From the last thread:
From Costanza's original thread (entire text):
"This is for anyone in the LessWrong community who has made at least some effort to read the sequences and follow along, but is still confused on some point, and is perhaps feeling a bit embarrassed. Here, newbies and not-so-newbies are free to ask very basic but still relevant questions with the understanding that the answers are probably somewhere in the sequences. Similarly, LessWrong tends to presume a rather high threshold for understanding science and technology. Relevant questions in those areas are welcome as well. Anyone who chooses to respond should respectfully guide the questioner to a helpful resource, and questioners should be appropriately grateful. Good faith should be presumed on both sides, unless and until it is shown to be absent. If a questioner is not sure whether a question is relevant, ask it, and also ask if it's relevant."
Meta:
- How often should these be made? I think one every three months is the correct frequency.
- Costanza made the original thread, but I am OpenThreadGuy. I am therefore not only entitled but required to post this in his stead. But I got his permission anyway.
Meta:
- I still haven't figured out a satisfactory answer to the previous meta question, how often these should be made. It was requested that I make a new one, so I did.
- I promise I won't quote the entire previous threads from now on. Blockquoting in articles only goes one level deep, anyway.
As I read him, he mainly wants to make the point that "simplicity" is not the same as "intuitiveness", and the former trumps the latter. It may seem more "humanly natural" for there to be some magical process causing wavefunction collapse than for there to be a proliferation of "worlds", but because the latter doesn't require any additions to the equations, it is strictly simpler and thus favored by Occam's Razor.
Yes, sorry. What I actually meant by "configuration space" was "the Hilbert space that wavefunctions are elements of". That space, whatever you call it ("state space"?), is the one that matters in the context of "wavefunction realism".
(This explains an otherwise puzzling passage in the article you linked, which contrasts the "configuration space" and "Hilbert space" formalisms; but on the other hand, it reduces my credence that EY knows what he's talking about in the QM sequence, since he doesn't seem to talk about the space-that-wavefunctions-are-elements-of much at all.)
This is contrary to my understanding. I was under the impression that classical mechanics, general relativity, and NRQM had all by now been given rigorous mathematical formulations (in terms of symplectic geometry, Lorentzian geometry, and the theory of operators on Hilbert space respectively).
The mathematician's standards are what interests me, and are what I mean by "rigor". I don't consider it a virtue on the part of physicists that they are unaware of or uninterested in the mathematical foundations of physics, even if they are able to get away with being so uninterested. There is a reason mathematicians have the standards of rigor they do. (And it should of course be said that some physicists are interested in rigorous mathematics.)