Entangled states in quantum cosmology and the interpretation of Lambda

Abstract

The cosmological constant $\Lambda$ 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. ${\Omega }_m$ and ${\Omega }_k$, 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 $\hat{\rho }$, 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 $\Lambda$ (in particular ${\Omega }_{\Lambda }$) 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.

8 pages

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• Dark energy from entanglement entropy
• Momentum correlations of scattered particles in quantum field theory: one-loop entanglement generation
• Entanglement inside the cosmological apparent horizon
• Transition Probabilities in Generalized Quantum Search Hamiltonian Evolutions
• Information Geometric Complexity of Entropic Motion on Curved Statistical Manifolds under Different Metrizations of Probability Spaces
• Holographic Entanglement Entropy for noncommutative Anti-de Sitter space
• Isoperimetric deformations of curves on the Minkowski plane