first Friedmann equation to be the one measured by the Planck collaboration which uses the CMB data. The unmodified Hubble parameter in the first Friedmann equation is considered to be the one measured by the HST group which uses the SNeIa data. Therefore, upper bounds for the dimensionless parameters of GUP and EUP are obtained.