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In this paper, we consider a high-curvature limit of the varying fundamentalconstants toy model in which both the value of the speed of light and the valueof the gravitational constant are related to the values of the twonon-minimally coupled scalar fields. The high-curvature limit motivates theapplication of the third quantization procedure to such a toy model whichresults in a theory that describes bosonic massive particles that move freelyin the three-dimensional minisuperspace associated with the degrees of freedomof the original model. Motivated by the idea that in the quantum cosmologicaldescription the minisuperspace gets promoted to a real configurational space ofthe system we supplement the third quantized action of the considered modelwith an interaction term that allows for decay and scattering processes. Weshow that such interaction term induces a scenario in which a parent universedecays into two universes described by a maximally entangled Bell state. Weeventually asses the strength of the entanglement, in the created pair ofuniverses, by calculating the von Neumann entropy of entanglement.

Decaying universes and the emergence of Bell-type interuniversal entanglement in varying fundamental constants cosmological model