Doubleverse entanglement in third quantized non-minimally coupled varying constants cosmologies

Abstract

In this paper we consider a third quantized cosmological model with varying speed of light $c$ and varying gravitational constant $G$ both represented by non-minimally coupled scalar fields. The third quantization of such a model leads to a scenario of the doubleverse with the two components being quantum mechanically entangled. We calculate the two parameters describing the entanglement, namely: the energy and the entropy of entanglement where the latter appears to be a proper measure of the entanglement. We consider a possibility that the entanglement can manifests itself as an effective perfect fluid characterized by the time dependent barotropic index $w_{eff}$, which for some specific case corresponds to the fluid of cosmic strings. It seems that such an entanglement induced effective perfect fluid may generate significant backreaction effect at early times.

arXiv comment9 pages, 4 figures

References in corpus (16)

• Covariant and locally Lorentz-invariant varying speed of light theories
• Quantum state of the multiverse
• Third Quantization of Brans-Dicke Cosmology
• Cosmological Avatars of the Landscape II: CMB and LSS Signatures
• Expanding and contracting universes in third quantized string cosmology
• Interacting universes and the cosmological constant
• Inter-universal entanglement in a cyclic multiverse
• Vacuum decay in an interacting multiverse
• A Curvature Principle for the interaction between universes
• Invariant vacuum
• Quantum cosmology of a conformal multiverse
• Cosmological perturbations in the entangled inflationary universe
• Non-minimally coupled varying constants quantum cosmologies
• Cyclic multiverses
• Birth of the Universe as anti-tunnelling from the string perturbative vacuum
• Emergence of multiverse in third quantized varying constants cosmologies

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• Cosmogenesis as symmetry transformation
• Decaying universes and the emergence of Bell-type interuniversal entanglement in varying fundamental constants cosmological model