  We propose a novel construction of a third quantised baby universe Hilbert
space $\mathcal{H}_{BU}$ for the quantum gravity path integral. In contrast to
the original description of $\alpha$-parameters, both the bulk and boundary
microscopic parameters are fixed in our proposal. Wormholes and baby universes
appear due to refined observables, of the boundary dual quantum field theories,
that crucially involve the space of representations of the gauge group.
Irreducible representations, on which the path integral factorises, give rise
to field theoretic superselection sectors and replace the $\alpha$ states.
