PPS The Hubble horizon of radius c/H(t) of our local universe section
on the large scale spatially flat expanding accelerating
post-inflationary "bubble" is analogous to the core of the
superconducting vortex singularity where the local macro-quantum
coherent order parameter PSI vanishes. That is where the micro - macro
quantum vacuum phase transition happened after all in which the
non-classical entropy (log of volume of phase space of the vacuum) is
lowered to set the cosmic clock for the irreversible "arrow of time" in
which the initial singularity big bang starts out with low entropy
compared to the later universe. This Hubble horizon where PSI = 0 is a
2D surface out of which our 3D space of Einstein's curved 4D spacetime
emerges like the projected holographic image in Lenny Susskind's sense.
That's why

Lp* = Lp^2/3(c/Ho)^1/3 ~ 1 fermi (10^-13 cm)

where Lp ~ 10^-33 cm and c/Ho ~ 10^28 cm

You can think of the infinity of Tegmark's Level I parallel universes on
a single post-inflationary bubble as a kind of type II superconductor
lattice of vortices. Each vortex line maps to a Hubble horizon. Then
there are, in the chaotic inflationary model of Tegmark's Level II) an
infinity of such bubbles floating in hyperspace (in Kip Thorne's sense)
like a glass of champagne (brewed by Rashi de Troyes 1000 years ago ;-))
These are not the QUBIT parallel worlds of David Deutsch's
"multiverse". The QUBIT multiverse is a landscape for the ensemble of
IT system points of geometrodynamic post-inflationary bubbles to roll on
like in

vs = (h/m)Grad(arg psi) in deBroglie-Bohm-Vigier theory in 3D, which for
4D geometrodynamics becomes

du = Lp*^2 argPSI,u

,u is the ordinary partial derivative of the Goldstone phase argPSI, u =
0,1,2,3

PSI = 0|e+e-|o is the inflation complex scalar field

|PSI| = Higgs field.

du = Hagen Kleinert's "world crystal lattice" distortion field in which
curvature and torsion are disclination and dislocation defect densities
as shown for ordinary crystals by Bullough, Bilby et-al at Harwell AERE
Theoretical Physics Division in studies of breakdown of nuclear reactor
control rods. I was at Harwell in that division in Summer of 1966 after
spending time at Heisenberg's Max Planck Institute in Munich at a
Wheeler seminar.