I've been thinking about his a bit lately. If time is non-continuous then could you model the time evolution of the universe as some operator recursively applied to the quantum state of the universe? If each application of the operator progresses the state of the universe by a single planck-time could we even observe a difference between that and a universe where time is continuous?
So one of the most "out there" non-fiction books I've read recently is called "Alien Information Theory". It's a wild ride and there's a lot of flat-out crazy stuff in it but it's a really engaging read. It's written by a computational neuroscientist who's obsessed with DMT. The DMT parts are pretty wild, but the computational neuroscience stuff is intriguing.
In one part he talks about a thought experiment modeling the universe as a multidimensional cellular automata. Where fundamental particles are nothing more than the information they contain. And particles colliding is a computation that tells how that node and the adjacent nodes to update their state.
Way out and not saying there's anything truth to it. But it was a really interesting and fun concept to chew on.
Definitely way out there and later chapters are what I can only describe as wild conjecture, but I also found it to be full of extremely accessible foundational chapters on brain structure and function.
This sounds like the Bohmian pilot wave theory (which is a global formulation of QM). ... Which might be not that crazy, since spooky action at a distance is already a given. And in cosmology (or quantum gravity) some models are describing a region of space based only its surface. So in some sense the universe is much less information dense, than we think.
