Question: would someone with a stronger physics background be willing to explain what is Tegmark's "quantum factorization problem"? Section 1E
I'm not entirely sure - he didn't explain it all that clearly. But it is definitely reminiscent of the factorization problems one sees in intro quantum mechanics, like noticing when you can do psi(x,y,z) = X(x) Y(y) Z(z). The similarity is that this scheme is all about finding that kind of joint to carve nature at - find things that are relatively independent from each other but strongly interacting within themselves.
Max Tegmark publishes a preprint of a paper arguing from physical principles that consciousness is “what information processing feels like from the inside,” a position I've previously articulated on lesswrong. It's a very physics-rich paper, but here's the most accessable description I was able to find within it:
The whole paper is very rich, and worth a read.