I would like to ask you about Tegmark's Mathematical Universe Hypothesis and its relation to the holographic principle: Could we use the holographic principle as a framework to Tegmark's MUH?
I mean, In holographic principle it is assumed that the information from a universe would be encoded in a "surface" (generally). Then, in principle, couldn't it be the case that information from every single mathematical model could be encoded in a holographic "surface"? Couldn't that reproduce every single universe of Tegmark's hypothesis? Couldn't every single mathematical structure be represented in D-1 dimensions?