« first day (1811 days earlier)      last day (3416 days later) » 

user54412
17:01
@JohnRennie So the well-to-do ones? ;) Have you seen @dmckee's recent post? It links to this chart, which shows I didn't quite pick the right major.
@ACuriousMind get ready to be disappointed
what does "infinite dimensional representation" even mean
@0celo7 It's a representation on an infinite-dimensional representation space, duh.
@ChrisWhite I'm a bit surprised at that, though I guess physics is a very broad discipline - not every physicist gets to work as a quant.
instead of the boring old finite dimensional ones of SO(3,1)
@ACuriousMind fine
17:03
The rep $(p,q)$ is... $p+q$ dimensional?
I forget
wait no
That's too low
@Slereah $2(p+q+1)$ since the spin-$p$ rep of SU(2) is $2p+1$-dimensional.
Ah yes
@ACuriousMind So you're not going to answer seriously?
6 D for vector fields
user54412
@JohnRennie Very true. I keep hearing about how "there's always finance," and certainly all my friends who aren't doing PhDs are quants and traders, but that just can't apply to everyone, right? There are surely far more physics undergrads than people working in finance?
17:05
Which is indeed the dimension of the Lorentz group on vectors
Wait
That would mean that the scalar rep is 2D?
Isn't it 0D
@0celo7 Hmmm?
@Slereah Well, 0 is an exception.
aight
@Slereah Vector fields are $(\frac{1}{2},\frac{1}{2})$.
Oh right
So the dimension is indeed 4D, as it should be for 4-vectors.
17:07
@ACuriousMind "infinite dimensional representation space" does not help and you know it
@ChrisWhite When I graduated (first degree not PhD) I got offered a job by Marconi Space and Defence Systems working on microwave tech. That's probably representative of lots of jobs for physics graduates.
Oh that's the dimension of the object, not the transformation
@Slereah The 6D (1,1) is the traceless symmetric 2-tensor.
Explain like I'm a German high school student.
Even that might be too much maturity.
@0celo7 I don't know what more you want to know. You know what a representation is, right?
17:08
Hm, are spinors 3D?
It's two complex numbers
What's the restriction that causes them to be 3D
@ACuriousMind No clue. That's what terrifying me. I'm forgetting everything.
o/ @ChrisWhite
Do they have to be normalized
@Slereah Hm, no there are 0s again
How's the grad school life
17:09
Oh
WHEN WILL YOUR LIES CEASE
Spinors are $(\frac{1}{2},0)\oplus(\frac{1}{2},0)$,
Well full spinors, yes
But not left and right spinors
@Slereah define "3D" :)
They're the weird kind of 3d that quantum 2 state systems are
@ChrisWhite :D
17:10
3D as in defined by 3 basis vectors :p
user54412
@ManishEarth It's job season. So it's all about giving talks and writing research statements.
user54412
Also having results to talk and write about.
I, on the other hand, probably will not stick in this field :/ Still enjoy it, but I've realized I'll have more fun programming
17:11
@Slereah: My formula was false. The correct one is $(2p+1)(2q+1) = 4pq + 2(p+q) + 1$
This one should really be correct.
WHY MUST YOU LIE TO ME
Hm, that's still 3D for spinors
Hm, no, it's also false :/
Same question!
@Slereah wat
Plug in $p=1/2,q=0$. That's 2.
Oh yes
Hm
Does two complex numbers count as 2D?
17:13
wat
4 mins ago, by ManishEarth
@Slereah define "3D" :)
Well a spinor is just $\mathbb{C}^2$ no?
The term 2D is meaningless
My formula is false for $p=q=1$, though
until you specify what you want it for
are you looking for independent variables? what?
17:14
@Slereah Ehhh, wouldn't phrase it like that but yeah
I'm looking for what that formula corresponds to :p
Well how would you phrase it!
@ACuriousMind A representation is a homomorphism from the group into GL(V) where V is a vector space, right?
If yes, then yes, I know what that is.
@Slereah The dimension of the representation space as a complex vector space
I mean books like to overcomplicate it by bringing in Clifford algebras and spin groups
@0celo7 Indeed.
17:15
And yes, I know what a homomorphism is.
But in the end all of those still just act on a section of a $\mathbb{C}^2$ bundle
@Slereah Don't get me started on physicists and group theory again
user54412
@ManishEarth I think I called that years ago.
@ChrisWhite A lot of people did
@ACuriousMind : Well how would you describe it :p
17:17
@ACuriousMind So what is an infinite dimensional rep?
@ChrisWhite The only thing stopping me from doing programming was that I wasn't sure how I'd enjoy working on stuff other people tell me to, rather than personal projects. But that's the case with physics too
A programming internship straightened me out
@Slereah A Weyl spinor takes values in $\mathbb{C}^2$ with the $(\frac{1}{2},0)$ or $(0,\frac{1}{2})$ representation of the Lorentz group acting on it.
Well yes, that is what I am saying!
@0celo7 The case where $V$ is infinite-dimensional. I really don't know what else you wanna hear
@Slereah You said "A spinor is just $\mathbb{C}^2$". :P
@ACuriousMind Why is V infinite dimensional for the Lorentz group?
Don't say because it's non-compact
17:19
@0celo7 Uh, no, that's not how it works.
$V$ can be finite-dimensional for representations of the Lorentz group. Just not for unitary representations.
;_; what's a unitary representation
I literally know nothing...
It belongs to the unitarian church
@0celo7 A representation where the image is not just in GL(V), but V is a Hilbert space and the representation is into U(V)..
Is it not the case for the finite dimensional ones?
Ahh. So the physically useful Lorentz group representations are unitary matrices on an infinite-dimensional Hilbert space?
17:23
$R^4$ is a Hilbert space and $SO(3,1)$ is unitary, no?
4
A: Lorentz Algebra Representation and QFT

ACuriousMindThe confusion here arises because we are not fully analogous to non-relativistic QM here. Given a (quantum or classical) field $\phi$, we usually specify whether it is a "scalar", "spinor", "tensor", whatever field. This refers to a finite-dimensional representation $\rho_\text{fin}$ of the Lore...

@Slereah No.
user54412
@ManishEarth So the question is where will you be programming?
what part
$\mathbb{R}^4$ is only a Hilbert space with the standard Euclidean product, but $\mathrm{SO}(1,3)$ does not preserve that product, so it is not unitary.
@ChrisWhite I have a pre placement offer from Microsoft India. Base case. Google recently contacted me. Not sure if I want to go to Google, but I'll leave that option open. Going to apply to Apple (compilers) and Mozilla (browsers) too.
also maybe some startups
user54412
17:25
@ManishEarth All in India?
Can I please have a group theory and QFT book at the level of German middle schoolers that doesn't suck?
Please?
@ChrisWhite No. Only Microsoft is in India
Oh I see
why do we ignore spin in the solution to the hydrogen atom?
@ChrisWhite I'm a US citizen so no visa troubles
17:25
@GennaroMarcoDevincenzis Do we?
@Slereah I mean the elementary solution, the one in most textbooks on non relativistic quantum mechanics.
@GennaroMarcoDevincenzis Because it decouples. Adding spin gives just two (or more) copies of the spinless solution.
pretty much yeah
Unless you count the magnetic field of the nucleus
user54412
@ManishEarth Apple makes compilers? Is this why they're silently getting rid of gcc from their OS? Some sinister plan to subvert all software that runs on their machines? :p
@0celo7 Only when I'm finished writing it ;) I didn't learn all those things from a single book or lecture, I pieced it together over about two years.
17:28
@ChrisWhite They never had GCC on their OS
@ChrisWhite
administrators-Mac-mini:~ administrator$ gcc --version
Configured with: --prefix=/Applications/Xcode.app/Contents/Developer/usr --with-gxx-include-dir=/Applications/Xcode.app/Contents/Developer/Platforms/MacOSX.platform/Developer/SDKs/MacOSX10.11.sdk/usr/include/c++/4.2.1
Apple LLVM version 7.0.0 (clang-700.0.72)
Target: x86_64-apple-darwin14.5.0
Thread model: posix
:)
Apple is heavily invested in clang. Mac gcc is just an alias to clang.
@ManishEarth Are mozilla really hire any people?
@hwlau careers.mozilla.org/en-US/
@ACuriousMind If you ever write a book, write it with me in mind. Physics books are inaccessible for me. I don't know why.
@hwlau If I could make open source stuff my job I'd be really happy
Esp if it's servo or something
user54412
@ManishEarth I know. Recent OSX machines come with gcc as an alias to clang. Which we found out when people in our group started reporting that our code doesn't compile with gcc on their machines, even though we know it compiles on gcc.
17:31
@ChrisWhite "recent"? I thought this has been going on for ages
Though I don't use macs, I wouldn't know
user54412
@ManishEarth I'm old. The years fly by.
@0celo7 It will be a pure definition-theorem-proof style mathy book. What else did you expect from me? ;)
@ManishEarth It seems there are lots of opening, how can they hire that much poepel
user54412
@ManishEarth And you want to be a programmer? :P
@hwlau Why not?
17:32
@ManishEarth sure it is
@ChrisWhite linux ftw
@ChrisWhite lol, what? Instead of telling you the program is not installed, it executes are different program?
@ManishEarth where is the income from?
@hwlau Yahoo, actually
used to be Google.
user54412
@ManishEarth ::caresses macbook:: ::affectionate purring::
17:33
whoever the default search engine is. Also some revenue from other search engines
@ChrisWhite I have had nothing but bad experiences developing on macs
You need sudo to run a debugger
@ACuriousMind That would be nice. But you'll probably write it at a level that will be way beyond me
sudo.
for debugger.
why
Also sometimes command line tools need you to re-accept a license. Also needs sudo.
user54412
@ACuriousMind Yeah pretty evil. But when was the last time you were legitimately surprised by evil in the world?
seem bad security model
@ACuriousMind : Is the CSR similar to like
A wavefunction?
Vector with a continuous index
And is it a particular Hilbert space
17:38
@Slereah No, no, no, I don't think so. They're just representations which appear because the little group of massless particles is this weird $\mathrm{ISO}(2)$-thingy or whatever, and not just an $\mathrm{SO}(3)$ so that we get spin.
"Continuous spin" probably because they just aren't representations of $\mathrm{SU}(2)$.
Hm
But what object is it :O
I still don't know
On which object does the representation act
@Slereah On what "objects" do the other infinite-dimensional unitary representations act?
yes
On what elements of what vector space, if you will
No, I mean, what is the answer to your question for the spinor case, for instance?
Well $\mathbb{C}^2$ I guess
17:43
If they're infinite dimensional why can I write down the transformation rules for the fields explicitly
@Slereah The infinite-dimensional unitary representation the states the spinor field creates transform in is certainly not $\mathbb{C}^2$.
I mean in the finite case
Like a vector transforms with a 4x4 matrix
I don't know what it is in the infinite dimensional case!
that is what I ask
That's not infinite dimensional, is it?
17:44
@0celo7 I thought I discussed that by posting this answer
Never seen that axiom before.
@Slereah Then your question doesn't make sense, I'm afraid. Contrary to the other cases, the CSR does not have an associated finite-dimensional representation of the Lorentz group.
Because you can classify all those finite-dimensional reps and they're just the spin $(p,q)$-spin ones.
@0celo7 Yeah, most people are pretty bad at distinguishing between the non-unitary representation the fields take value in and the unitary representations the states live in and the fields are operators on.
@ChrisWhite I still remember the first time I went gcc -v and got a clang answer. Everything stopped for half an hour while I webbed p one side and down the other. BUt I write reqasonable portable code, so I was able to adapt fairly easily.
Until I went gdb. That change really bit into by work flow.
@ACuriousMind : It still has a representation with some $GL(V)$, though, right?
I am just wondering what V is in this case
@Slereah An infinite-dimensional separable Hilbert space. They're all isomorphic as Hilbert spaces, so nailing down any specific space is rather useless.
17:49
Hm
You may think of the $V$ (except in the CSR case) as being the one-particle space inside the Fock space of the field with the corresponding finite-dimensional representation.
What would a component of a Hilbert space vector correspond to, if that makes sense?
Like how it would be an eigenstate of some operator in QM
@Slereah Vectors in Hilbert spaces only have "components" after you choose a basis.
Is there a basis that suggest itself naturally in this case, though
Ehhh...in the abstract case, no. In the Fock space case, well...no, because the momentum states aren't actual states in the Hilbert space :D
17:53
(RIGGED HILBERT SPACE BABY)
But I mean for the CSR :p
@Slereah No idea.
dang it
It remains a bit abstract :p
And what would be the EOM for a CSR too D:
So many questions
@Slereah No e.o.m. because it doesn't belong to any field, I think.
The CSR is really, totally and completely unphysical from a QFT standpoint.
Since you can't fulfill that Wightman axiom about an associated finite-dimensional representation.
...what sparked your interest on those, anyway?
Not physical doesn't mean it hasn't been studied :p
I was looking up Wigner stuff because I was looking at tachyonic representations
Because there really isn't much for tachyons
what do
don't know what to learn
18:02
learn about birds
I meant math/physics wise
I'm not ready for Arnold
bird physics
I'm not ready for, well, any of the books I have
landau's book on QM
maybe
I just want to know what I'm doing wrong
18:05
It's genetics
Engineers can't learn physics
I guess...
well, what do I do now? my faculty advisor pulled strings to get me into analysis next semester also I'm taking probability 1
I can probably change my classes
0
Q: preservation of $d\Omega^2$ maintains spherical symmetry?

Beyond-formulasMinkowski metric is found to be $$ds^2=-dt^2+dr^2+r^2d\Omega^2$$ where $d\Omega^2$ is the metric on a unit two-sphere. Why is it said that once we maintain the form of $d\Omega^2$, we maintain spherical symmetry where everything else can be multiplied by other coefficeints?

What?
I dunno
if you multiply by $xyz/l^3$ you lose spherical symmetry, right?
$l$ is for dimensional reasons
0
Q: Covariant derivative acting on $\delta R$

WilliamIn this question I am seeking a nice methodology. Maybe the experts on the site can help me on this. I am trying to find the GHY term for a higher derivative theory of gravity. Partly, I have figured how to find the boundary term, it is long calculation and somehow irrelevant to this question so ...

indices...they are the tools of the devil
18:40
@ACuriousMind On the bottom of page 224, Arnold says we identify the action of $I$ with mutliplication by $\mathrm{i}$. But the condition $I^2=-E$ says only that the eigenvalues of $I$ are $\mathrm{i}$ or $-\mathrm{i}$ and if I remember some complex geometry, this is where we say half are $\mathrm{i}$ and the other half are $-\mathrm{i}$. Is this a typo?
@ACuriousMind Also how is $\mathrm{GL}(n,\mathbb{C})$ the group preserving the complex structure? Why $n$ and not $2n$ (and I don't see why $\mathrm{GL}$ is the right group).
GL is always the right group
then answer my question
@0celo7 No, it is not a typo. The idea is that since $I^2 = -E$, we can define a multiplication of a vector $v$ by a complex number $a+b\mathrm{i}$ by $(a+b\mathrm{i})v = av + bI(v)$. Hence $I$ is "multiplication by $\mathrm{i}$".
Another thing I can't remember
Great.
@0celo7 There is a basis in which $I = \begin{matrix} 0 & -E_n \\ E_n & 0\end{matrix}$. But the identity matrix is preserved by all invertible matrices, so $I$ is preserved by $\mathrm{GL}(n,\mathbb{R})\times\mathrm{GL}(n,\mathbb{R}) = \mathrm{GL}(n,\mathbb{C})$.
18:52
@ACuriousMind Ah, well that makes sense.
@ACuriousMind I've never seen it done that way.
@0celo7 You can see it another way. Taking my above form for $I$, the $2n$-dimensional space $V$ splits naturally into two $n$-dimensional spaces $V_1,V_2$, and you can think of it as $V = V_1\oplus\mathrm{i} V_2$. Call $V_1$ the "real" part and $V_2$ the imaginary part. Then multiplication by $I$ throws real elements to imaginary elements without change of sign, but imaginary elements to real elements with a change of sign. This is precisely what multiplication by $\mathrm{i}$ does.
19:16
@ACuriousMind Well I know it when you put it like that...
Huy
Huy
19:27
a student did some measurements of the intensity of some proton beam. however, it isn't very bundled, i.e. the protons have slightly different energies. the goal of the measurement was to compute the absolute difference of the "penetration depth" (?) of the protons. I was asked to help clear some things up but I don't know anything about this kind of physics anymore. what formula will be used here? @0celo7 do you by any chance know?
@Huy my knowledge is that of a German middle schooler
I have no idea
Huy
Huy
@ACuriousMind: Do you know by any chance?
"anymore"
when the hell did you learn about proton penetration depth
Huy
Huy
idk, maybe at some point I did
I don't remember 90% of the stuff that isn't maths that I learned at some point
@0celo7: what are you doing with complex structures?
nothing, apparently
Huy
Huy
19:29
I somewhat recall proving $G(4,2) \cong S^2 \cup S^2$ using them
oriented Grassmannian
that was pretty surprising
@Huy Well, penetration depth probably refers to the $\lambda$ in the Lambert law $I(x) = I_0\mathrm{e}^{-x/\lambda}$.
Where $x$ is how far into the absorber we are, $I(x)$ is the intensity measure there and $I_0$ is the initial intensity
Huy
Huy
@ACuriousMind: the student sent me their data and asked me to look at it so I can get an overview of it. I have like 300 entries of "current in magnet", "intensity" and then for some reason their product. should I be able to find $\lambda$ from this?
@ACuriousMind when did you learn about proton penetration depth
@Huy Uh, for that I'd need to know the experimental setup. What "magnet" is that? What are we targeting with the proton beam and where do we measure the intensity?
Huy
Huy
I wish I knew. I'll ask. It was done at the PSI, if that helps at all
(but I doubt it)
19:34
@0celo7 I did have some physics courses that weren't pure theory and I also had those terrible labs.
smh
@Huy You have to ask. Without a description of the experimental setup, data is pretty worthless
@0celo7 ?
Huy
Huy
@ACuriousMind: anything else I should ask?
@ACuriousMind nothing
I'm just...tired. Dunno why. Math and physics are exhausting me, this is a new experience.
@Huy Yeah, what exactly we are trying to compute. "absolute difference in penetration depth" sounds as if we measure the beam at different energies and look how far it penetrates into a fixed target for varying intensities, so that we get a curve telling us how penetration depth varies with beam energy.
Huy
Huy
19:38
ok
"those horrible labs" aka the main reason I didn't want to study physics ever
@Huy The sense of relief after we had completed the last one was one of the best feelings ever, though :)
labs are the best way to increase GDP
Huy
Huy
I imagine it is similar to what I will feel after I completed the last pedagogy course
"All Clifford algebras can be translated into power-of-two, diagonally limited binary connection matrices." Why bother? Objects like spinors become a simple hierarchy of recursive, almost hanging-mobile-like, major-minor diagonal transformations on the multi-scale quadrants of the resulting overall matrix. The various unnamed square roots of 1 (and -1) start to take on a much more definitive geometric flavor, also.
@ACuriousMind "penetration depth" = CSDA range?
19:51
@Loong I Yes, I think it depends on the field what you call it. It's also "attenuation length" and "mean free path" in some cases.
(I had to look up CSDA, never heard that before)
@ACuriousMind yes, and CSDA refers to the used model.
The ICRU report 49 includes the stopping powers and ranges for protons.
@Loong Have we stumbled upon your field of expertise here?
@ACuriousMind just a grazing shot
originally, I am a radiochemist who did much radiation protection and radiology and ended up in building nuclear power plants
20:07
@Loong Is that what you do now?
No, I quit that about a year ago.
Are you German? I can't imagine a German building nuke plants.
@0celo7 Yes I am German. And yes, our new-build projects were not in Germany.
of course, we had various small projects at the existing plants in Germany
I need to practice German but no one wants to speak German with me :(
@Loong Is there a German language chat?

 deutschsprachiger Raum

General discussion for german.stackexchange.com. You may speak...
but it is not really busy
> personally was hoping Mohamed would better document more somewhere how he built his clock so that naysayers could fade out some, but that seems not to have happened
Well he didn't build it, so there was nothing to document...
Garbage.
vzn
vzn
@0celo7 afaik/ afaict he has not described how it was "built". there is a lot of internet speculation that he just took apart/ disassembled a working clock.
Speculation? People found the model of clock he used. He had a printed circuit board for crying out loud. Not a bread board. Commercial printed circuit board.
vzn
vzn
@0celo7 think the attacks are unfair afaict. agreed its not really "invented" but he seems to have made some kind of modifications...? he does not seem to have said/ asserted anything outright false/ fabricated. think internet trolls are "over the top" on this one.
Internet trolls? He's the troll.
vzn
vzn
20:49
@0celo7 a lot of ppl seem to be "projecting" on this. doubt he had any nefarious intentions.
Then he's an idiot. Either way not worthy of the praise.
vzn
vzn
@0celo7 alas, a 14-yr old polarizing figure :|
What does his age have to do with anything?
Children can be evil and/or stupid.
vzn
vzn
@0celo7 lol (ouch!), seems pretty relevant to intrepreting the whole situation. guess youve never raised kids eh? :P
You're telling me "he's only 14" is an excuse for not knowing "his" clock looked like a bomb? But he's supposed to be some kind of genius? Give me a break.
You're also ignoring the fact that he showed the clock to a teacher who told him not to show it to anyone else.
So he also doesn't follow teacher's advice.
Yeah, real great kid.
Now leave it be.
vzn
vzn
20:56
ok, dude, think there is reason to find all this a tricky situation to say the least, but the excoriation of the kid seems out of line. dodging your (numerous) straw men. havent heard anyone calling him a genius.
@TerryBollinger Hi Terry, I missed your message. See you next time!
vzn
vzn
sometimes events take on a symbolic/ amplified significance far out of line with their "surface appearance". esp in hot-button political areas.
@HansdeVries Hi Hans! Again, that was some interesting work you did a while back in terms of giving different perspectives on standard items.
vzn
vzn
0ce, fyi, more on the facts of the case (wikipedia)
Also, Hans, this is likely more along your fellow-computer-science lines: A lot of this seemingly esoteric stuff about Cliffords and Grassmans and Hypercomplexes oh my really does seem to have some remarkably simple binary interpretations. I did not expect that. I just wanted a cleaner understanding of why spin matrices look so asymmetric. They really are not; it's just bad representation.
Must go now. @0celo7, shame on you, give it a rest. No kid should be arrested like that, and if you sincerely think he deserved that, you really need to control your imagination.
21:09
@TerryBollinger Give it a rest? I'm not the one who brought it up today.
21:56
heheh
22:23
Why don't they form a vector space? :)
@0celo7 : Have you ever seen the shortest math paper of all times
lel
why .-.
who would ever build such a device
@0celo7 you sound jealous and willing to delve into insane conspiracy theories to justify inadequacy, wtf?
What?
Why would a kid with a nasa t-shirt play with the circuitry of a clock? Shocking, must be a conspiracy
22:36
For the love of fuck, why can't people drop this?
f*ck
It's like a meme
You're the one who is saying he didn't build a clock, by this logic chair-makers don't really make chairs since they didn't make the wood, I'm just responding to this lunacy
Lunacy? Block me then.
I really don't give a shit anymore.
Now that you're called on all this you don't, but 5 minutes ago you had him sussed out
It's not a big deal, relax
5 minutes? Like two hours ago.
22:40
Internet time :-)
Good point
I'm tried of people giving this kid more than 15 minutes of fame. Drop it.
Internet time :-)
It's not about the kid though, it's about fighting against bigotry
22:40
Asynchronous
Wow. You actually said that. Just stop talking.
I would expect that to be difficult for someone who suspects his motives
What part about drop it do you not get?
The "drop" part has no meaning without gravity :P
Don't talk to me.
22:46
You know where the ignore button is pal.
Yup, done.
I don't care, he's blocked.
That song is a ear worm.
"I don't care"
For psycho chicks :P
@ChrisWhite @skullpetrol for every unit that block A above moves, block B moves...half as far?
(above = picture up a bit)
I don't see any "picture up a bit"?
@0celo7 That does not work for anyone but you. It instead sends everyone a prompt to login.
22:56
ah
well
Oh my picture changed!
it's actually double
I think
Thanks @ACuriousMind I was wondering what that was.
yes, B moves twice as fast/far as A
does anyone agree?

« first day (1811 days earlier)      last day (3416 days later) »