Addressing the cosmological $H_0$ tension by the Heisenberg uncertainty

Understand

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.