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08:30
Finite fields are pretty important in crypto. Eg, AES uses the Galois Field of 2^8.
08:59
I don't think those people have to use fiber bundles
true in the strict sense, but they have to deal with all sorts of algebro-geometric constructions :P
From what I can tell they mostly deal with biology
All those apes
09:23
That causal structure paper talks about the fibration $$\pi : J^2(\mathbb{R}, \mathbb{R}) \to M$$
How does that even make sense
I don't even think the dimensions make sense if $M$ is big enough
"The map $\pi$ is the quotient map of $J^2(\mathbb{R}, \mathbb{R})$ by the foliation defined by the $2$-jets of the solutions of the ODE."
 
8 hours later…
17:09
There seems to be disproportionally many working on high-energy physics on this site, compared to condensed matter physics. Why is that?
17:51
there is another site for CMP I think?
that one's rather new
I think it's mostly a founding effect - for some reason the site started out with disproportionally many hep-th people and therefore kept attracting more of them
Also I guess HEP and GR are just cooler
 
1 hour later…
19:13
@ACuriousMind could your recommend me a book/pdf about probability, one that is necessary to know, when one studies quantum mechanics ?
 
2 hours later…
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20:59
IMO you don't need that much probability theory for introductory QM. If you know about discrete and continuous random variables and can compute expected values/moments you are essentially fine
I see
Yeah I know those things, those concepts
But I think, or I believe that statistics/probability theory is important in quantum statistical mechanics. Hence why I wanted to dive in more into the subject
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yes, it's more important in statistical mechanics (even classical) but that's not introductory QM
it's more important to get a good grasp of basic quantum mechanics first
I am currently doing that
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there's probably a good "basic probability theory" appendix in some stat mech books but I can't think of anything in particular right now
21:17
that would help me
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just having a quick look at my books, Jacobs' "Stochastic processes for physicists" chapter 1 seems like the sort of thing you are looking for (but I don't think I've ever read it)
Also the first chapter of Schwabl - stat mech. Peliti's statmech in a nutshell has a shorter appendix
21:31
Ok thaaank you\
 
2 hours later…
23:40
Anyone know why dark matter can describe the measurements of galaxy rotation curves?
If the velocity of stars are increasing with respect to distance from the center, how does dark matter help explain this?
I would imagine even if dark matter was distributed within the galaxy, the velocity shouldn't increase?

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