This does not go far enough. The very notion of a world that underlies the premise of embodiment is questionable. The meaning of information is only its relationship to changes in other information, not its reference to facts in the world, even of they are nebulous.
What if the universe has no space but only a densely connected graph, and space is a subset of the graph that forms a flat lattice so you can send discernible information as stable gliders? Then volumes of space won't be bounded, there will usually be some noise from elsewhere.
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