Addressing the cosmological $H_0$ tension by the Heisenberg uncertainty

TL;DR

This paper explores how the Heisenberg uncertainty principle may influence cosmological measurements, particularly the Hubble constant, potentially explaining the discrepancy known as the $H_0$ tension.

Contribution

It introduces a novel approach by applying the uncertainty principle to cosmological parameters, linking quantum indeterminacy to differences in $H_0$ measurements.

Findings

The indetermination principle affects the measurement of $H_0$ from different methods.

A relationship between Compton mass and redshift is established.

The $H_0$ tension may be due to quantum indeterminacy effects.

Abstract

The uncertainty on measurements, given by the Heisenberg principle, is a quantum concept usually not taken into account in General Relativity. From a cosmological point of view, several authors wonder how such a principle can be reconciled with the Big Bang singularity, but, generally, not whether it may affect the reliability of cosmological measurements. In this letter, we express the {Compton mass} as a function of the cosmological redshift. The cosmological application of the indetermination principle unveils the differences of the Hubble-Lema\^{i}tre constant value, $H_0$, as measured from the Cepheids estimates and from the Cosmic Microwave Background radiation constraints. In conclusion, the $H_0$ tension could be related to the effect of indetermination derived in comparing a kinematic with a dynamic measurement.