  In this paper, we consider a high-curvature limit of the varying fundamental
constants toy model in which both the value of the speed of light and the value
of the gravitational constant are related to the values of the two
non-minimally coupled scalar fields. The high-curvature limit motivates the
application of the third quantization procedure to such a toy model which
results in a theory that describes bosonic massive particles that move freely
in the three-dimensional minisuperspace associated with the degrees of freedom
of the original model. Motivated by the idea that in the quantum cosmological
description the minisuperspace gets promoted to a real configurational space of
the system we supplement the third quantized action of the considered model
with an interaction term that allows for decay and scattering processes. We
show that such interaction term induces a scenario in which a parent universe
decays into two universes described by a maximally entangled Bell state. We
eventually asses the strength of the entanglement, in the created pair of
universes, by calculating the von Neumann entropy of entanglement.
