Many Kudos to Max Tegmark for taking on such a large dragon in the physics community.
I see the holographic theory coming into this as well as fractals to mention just a few. I think there is a question of where the information is coming from. There are the two most fundamental properties of the multiverse and that is energy and information. While the information tells the energy how to manifest in this world where is that information coming from. Perhaps this will help with the information discrepancy or part of it.
I know that the physicists of early 20's where pondering what was going on in recognizing that the experimenter was having an effect on the outcome. This is what Einstein says “God does play with dice.”
In taking a look at Dr. Emoto’s water experiments among the many experiments showing a influence on the outcome from the experimenters. Thus the observer effect is well at play here.