I don't understand much of what the OP is saying. But I do like the Stephen Wolfram idea of consciousness being the way a computationally bounded observer deve

I don't understand much of what the OP is saying. But I do like the Stephen Wolfram idea of consciousness being the way a computationally bounded observer develops a coherent view of a branching universe. This is related to compression because it a (lossy!) reduction in information. I understand that Wolfram is controversial, but the information-transmission-centric view of reality he works with makes a lot of intuitive sense to me. https://writings.stephenwolfram.com/2021/03/what-is-consciousness-some-new-perspectives-from-our-physics-project/ https://writings.stephenwolfram.com/2021/03/what-is-consciou...