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

Foundations of Physics volume 50, pages 893–899 (2020)Cite this article

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-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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Acknowledgements

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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Authors and Affiliations

  1. Dipartimento di Fisica Ettore Pancini, Università degli Studi di Napoli, Federico II (UNINA), Via Cinthia 9, 80126, Naples, Italy

    Salvatore Capozziello & Micol Benetti

  2. Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Napoli, Via Cinthia 9, 80126, Naples, Italy

    Salvatore Capozziello & Micol Benetti

  3. Gran Sasso Science Institute (GSSI), Via Francesco Crispi 7, 67100, L’Aquila, Italy

    Salvatore Capozziello

  4. Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 40 prospect Lenina, 634050, Tomsk, Russia

    Salvatore Capozziello

  5. Université d’Orléans, Observatoire des Sciences de l’Univers en région Centre (OSUC) UMS 3116, 1A rue de la Férollerie, 45071, Orléans, France

    Alessandro D. A. M. Spallicci

  6. Université d’Orléans, Collegium Sciences et Techniques (CoST), Pôle de Physique, Rue de Chartres, 45100, Orléans, France

    Alessandro D. A. M. Spallicci

  7. Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique et Chimie de l’Environnement et de l’Espace (LPC2E) UMR 7328, Campus CNRS, 3A Avenue de la Recherche Scientifique, 45071, Orléans, France

    Alessandro D. A. M. Spallicci

  8. Universidade do Estado do Rio de Janeiro (UERJ), Instituto de Física, Departamento de Física Teórica, Rua São Francisco Xavier 524, Maracanã, Rio de Janeiro, 20550-013, Brazil

    Alessandro D. A. M. Spallicci

  9. Centro Brasileiro de Pesquisas Físicas (CBPF), Departamento de Astrofísica, Cosmologia e Interações Fundamentais (COSMO), Rua Xavier Sigaud 150, Urca, Rio de Janeiro, 22290-180, Brazil

    Alessandro D. A. M. Spallicci

Authors
  1. Salvatore Capozziello
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  2. Micol Benetti
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  3. Alessandro D. A. M. Spallicci
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Corresponding author

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). https://doi.org/10.1007/s10701-020-00356-2

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  • DOI: https://doi.org/10.1007/s10701-020-00356-2

Keywords

  • Heisenberg principle
  • Observational cosmology
  • Hubble-Lemaître constant