Nice paper, but I think I am missing your general point. Are you saying that living organisms are a just a manifestation of quantum phenomena, like every other physical phenomena (water in a glass)?
Or do you mean that living organisms are somewhat different from the rest of the world in the sense that they shape their environment to bear information about them (a statue)?
Moreover, I had some difficulty interpreting this paragraph:
Like this simplistic example of the glass of water, we can begin to consider expansion as a necessity because, ironically, the system must obey the conservation of energy. The first question to address is, “How does the expansion of the universe affect the hypergraph?” We can consider answering this by saying, as the universe expands the total energy-density must increase to compensate for the conservation of energy. This means that more atoms-of-space must be populated to account for the overall increase of total volume.
You first seem to imply that the expanding universe must conserve energy, which, in general relativity needs not to be the case. I know it is a subtle issue, but anyway, in the wolfram model it is clear that, if the hypergraph is expanding, energy (the number of causal edges traversing a spacelike hypersurface) is surely not conserved.
Then you say that "as the universe expands the total energy-density must increase to compensate for the conservation of energy". I don't understand this, because I would think that if the volume expands and the energy-density increases, the total energy = volume*energy-density must increase as well, instead of remaining constant.
I would appreciate if you could clarify these points for me.
As a final remark, I really can't understand louis sarwal's comment. Quantum entanglement has been proven experimentally and understood from a theoretical point of view since the '70.