Effects of a Quantum or Classical Scalar Field on the Entanglement Entropy of a Pair of Universes

Abstract

Using the formalism of the third quantization in canonical quantum gravity, the entropy of entanglement of a pair of universes created in the multiverse from the vacuum has lately been calculated. Here, we examine the differences between considering a scalar field as quantum or classical on the entanglement entropy of three different pairs: de-Sitter universes, flat stiff matter dominated universes, and closed universes with a scalar field. We find that the entanglement entropy is unchanged, zero, or dependent on the treatment of the scalar field, respectively.

Accepted for publication in PRD. 3 Figures

References in corpus (4)

• Entanglement negativity in the multiverse
• Cosmological Avatars of the Landscape I: Bracketing the SUSY Breaking Scale
• Invariant vacuum
• Entanglement entropy at critical points of classical evolution in oscillatory and exotic singularity multiverse models

Cited by in corpus (3)

• A New Guest in the Third Quantized Multiverse
• Observational Imprints of Our Lost Twin Anti-Universe
• Decaying universes and the emergence of Bell-type interuniversal entanglement in varying fundamental constants cosmological model