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Revisiting the Cosmological Constant Problem within Quantum Cosmology

1
Institute for Advanced Physical Studies, Montevideo Street, 1618 Sofia, Bulgaria
2
Ronin Institute for Independent Scholarship, Montclair, NJ 07043, USA
3
Geneva Observatory, University of Geneva, 51, chemin des Maillettes, CH-1290 Sauverny, Switzerland
*
Author to whom correspondence should be addressed.
Universe 2020, 6(8), 108; https://doi.org/10.3390/universe6080108
Received: 23 June 2020 / Revised: 24 July 2020 / Accepted: 31 July 2020 / Published: 2 August 2020
(This article belongs to the Special Issue Quantum Models for Cosmology)
A new perspective on the Cosmological Constant Problem (CCP) is proposed and discussed within the multiverse approach of Quantum Cosmology. It is assumed that each member of the ensemble of universes has a characteristic scale a that can be used as integration variable in the partition function. An averaged characteristic scale of the ensemble is estimated by using only members that satisfy the Einstein field equations. The averaged characteristic scale is compatible with the Planck length when considering an ensemble of solutions to the Einstein field equations with an effective cosmological constant. The multiverse ensemble is split in Planck-seed universes with vacuum energy density of order one; thus, Λ˜8π in Planck units and a-derivable universes. For a-derivable universe with a characteristic scale of the order of the observed Universe a8×1060, the cosmological constant Λ=Λ˜/a2 is in the range 1012110122, which is close in magnitude to the observed value 10123. We point out that the smallness of Λ can be viewed to be natural if its value is associated with the entropy of the Universe. This approach to the CCP reconciles the Planck-scale huge vacuum energy–density predicted by QFT considerations, as valid for Planck-seed universes, with the observed small value of the cosmological constant as relevant to an a-derivable universe as observed. View Full-Text
Keywords: cosmology; quantum cosmology; cosmological constant; dark energy; de Sitter spacetime cosmology; quantum cosmology; cosmological constant; dark energy; de Sitter spacetime
MDPI and ACS Style

Gueorguiev, V.G.; Maeder, A. Revisiting the Cosmological Constant Problem within Quantum Cosmology. Universe 2020, 6, 108. https://doi.org/10.3390/universe6080108

AMA Style

Gueorguiev VG, Maeder A. Revisiting the Cosmological Constant Problem within Quantum Cosmology. Universe. 2020; 6(8):108. https://doi.org/10.3390/universe6080108

Chicago/Turabian Style

Gueorguiev, Vesselin G.; Maeder, Andre. 2020. "Revisiting the Cosmological Constant Problem within Quantum Cosmology" Universe 6, no. 8: 108. https://doi.org/10.3390/universe6080108

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