So, with regards to their hypothesis, wouldn't it be a simpler to just surmise that maybe the Isotropy and homogeneity that we see in our observable Universe, may not apply fully beyond the visible horizon?
Max Tegmark's "Level I" type of multiverse (of 3 more) also seems grounded in the consequences of such a vast version of "this" one universe, but minus that involving mutability in its laws, general tendencies / properties. [Or maybe not, since he could be referring alone to the replications of our known cosmic neighborhood]. Ergo, all his doppelgangers of ourselves arising as some possible patterns monotonously exhaust themselves broadly, yet still endlessly refine themselves in narrower variations (James Dean didn't die young and became even more famous, James Dean lived long but never became an actor, etc).
Tegmark: The parallel universes of your alter egos constitute the Level I multiverse. It is the least controversial type. We all accept the existence of things that we cannot see but could see if we moved to a different vantage point or merely waited, like people watching for ships to come over the horizon. Objects beyond the cosmic horizon have a similar status. The observable universe grows by a light-year every year as light from farther away has time to reach us. An infinity lies out there, waiting to be seen. You will probably die long before your alter egos come into view, but in principle, and if cosmic expansion cooperates, your descendants could observe them through a sufficiently powerful telescope.
[...]
Another possibility is that space is infinite but matter is confined to a finite region around us--the historically popular "island universe" model. In a variant on this model, matter thins out on large scales in a fractal pattern. In both cases, almost all universes in the Level I multiverse would be empty and dead. But recent observations of the three-dimensional galaxy distribution and the microwave background have shown that the arrangement of matter gives way to dull uniformity on large scales [...] Assuming that this pattern continues, space beyond our observable universe teems with galaxies, stars and planets.
Observers living in Level I parallel universes experience the same laws of physics as we do but with different initial conditions. According to current theories, processes early in the big bang spread matter around with a degree of randomness, generating all possible arrangements with nonzero probability.
[...]
Is there a copy of you reading this article? A person who is not you but who lives on a planet called Earth, with misty mountains, fertile fields and sprawling cities, in a solar system with eight other planets? The life of this person has been identical to yours in every respect. But perhaps he or she now decides to put down this article without finishing it, while you read on.
The idea of such an alter ego seems strange and implausible, but it looks as if we will just have to live with it, because it is supported by astronomical observations. The simplest and most popular cosmological model today predicts that you have a twin in a galaxy about 10 to the 10^28 meters from here. This distance is so large that it is beyond astronomical, but that does not make your doppelgänger any less real. The estimate is derived from elementary probability and does not even assume speculative modern physics, merely that space is infinite (or at least sufficiently large) in size and almost uniformly filled with matter, as observations indicate. In infinite space, even the most unlikely events must take place somewhere. There are infinitely many other inhabited planets, including not just one but infinitely many that have people with the same appearance, name and memories as you, who play out every possible permutation of your life choices.
--Parallel Universes, Scientific American
