Extended Uncertainty Principle: A Deeper Insight into the Hubble Tension?

TL;DR

This paper explores how the Extended Uncertainty Principle (EUP), a concept from quantum gravity, might explain the Hubble tension by linking it to an effective photon rest mass and large-scale cosmological measurements.

Contribution

It introduces the EUP as a novel framework to address the Hubble tension and derives a formula connecting photon rest mass to the Hubble parameter, offering a new perspective on the discrepancy.

Findings

Discrepancies in photon rest mass may cause Hubble tension.

EUP can provide a quantum gravity-based explanation for large-scale cosmological issues.

The study constrains the EUP length scale using cosmological data.

Abstract

The standard cosmological model, known as the LambdaCDM model, has been successful in many respects, but it has some significant discrepancies, some of which have not been resolved yet. In measuring the Hubble-Lematre parameter, there is an apparent discrepancy which is known as the Hubble tension, defined as differences in values of this parameter measured by the Type Ia Supernovae (SNeIa) data (a model-independent method) and by the Cosmic Microwave Background (CMB) radiation maps (a model-dependent method). Although many potential solutions have been proposed, the issue still remains unresolved. Recently, it was observed that the Hubble tension can be due to the concept of uncertainty in measuring cosmological parameters at large distance scales through applying the Heisenberg Uncertainty Principle (HUP) in cosmological setups. Extending this pioneering idea, in the present study we plan to incorporate the Extended Uncertainty Principle (EUP) containing a minimal fundamental measurable momentum (or equivalently, a maximal fundamental measurable length) as a candidate setup for describing large-scale effects of Quantum Gravity (QG) to address the Hubble tension and constrain the EUP length scale. In this regard, by finding a relevant formula for the effective photon rest mass in terms of the present-time value of the Hubble-Lematre parameter, we see that discrepancies in the value of photon rest mass associated with the Hubble-Lematre parameter values estimated from model-independent and model-dependent methods perhaps is the cause of Hubble tension.