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10:14 AM
Pop sci explanation of entanglement = bad
there is no "instantly"
The entangled pair is basically one object
when you measure it and it projected into one of the eigenstates, said eigenstate involve both A and B, thus if one is red, the other must be green (correlations)
It is not that the state is determined from the start except we don't know it
Rather it is the probability amplitude that is determined by the two systems interacting some time in the past
seriously old news
 
10:38 AM
This is why I think accurate visualisation is so important
Same equations, same problem, different presentation

One is formal and rigorous
Another is not as formal, but accurate enough and fun to play with
and when playing become research, it is win win
Perhaps we should write a program that simulate particle physics and QFT problems, and let the citizen scientist to solve it for us?
 
11:04 AM
0
Q: quantum entanglement and its application in migratory birds

rachelExplain the concept of quantum entanglement.Also explain its application in migratory birds. i know that it also has a relation with the magnetic field of the earth.

best question
 
go for it
i think i saw a ted talk on that once...
 
1
Q: How can we encourage more Astrophysicists on SE?

OrcaI'm a relatively new user and have already noticed a lack of users with interest in Astrophysics, compared to Quantum Mechanics or Quantum Field Theory. I have interest in these more popular areas as well, so I am still enjoying the site, but it would be great to see more Astrophysicists on here!...

 
@0celo7 how could you even THINK that i would want you suspended? btw, you're not the first person to post a "star this if you hate me" message.
in Mathematics, Feb 16 '12 at 8:38, by Skullpatrol
To all those people who think Skullpatrol is annoying enough to be removed from this chat room: star this message (if the count is 3 or more I will not return) Thank you.
 
11:54 AM
.Hm
How do you prove the Pauli Fierz identity without using any representation
$\sigma^\mu_{\alpha\dot\alpha}\sigma_{\mu\beta\dot\beta} = 2 \varepsilon_{\alpha\beta} \varepsilon_{\dot\alpha\dot\beta} $
 
@Slereah Um...It's a specific statement about the Pauli matrices in a chosen representation (the spinor one), is it not?
 
Not quite sure
 
I'm pretty sure
 
Though really it would be nice if there was a way to do it without doing it component by component
This bit claims it follows directly from the properties
Oh wait, maybe...
 
@Slereah Note that you can't even formulate the r.h.s. of the identity in a representation-independent way - at least I don't see how
 
12:05 PM
$\sigma^\mu_{\alpha\dot\alpha}\sigma_{\mu\beta\dot\beta} \epsilon^{\alpha\beta} = \sigma^{\mu\beta}_{\dot\alpha}\sigma_{\mu\beta\dot\beta} = nI$
And on the other side...
 
(I must admit that I actually have no clue how the dotted/undotted notation works :D)
 
$2 \varepsilon_{\alpha\beta}\varepsilon^{\alpha\beta}\varepsilon_{\dot\alpha\dot\be‌​ta} = 4 \varepsilon_{\dot\alpha\dot\beta}$
fuark
I don't know
@ACuriousMind They are components in the spinor space
 
Well, duh :P
 
There are four spaces
The basic spinor space
Dual spinor space
And then you can conjugate them
$\varepsilon$ is the metric of the spinor space
While $\sigma$ is a map from spinors to vectors
 
See, that's why I hate physicists' terminology. "Basic spinor space" is the space of right-handed Weyl spinors?
 
12:08 PM
Hm
Been a while
 
Okay, let's start with the simplest thing: Is "basic spinor space" 2 or 4 dimensional?
 
Let's check
IIRC it is $\Bbb C^2$, yes
And one is the left handed while the other is the right handed one
Well, not quite
I think it's something like $\psi_R = \psi_\alpha$ while $\psi_L = \psi^{\dot\alpha}$
 
That's horrible, I now remember why I never bothered to learn that notation :D
 
yeah I think that's basically it
That way you get the correct $\psi_L^* \psi_R \in \Bbb R$
And the dagger maps upper to lower indices via $\varepsilon$
So more like $\psi_L^\dagger \psi_R = (\psi_{\dot\alpha})^* \varepsilon^{\alpha\beta} \psi_{\beta}$
At its core it's basically like differential geometry
there are just more vector spaces and complex numbers
 
12:25 PM
you should all learn non-commutative integration and non-commutative probability theory...it's so fun ;-)
 
is non-commutative integration the Grassman one
 
especially you @0celo7... (I know you can't reply X-D)
@Slereah nope
it's more on this spirit
and non commutative probability is not so dissimilar
it's like doing standard integration and probability, but everything is automatically quantum
 
Is that similar to like
errr
What's it called
The star thing
 
Moyal product?
 
yeah
Phase space quantization
 
12:35 PM
Fun fact: as of January of this year, "(Color online)" is dead. At long last!
 
@EmilioPisanty really?
 
@Slereah not really...that is a quantization thing
non-commutative integration/probability is already quantum
 
Then I dunno m8
 
I said that you all should learn it, not that you know it :-P
 
@DavidZ Yup. Go have a look.
Maybe start with this one
 
12:38 PM
but I won't
 
You nerd
 
I suggest topics of interest to the community...
:-D
 
@EmilioPisanty What is this?
 
@Danu So all APS journals used to add "(Color online)" to the caption of every figure which was in colour in the online version but where the author didn't pay for colour prints online.
Which was about half the figures on pretty much every paper
> The charge is US $980 for a single color figure in print and $515 for each additional color figure in the print version of the article.
I found it really annoying
Much better the IOP way
Just say
> (Some figures may appear in colour only in the online journal)
upfront, and you're done
aaaand, finally, APS saw the light and dropped the tagline.
So: "(Color online)" is dead, long live color online!
=P
 
12:49 PM
color figures...never a mathematician's problem (luckily)
btw, when you submit a paper with color figures you really pay the 980$ for each one that has to stay colored on the printed version?
do you have a special part of the fundings/grants/... dedicated to that?
 
@yuggib No, you pay $980 for the first one, and then $515 for each one after that
@yuggib That's the theory. I'm not sure who actually does that. Maybe papers from large consortia do it?
 
@EmilioPisanty ok, nevertheless it is common to do that?
 
@yuggib No idea
 
I assume you don't do that on your papers...
 
Best way is to grab a physical issue of phys rev whatever and skim for colour figures
 
12:52 PM
"On Tuesday 4/3/12, I tweaked the "7 seals"/'beyond Einstein theories' that are revealed on the cover of the 74-page "book/scroll". The very minor revisions that I made was to better express the math equations in 'Seal #6'. I put parenthesis around (God=40/13mt) and moved it closer, so as to clearly make it a part of the 'Conglomeratal Energy eternal Theory'.
I also put parenthesis around '(gods e = 6m ui 10s 9t' and moved it closer, so as to clearly make it a part of the 'Conglomeratal Relationships eternal Theory'. "
 
No idea where I'd find one of those around here, to be honest
@yuggib Oh, no, no way. If people with a physical PRA issue (if there are indeed such people anymore) want to see my figures in paper, they can go download it and print it themselves. Latest paper would have cost $8,190 to print in colour, maybe a bit less.
You do have to make sure that your figures are readable on black and white though
mostly for people printing it at home on b/w printers
 
@EmilioPisanty a good point, often neglected. Which reminds me, I should check the paper I'm currently reviewing on that point.
I actually didn't realize (color online) was a standard thing. I've seen it, sure, but I read preprints often enough that I didn't see it often.
 
@DavidZ Yeah, this is not paid anywhere near enough attention.
Mostly, making sure your figures print reasonably in b/w also makes sure that they're legible to colorblind readers, and those probably make up something like 5% of your audience.
(assuming a male-dominated field and with a fairly broad definition of colorblindness)
@DavidZ Yeah, that's probably true in your field. Mine has something like 40% of papers making it to the arXiv, maybe?
I actually got told off by PRA editorial staff for not including it in my manuscript myself.
 
1:10 PM
@EmilioPisanty lol, can't say I ever had that happen.
I guess HEP is rather unique in having essentially 100% arXiv coverage
 
@DavidZ To that degree, yeah
 
@EmilioPisanty Ah...
 
@DavidZ Hmmm. Take that one with a grain of salt btw. I can't find that line now that I look for it.
 
Huh, well, not that it matters really. It's good that awareness of online PDFs is presumably high enough that the "(color online)" is no longer needed.
 
@EmilioPisanty yeah, I guessed so
but maybe grants/fundings etc should take that point into account
and be adjusted to allow for color printing of published articles
I assume it is even a worse problem in other more figure rich sciences
 
1:21 PM
@yuggib Your budget is your budget, so unless it's earmarked for that specifically, you really need to consider whether your readers are better off with that or with you having better equipment to have better science to write about.
In that front there's similar stuff with open access APCs, e.g. the Wellcome Trust giving funds specifically for making papers open access.
That one is pretty important, but I don't think colour figures really qualifies, at least for a physics paper.
But say you've got some microscopy photographs with, say, structural information encoded in two different dyes? Then yeah, there's a stronger case for paying.
Not sure whether biology publishers tend to charge for colour or not, though.
 
Color ink is expensive, so I bet they would. Somebody has to pay for it.
I could see something like the Planck mission paying to have their papers printed in color, too. Astronomy in general has more need for color pictures.
 
@DavidZ Do they, though? Do we need colour figures in our print journals? Do we actually read the print version of journals enough for this to really matter? Is printing a bunch of figures in colour really the best use for research-directed tax dollars?
 
Well, I mean, assuming the figures are printed in color, somebody has to pay for it. I'm not saying they actually do need to be.
I know I personally don't ever read print versions, but I'm not discounting the possibility that a lot of people elsewhere do.
 
1:44 PM
Hm
If I try to follow peskin or the symmetric lagrangian, I get different results
i wonder if they are identical in the end
 
@EmilioPisanty Thanks for the answer, very helpful.
 
1:57 PM
0
Q: Posting a picture of my working

JoeI am aware that stack exchange allows me to write beautifully typeset equations in LaTeX. What if, however, I am really lazy. Instead I write my problem out on paper and then take a picture and upload it? Will I get a whole load of moderators moaning at me? I often find that the amount of time ...

 
2:16 PM
-1
Q: If a being was able to swallow itself, where would it go physically?

Sanele Msiziif a being was made from a special type of material that allowed it to stretch and was very flexible, if it were to swallow itself, where wold it go. I mean the physical aspects of it since it wont be here anymore. answer anyone?

 
@innisfree words fail me
 
the projectile tag is hilarious
also the universe one to a less extent
 
Indeed. I laughed, then cried, then laughed again :D
 
@yuggib Projectile vomiting perhaps?
 
@JohnRennie probably
 
2:33 PM
Help
How did I get here
 
 
1 hour later…
vzn
3:57 PM
@Secret "citizen science" is cool, and a trend, and hope it grows/ builds further, but its kind of a toy-level type concept right now. the "mass unwashed public" cannot contribute much more than gameplaying abilities or contributing distributed computing resources. so if one can do the heavy work to translate ones problem into those two (somewhat narrow) niches (agreed the qm moves game is well done! & apparently well funded!), its possible, otherwise, its still a near fantasy...
 
4:32 PM
Gosh it's quiet in here without 0celo7 and Barry Carter :-)
 
4:44 PM
Yep :-P
 
Well find a topic
I dunno
 
why is there a dead link on Richard's profile?
a whole year seems a bit harsh
 
If you mean the link to the chat room, that hat room has been deleted. I can still see it, but this presumably goes along with meeting some rep requirement.
 
@JohnRennie thanx for looking :-)
 
I don't know the details of what happened in the SFSE, but there was a big issue there with people behaving badly in the chat.
 
5:00 PM
ya, shog froze the room for a week
 
It's a bit surprising to see such a high rep user earn themselves such an extended ban, but tempers can flare up and people say things in the heat of the moment. We had a high rep used banned here under similar circumstances, though that was a while ago.
 
sophie?
 
Who is Sophie?
 
she used to be a regular in chat
 
Anyhow, I wasn't thinking of her. I'm not keen to name names, and in any case it was several years ago so ancient history now.
 
5:12 PM
as you said, the heat of the moment can be overwhelming for some
while some thrive on trying to light the fuse
 
 
1 hour later…
6:18 PM
@JohnRennie Good grief the stars in that chat room say it all.
 
vzn
@DanielSank sounds like something "big" in the works. not many "places" have that kind of severe space constraint on content & would guess its "somewhere elite". are you writing up an experiment or something "else"? =D
you can signal stuff with english language to help it along like "consider the correspondence/ analogy with identical mathematical formalisms" etc
this reminds me of schroedingers eqn... maybe (for half fun, half edu) look at his historical paper for some ideas on how he set up/ introduced that tricky correspondence... although its probably in french right?
de broglie struggled with a similar issue also.
 
6:44 PM
@vzn Well we'll submit to PRL. Not sure if that counts as "big".
 
Looking at AQFT
I'm thinking that maybe
I should learn algebra first
 
@DanielSank how many authors?
 
vzn
@DanielSank ok still topnotch; was guessing science or nature. oh well. maybe next time =D (your lab prob already has some, havent figured it out closely...)
← actually, 2nd thought, maybe PRL has more status/ impact among physicists anyway. science/ nature sometimes have problem of "jack of all trades, master of none..."
 
"This algebra has the non-trivial center $Z = \{ A \in \mathfrak{A}, [A,B] = 0 \forall B \in \mathfrak{A}\}$"
Isn't... isn't that the definition of a center?
Oh apparently it's $\oplus_i \lambda_i 1_{\mathfrak{h}_i}$
Just a linear sum of the identities of the superselection sectors
(heheh, identitties)
 
vzn
@DanielSank oh & btw, for a physicist who almost likes english more than math, try reading some bohm (ha). wigner to shimony on bohms qm textbook: "too much schmooze"
 
what is $\prod$ called?
 
Iterated product?
 
Pi?
 
oh its like a $\sum$ but for products
yeah @slereah
 
yes
 
6:59 PM
that's good to know :P makes things easier
 
Strangely enough there's no equivalent symbol for continued fractions, even though it's a thing
 
hmm.. maybe they ran out of greek symbols/letters
 
math people aren't above making up new symbols
I've seen an author using hearts
it was the cutest paper
 
lmao
 
@Slereah I've seen people use $K_{i=1}^\infty a_i$ for continued fractions
 
7:09 PM
Oh yeah
 
quick what is the tex command for greater than
detexify messed me up i need to edit a comment D:
 
geq
Oh wait
Just > is fine
 
actually > works
yeah thanks though
 
@skillpatrol : a whole year isn't as bad as a life sentence.
@JohnRennie : Who? And why?
 
7:28 PM
Yawn.
Bye.
 
What's the difference between an ideal and a center
Is it just that an ideal is also a subgroup
 
7:46 PM
" the algebra of n×n-Matrizen"
Der Matrizen
 
As the density increases what happens to the centroid? It increases right?
Bc centroid is directly proportional to density?
 
Can we have a filter on SE
If a question contains "really exist", a warning pops up
 
user54412
@DavidZ Don't forget astro!
 
user54412
@EmilioPisanty You know, astrophysics has moved to online-only publication. Do you see your field doing that any time soon?
 
@skillpatrol Why do you ask?
 
8:24 PM
@Slereah an ideal is the ring-theoretic analogue of a normal subgroup, but you have group and ring structure at play, while the center of a group is the set of all elements that commute with all elements of the group and from this you can prove that the center is a normal subgroup,
 
8:41 PM
I wonder how the euler function would be programmed @BernardMeurer you should try it m8.
 
8:57 PM
Who summoned me?
Oh, hey @Obliv
 
helloo
it counts the amount of relatively prime numbers to the input
 
Do I get some pecan pralines if I succeed?
 
so $\phi(3) = 2$ sure
you would have to be able to distinguish when the inputs are a single number, a number raised to a power, or a prime factorization of the number :D. @BernardMeurer the function is multiplicative when the inputs are relatively prime to each other like $\phi(ab)$ iff $(a,b) = 1$ so for the prime factorization of a number as an input, you just break the function up to a bunch of primes raised to some power.
 
I have a pretty fast implementation of the sieve of erasthotenes in C++
Hmm
Do you know c++?
 
@ChrisWhite I don't really know anyone who reads print versions of journals (but I don't go around asking, either). Or do you mean that journals simply don't print physical copies? I don't really see any of the Phys Revs or the J Phys's doing that, to be honest, and that's where I spend most of my journal time.
 
9:08 PM
@BernardMeurer i have no idea what you just said. i took a semester course at my hs 2 years ago and very quickly forgot anything I learned if that counts :D. i took java for 3ish yrs so I would understand that better
btw, whats the advantage of one language over the other? they're pretty similar, no?
@BernardMeurer I googled it that looks really cool honestly. I don't think it's as complicated for the euler function since it's just relatively prime numbers to the input. not sure tho tbh
 
@Obliv The sieve you mean? A sieve is a method that is useful for finding primes, I just mentioned it because you said prime factorization and everytime I hear that word I think "Erasthotenes"
 
@BernardMeurer You could reuse that implementation and just automatically count all the primes in between the input and 0. Then you just need to find the other relatively prime numbers by seeing if they have a common factor.
 
Yep, exactly what I was thinking :)
 
Still talking about boring primes, eh? :P
 
only until I'm done with these exercises. then it's onto the integers modulo whatever that means
 
vzn
9:19 PM
hi guys some cybersynchronicity, this (yet-unanswered) question popped up recently on Computer Science, similar to some of the number theory youre discussing (prime sieving), based on a programming exercise, maybe someone would like to "take a stab"
4
Q: Sum of divisors summatory function with Erathosthenes' sieve

IgorI ran across the following problem from an online problem bank: there are up to $~10^5~$ queries each of which asks to compute the sum $$\sum_{k = L}^{R} \sigma(k)$$ where $\sigma(k)$ is the sum of divisors of $k$. It is given that $1 \leq L \leq R \leq 5\cdot 10^6$. My solution (described below...

 
"cybersynchronicity" is a very strange word for "coincidence" :P
 
vzn
@ACuriousMind "synchronicity" comes from jung. one of those non-hard-science (soft) mysticists (@#%&!) ps there is an obscure/ deep connection between primes & QM. still boring? :P
 
cyber-coincidence?
 
that function gets the sum of all positive divisors to the input not relatively prime numbers :o
 
@vzn "there is an obscure/ deep connection between primes & QM" [citation needed]
 
vzn
9:25 PM
@ACuriousMind lol like youre gonna read it (sigh)... digging it up...
 
that looks too interesting to turn down I'll give it some thought
 
@vzn I read most of the things you link in support of your...unconventional statements, they just rarely convince me.
 
vzn
@ACuriousMind awww thx for that :|
...
 
me too
 
vzn
lol just needed great/ slight excuse to post that here. see [a2] "Dyson/ Montgomery". actually a very old ref... but maybe/ presumably ppl have built on it some... would like newer refs if anyone knows of any...
primes are like the atoms of number theory =D
 
9:33 PM
@ACuriousMind Primes give me nightmares, as I think I mentioned before here
 
I don't even understand how his first formula retrieves the sum of the divisors of the prime factorization that was inputted.
 
Which formula?
 
some formulas seriously remind me of paintings. I have to analyze the meanings of the symbols and their relations to each other to get any meaning out of it :(
the one in the question posted by vzn
a)
 
Is this ctrlv.in/738353 a correct strategy for this? ctrlv.in/738352
 
@vzn: I'm sorry, but that one may rephrase the Riemann conjecture as the zeros being eigenvalues of a self-adjoint operator, and that they look like the eigenvalues of certain random matrices is not an "obscure/deep connection to quantum physics" since most of quantum physics has nothing to do with random matrices. Not all things that are modelled by the same mathematical theory have a "connection".
 
9:56 PM
@ACuriousMind You are blinded by your "science"
 
vzn
@ACuriousMind Dyson/ Montgomery/ others would seem to disagree afaik. admittedly not an expert in this area.
 
If I'm given potential difference and charge across a cap and told that inserting the dielectric keeps the same voltage, how can I compute new charge (after dielectric)?
 
vzn
@Obliv are you going to a university?
 
@vzn I see no evidence of that. Dyson was able to note that the zeta functions zeros appeared to be distributed like eigenvalues of a random matrix, which he was able to see because he had worked with them a lot in the context of physics. This doesn't imply that the zeta function itself actually has something to do with the physical application of random matrices.
And then again, the physical application of random matrices is something far smaller than "quantum physics".
 
user54412
@EmilioPisanty Yeah, our journals don't even have physical copies anymore. At some point it can't be worth it to maintain the printing facilities and expertise I imagine.
 
10:04 PM
Or can I use V=Fd/q
 
@vzn I wouldn't consider the school I'm going to currently a university. I plan on transferring to a real university next year, though. How about you?
 
vzn
@Obliv work in industry. graduated BS software engr decades ago
@ACuriousMind so let me guess, you would argue with Sautoys assertion as follows seedmagazine.com/content/article/prime_numbers_get_hitched
> It is striking that Dyson should have written about scientific ships passing in the night. Shortly after he published the piece, he was responsible for an abrupt collision between physics and mathematics that produced one of the most remarkable scientific ideas of the last half century: that quantum physics and prime numbers are inextricably linked.
 
Yeah, that's a ridiculous overstatement.
 
vzn
ah, ahem, must admit think others have criticized sautoy. he writes popsci book(s). horrors o_O
so guess magic doesnt exist in the universe, after all :(
 
back in the day I hung out at a school in Northern California(I have done this at 3 schools in this region) anywho, I wanted someone to teach me CFT, and they said I needed to know GR first. I get where they are coming from, but they should have just told me about the Killing differential equation, and then said . . . . . g \rightarrow \Omega g and then . . . . . 2 dimensions infinitely awesomely symmetric. . . .
Any who, what's up with cross ratios, and who came up with that stuff
I used to think it was voodoo
 
10:15 PM
Hello guys
 
hey dude
 
I permit myself to ask my question here as it is interdisciplinary
 
and there is nobody in the mathematic rooms
 
what is CFT @kevinTahN. ? Just curious since I know nothing about anything ;p
 
10:16 PM
I have some difficult equations (imgur.com/z0QQXfQ)
which I need to combine in order to obtain this:
what would be the best way to start and to verify whether it is even possible?
@kevinTahN. any idea?
:(
 
vzn
@ACuriousMind hmm, surfing around... so some pair of oxford profs (Keating/ Snaith) are not much good enough for you either? keeping those stds astronomically high as usual! bristol.ac.uk/maths/research/highlights/riemann-hypothesis
 
@vzn You have to read what technical statements they actually make! You keep citing these press releases and articles which are purposefully more grandiose-sounding
 
vzn
@ACuriousMind the press release (horrors!) was written probably with the influence of the profs themselves. the PR is excited, but factual at same time.
 
@vzn For instance, this is the actual Keating/Snaith paper. The phrase "quantum physics" doesn't appear at all in this paper, and the only time "quantum" appears is in reference to a conjecture that in the semiclassical limit all generic chaotic systems have the same distribution of eigenvalues as these zeros.
 
@Obliv It is a type of (Quantum)field theory which posses a special type of symmetry. Typically people would say angles are preserved, which is true. I was told this, but it probably does not say much.
 
vzn
10:23 PM
this reminds me of a conversation with a hollywood dude c~2000 complaining about a siggraph simulation, a few yrs before similar technology went on to make billions $$$ for pixar etc...
 
ctrlv.in/738363 could someone suggest a strategy please?
 
The trick is to learn this by first thinking of where Killing vectors come from in GR, then the meaning of Conformal killing vectors, then invoking Noether theorem, and computing the Lie algebra. Most texts just dump virasoro algebras without properly motivating them, . . . may be learning Witt algebra and how they arise naturally is a good idea.
Anyways I am no expert, but I think Conformal Field theory is just a consequence of relaxing the "Killing condition" in GR. when you do this you arrive at two possible transformations.
 
Nowhere do they speak about something so general as a connection to "quantum physics", or suggest that the zeta function itself might be related to physical dynamics.
That's because they are competent people, and make specific useful claims instead of sweeping generalizations.
 
@Obliv I wrote a bit to answer the question, but I am far from being an authority on any of this, all I have done is attempt to articulate my tiny understanding of what I think CFT is all about
 
vzn
@ACuriousMind not an expert on this stuff, but think you are mischaracterizing it to some degree.
 
10:27 PM
@trilolil hey dude, I could not find what you were asking about. Can you try to articulate the question in the chat. I will look at it but most importantly there are more competent people on here who would see it too, and are best prepared to help
 
@kevinTahN. The problem is that at the usual level of physicist's rigor it's always going to be a bit confusing where the hell that "central charge" in the passage from the Witt to the Virasoro algebra comes from :P
 
Hehehe, that's true :D
 
vzn
29
Q: Riemann Zeta Function connection to Quantum Mechanics.

Eric NaslundI feel like this question is probably wrong for MO, (too low level, perhaps unclear) but my curiosity has got the better of me: I hear that the Riemann Zeta Function and its zeros have applications to quantum mechanics, as well as other fields. I do not understand these connections, and because...

In mathematics, the Hilbert–Pólya conjecture is a possible approach to the Riemann hypothesis, by means of spectral theory. == History == In a letter to Andrew Odlyzko, dated January 3, 1982, George Pólya said that while he was in Göttingen around 1912 to 1914 he was asked by Edmund Landau for a physical reason that the Riemann hypothesis should be true, and suggested that this would be the case if the imaginary parts t of the zeros of the Riemann zeta function corresponded to eigenvalues of an unbounded self-adjoint operator. The earliest published statement of the conjecture seems to b...
 
@vzn: Note: I am not saying there is nothing in quantum mechanics that is connected to something about the zeta function. What I'm saying is that statements like "quantum physics and prime numbers are inextricably linked" are far too broad. There is a specific subfield of quantum mechanics in which the same patterns as in the zeros of the zeta function show up. But that's it.
 
vzn
@ACuriousMind think this is a work in progress/ crosscutting research program that involves topnotch scientists building on it (with quite different bkgs, ie math/ physics, hence some cultural gap), that it may develop to more in the future, and agree parts of it are merely sketchy/ coincidental at this point.
nice survey here arxiv.org/abs/1101.3116 Schumayer / Hutchinson
 
10:39 PM
@vzn Now that's a nice article! It's specific about where the connections lie, and which quantum systems actually show the relevant behaviour.
 
@trilolil actually you can send me the equations, I could probably give them to a little program I wrote to see if it solves them, otherwise I could try to solve them sometime tonight. As long as they are some form of applied functional analysis I should be able to say something about them :P, no promises though
 
vzn
@ACuriousMind lol it was written by physicists... ok then!
 
@vzn Hmmm? I mean the one from ias, which appears to have been written by "just" a journalist :P
 
vzn
this turned up too. looks like a term paper maybe by grad student...? guava.physics.uiuc.edu/~nigel/courses/563/Essays_2008/PDF/… / Lyon
 
if a liquid mass starts out in the shape of a sphere and experiences a force acting on it in one direction and a force acting on it in the opposite direction, would the shape change? I imagine yes..
 
10:43 PM
@vzn Arrrrgh, it's in Word, my eyes!
2
 
If it were only 1 force in one direction I feel like the mass would stretch. Not sure though. For the example above though I feel like it would oscillate or something crazy.
 
Seriously, these inserted formulae look horrible :P
 
vzn
:: evil laugh, bwaHAHAHA! ::
 
@Obliv How are the forces acting on the "liquid"? Typically, you can't have forces acting on a "liquid" because it just gives way to whatever is exerting the force.
 
It's gravity for one, the other would be drag force which would act perpendicular to the surface.
 
10:46 PM
@Obliv So...you're trying to tell me you're wondering what the shape of a raindrop is? :P
 
yea :D
drag force is basically an enormous amount of collisions/momentum impartation so I imagine some weird things would happen to the liquid
brb
 
@ChrisWhite That's crazy!
But also, I guess, why not
 
@FenderLesPaul: Here's an Academia question for you ;)
 
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