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The biverse here is a sort of device. Here this device is an instanton or tunneling state, which is used to connect different spacetime cosmologies in a quantum scaffold --- so to speak.
When it comes to the nature of time I am not particularly impressed with the idea of time not existing. This idea comes from the ADM Hamiltonian for "space plus time" approach to general relativity which obeys NH = 0 and the momentum version N^iH_i = 0. The first of these H = K R, K being symbolic for the trace conditions on the extrinsic curvature and R the Ricci curvature of the spatial manifold, is extended to the quantized for in the Wheeler-DeWitt (WD) equation HΨ[g] = 0. This outwardly has the appearance of a Schrodinger equation HΨ[g] = i∂Ψ[g]/∂t, but where the right hand side is zero. Of course this has to be the case, for there is no universal time variable t one can appeal to properly. What is time is imposed by the analyst in how spatial manifolds with the constraint H = 0 are linked to each other. It is not hard to extend the WD equation to include a harmonic oscillator field σ so that one introduces a time variation and you have HΨ[g,σ] = i∂Ψ[g,σ]/∂t in some local (within a saddle point integration) region. The point is that the AdM and WD equations do not mean time does not exist, but rather that these are constraints imposed on a spatial manifold.
Cheers LC