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Addressing the cosmological \(H_0\) tension by the Heisenberg uncertainty


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-Lemaître 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.

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SC and MB acknowledge the Istituto Nazionale di Fisica Nucleare (INFN), sezione di Napoli, iniziative specifiche MOONLIGHT2 and QGSKY. ADAMS acknowledges the Erasmus+ programme for visiting the Università di Napoli, SC the Université d’Orléans and Campus France for the hospitality. Authors thank the referees and J. A. Helayël-Neto for precious suggestions which allowed to improve the paper.

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Correspondence to Salvatore Capozziello.

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Capozziello, S., Benetti, M. & Spallicci, A.D.A.M. Addressing the cosmological \(H_0\) tension by the Heisenberg uncertainty. Found Phys 50, 893–899 (2020).

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  • Heisenberg principle
  • Observational cosmology
  • Hubble-Lemaître constant