The NOR gate is universal, so I would think that if a second-order reversible 1D cellular automata supports NOR gates that can be arbitrarily combined, then it is universal. Or not?
Thanks, I have that paper.
Wolfram mentions Rule 37R as an example of “cellular automata with class 4 overall behavior” (NKS, Chapter 11). “I strongly suspect that all class 4 rules, like rule 110, will turn out to be universal,” he says.
Has any of the reversible extensions of the elementary one-dimensional cellular automata described by Wolfram in NKS (e.g. Rule 37R) been shown to be computationally universal (like Rule 110)? If so, please give me links. Otherwise, could this be the case? Or is there a proof that no nR can be...
Can we say that the path integral over all spin foams that connect an input spin network I to an output spin network O is the probability amplitude PA(I,O) for I to be followed by O in a time sequence that emerges from the theory?
Can we say that the O with the highest P (PA squared in the usual...
The quotes are formatted in a way that gives the impression that I said "The laws of physics imply that the passage of time is an illusion," but I didn't say and don't think that!
If Nicolas Gisin is right then superdeterminism is trivially true BUT the world is NON-deterministic!
https://www.quantamagazine.org/does-time-really-flow-new-clues-come-from-a-century-old-approach-to-math-20200407/
At the very end of his book Volovik says that (something like) QFT can be derived from his superfluid vacuum theory but QM is still fundamental, so yes. He also says that further research could also explain the origin of QM: “However, in exploring the quantum liquids with Fermi points, we are...
Good point.
As far as I understand, that wouldn't invalidate Gödel theorem, which applies to systems based on weaker sets of axioms than the full ZFC with choice. Please correct me if I am wrong.
In general, I don't think changes in the (or better "a") foundations of mathematics can affect...
What does Gödel’s theorem say about physical reality? Does Gödel’s theorem imply that no finite mathematical model can capture physical reality? Does the nondeterminism found in quantum and chaos physics - it’s impossible to predict (prove) the future from the present and the laws of physics -...
Yes but no :-) This is what Everett meant and what many experts (eg Carroll, Wallace) think, but the simplified picture of splitting worlds and the MWI label make one tend to forget that the world is One Big World, not many small worlds.
Nice picture!
Of course, counterintuitive doesn't mean wrong. If the theory is correct (within its limits of validity and all that) it can only confirm the information from the senses. Otherwise the theory is not correct.