  Although the standard cosmological model explains most of the observed
phenomena it still struggles with the problem of initial singularity. An
interesting scenario in which the problem of the initial singularity is somehow
circumvented was proposed in the context of string theory where the canonical
quantisation procedure was additionally applied. A similar effect can be
achieved in the context of the canonically quantized theory with varying speed
of light and varying gravitational constant where both quantities are
represented by non-minimally coupled scalar fields. Such theory contains both
the pre-big-bang contracting phase and the post-big-bang expanding phase and
predicts non-vanishing probability of the transition from the former to the
latter phase. In this paper we quantize such a theory once again by applying
the third quantization scheme and show that the resulting theory contains
scenario in which the whole multiverse is created from nothing. The generated
family of the universes is described by the Bose-Einstein distribution.
