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Entropy 2011, 13(2), 528-541; doi:10.3390/e13020528

Entangled States in Quantum Cosmology and the Interpretation of Λ

1,*  and 2,3
1 Dipartimento di Scienze Fisiche, Università di Napoli Federico II, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia, I-80126 Napoli, Italy 2 Dipartimento di Fisica, Università di Roma La Sapienza, I-00185 Roma, Italy 3 ICRANet and ICRA (International Center of Relativistic Astrophysics Networks), Piazzale della Repubblica 10, I-65122 Pescara, Italy
* Author to whom correspondence should be addressed.
Received: 13 December 2010 / Revised: 2 February 2011 / Accepted: 16 February 2011 / Published: 17 February 2011
(This article belongs to the Special Issue Entropy in Quantum Gravity)
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The cosmological constant Λ can be achieved as the result of entangled and statistically correlated minisuperspace cosmological states, built up by using a minimal choice of observable quantities, i.e., Ωm and Ωk, which assign the cosmic dynamics. In particular, we consider a cosmological model where two regions, corresponding to two correlated eras, are involved; the present universe description would be, in this way, given by a density matrix ˆρ, corresponding to an entangled final state. Starting from this assumption, it is possible to infer some considerations on the cosmic thermodynamics by evaluating the Von Neumann entropy. The correlation between different regions by the entanglement phenomenon results in the existence of Λ (in particular ΩΛ) which could be interpreted in the framework of the recent astrophysical observations. As a byproduct, this approach could provide a natural way to solve the so called coincidence problem.
Keywords: quantum cosmology; entanglement; cosmological constant quantum cosmology; entanglement; cosmological constant
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Capozziello, S.; Luongo, O. Entangled States in Quantum Cosmology and the Interpretation of Λ. Entropy 2011, 13, 528-541.

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