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00:00
Wait, is it "was" or "wie"
@0celo7 Both work
Damn, now I want some field salad.
>
The height ht(α) of a positive root α = 􏰕i niαi is simply ni, and the set of positive roots of height n is denoted Rn+.
Which $n_i$?
@0celo7 That's a typo, should be $\sum_i n_i$
Ah, ok
I fear I will have to learn group theory soon
Told you I never finished those, I take no responsibility for the things in there ;)
00:03
@ACuriousMind I'm going to have notes for Milnor after the summer is over
I don't want to take responsibility for those either.
are these covers for real?
@0celo7 Well, the name of the press is pretty whimsical, too.
@ACuriousMind Ok, getting a flask. Filling with rye whiskey for maximum white trash effect.
@0celo7 A...flask? As in Flachmann?
@dmckee I have to say, "Publish or Perish" is a pretty great name for a publisher :D
Especially for an academic publisher.
00:18
@ACuriousMind Genau.
Damn, don't have a funnel
Have to get creative!
00:36
@ACuriousMind Kentucky whiskey in a Jagermeister flask, I'm truly a bilingual man.
guys. . . . what is spectral flow symmetry?
do you know what spectral flow is, holy crap
not quite?
What is spectral flow?
I promise I can understand if you tell me what it is
I tried googling spectral flow and did not find much
hey guys, whats your favorite way to write up math on a computer when latex is not an option
or is an ineffective option
00:51
How can LaTeX not be an option?
@ACuriousMind well it sort of can, but the learning curve and time spent is a bit high when you are trying to literally just cram as much info onto a sheet of paper as possible
I think I'd choose to handwrite it, then
ive been trying to get in touch with a person I know who had a very easy to read hybrid going on to ask him wth he actually used
he just has to stop responding right when i ask the important questions...
LyX, perhaps?
Or Scientific Workplace. But the license for that beast is pretty high.
user54412
01:02
@dmckee sigh. Don't suppose there's any chance of them rejigging the script on this site?
@ChrisWhite I don't know. Even though I told @ACuriousMind that it is running I'm beginning to doubt myself. I may ask.
@ACuriousMind would lyx produce something that looks like this:
user54412
lyx is basically latex but it compiles in real time so you see what the final document looks like as you type
That looks like a framework was prepared and the math filled in by hand.
The symbols aren't completely uniform.
user54412
@user507974 no decent typesetting system is going to make something so... cluttered... in an easy way
01:05
@user507974 That looks pretty handwritten to me
If that is the case then you can prepare the scaffold in any old page layout engine.
its definitely not printed then written on though, the actual pdf has no pixelation
for the handwritten part
@ACuriousMind what's that
user54412
non-perfect characters + perfect vertical lines = tablet w/ stylus I think
@ACuriousMind Didn't end up going with rye
Got some Makers' mark, I know @dmckee likes that
01:07
@user507974 When I write stuff on my tablet with the stylus the output doesn't have pixelation, either
i guess what im trying to find is a good layout engine I can easily write over with on my tablet
@0celo7 a WYSIWYG interface for TeX
using @dmckee phrasing
with tablet support
user54412
3 mins ago, by Chris White
lyx is basically latex but it compiles in real time so you see what the final document looks like as you type
user54412
I'm not ACM, so no one pays attention to me :(
5
01:08
i suppose layers would be nice so that I can make a layer per written section
@ChrisWhite i paid attention =)
@ACuriousMind wtf is that
@ChrisWhite ACM knows more GR than you, sorry
@0celo7 what Chris said
@0celo7 WYSIWYG what you see is what you get
user54412
@user507974 Pure handwriting just works so well for these sorts of things. If it works for a Nobel laureate it's good enough for me :)
@user507974 what?
01:17
@0celo7 microsoft word is wysiwyg for example
its a type of editor
opposite of a scripter in many ways since that is writing commands to achieve a view
can you suggest any ebooks for understanding these complex physics with ease?
srednicki for qft if you want a book that is legally free
@NihalJalaluddinP you liked this video right?
@user507974 yes.
01:28
@NihalJalaluddinP do you know the eigenvalue problem?
@user507974 not yet.
ok, so youre at a pre-linear algebra understanding of physics
i want book that tech me basics of theoretical physics.
@NihalJalaluddinP your best bet is probably to start off by learning some linear algebra first
@user507974 ok .
khan academy has got videos based on these.
and i igot the book the book you recommended from helen srednicki.
01:31
most advanced physics is about looking at a problem from the right perspective, like that video was pointing out
this perspective can mathematically be thought of as a basis
i have got exams today.
will be right back.
just start with linear algebra and you are covering an essential base
sadly ill be gone in a minute or two
then.what?
calculus,rienmman and so on?
01:33
then if you want to learn quantum mechanics start with the linear algebra of complex vectors in hillbert space
learn some dirac notation, then you can start QM
ok.i have got a chapter named linear equation on one variable.
is this related to this?
do an MIT OCW for linear algebra
or something as comprehensive
MIT OCW?
i didn't get you
google it and the answer will pop up
Ok,thanks
Physics or mathematics?
01:39
linear algebra is a math topic essential to getting more complicated physics
alright.
ok its time to do Yoga.bye
lol
01:55
@0celo7 what is that a pic of?
huh?
@0celo7 your picture
@0celo7 ur icon?
oh the avatar
01:57
@0celo7 why you are always trolling me?
@user507974 it's a woman having a good time
@0celo7 who is that women?
don't know.
@0celo7 I can feel the blood pressure spike from my seat
@user507974 Are you an indian?
02:02
nope
ive been asked that a lot of times on this forum in particular
@user507974 then?
armenian
@user507974 ooh
@user507974 your profession?
student
02:05
physics, in case you wouldnt have guessed it
pretty far along in undergrad, but ive got to get back to studies. finals tomorrow
02:20
@0celo7 I turned in 70pgs of GR homework this last week.
holy shit
what for
oh, he lets you turn it in whatever
so i didn't do any of the quarter's homework until a week ago xD
ok
doing GR right now
0
Q: Fermi-Propagated Jacobi equation in the book The Large scale structure of space-time

HenryOn page 81, equation (4.6), the author use the Fermi derivative to write the Jacobi equation \begin{equation} \tag{4.6} \frac{{D^2}_\text{F}}{\partial s^2} {}_{\bot}Z^a = -{R^a}_{bcd}{}_{\bot}Z^cV^bV^d + {h^a}_b {\dot{V}^b}_{;c} {}_{\bot}Z^c + \dot{V}^a\dot{V}_b {}_{\bot}Z^b \end{equation} and al...

indices :)
Interesting! No idea what that is and no time to ask though haha
you're not doing singularities in your GR course?
02:26
Nope. We did the linearized EFEs, Israel's theorem (static+vacuum+asymptotically flat => Schwarzschild), hamiltonian formulation...
oh and static stellar models/mass limit on neutron stars
only Israel's theorem and the Hamiltonian formalism are interesting there :P
the other stuff is physics
xD I should tell my physics professor that. "I didn't sign up for a physics class!!! Well, I did, but you know what I mean."
@NeuroFuzzy I have little interest in GR from the physics perspective.
Nah I definitely agree
If I cared about stars, I would be an astronomer, know what I mean?
02:34
blah, i have to go do stat mech
See ya later! Good luck doing GR.
Bye, thanks, you too @NeuroFuzzy
 
2 hours later…
user116211
04:51
@user507974: o/
 
3 hours later…
user116211
10:28
@Slereah: o/
user116211
@Slereah Yesterday was horrific with JD.
Well then put him on ignore
It's not that hard
@user36790 you mean funny guy?
user116211
@Slereah Just take a view:
user116211
10:31
14 hours ago, by John Duffield
@ACuriousMind : you have me on ignore because you know I will absolutely wipe the floor with you in a physics discussion. You cannot counter my robust references to hard scientific evidence and peer-reviewed papers.
See if he was on ignore
You would not see that
user116211
@Slereah done.
user116211
@DeNiSkA no; he is not funny.
People do tend to come around after a while when I tell them to shun him
Cranks are fun for a while but then you realize that they will always say the same thing
@user36790 i thought you were talking about Nihal Jalaluddin P
user116211
10:33
@DeNiSkA No. Why should I talk about him?
user116211
@Slereah Damn true but they themselves don't understand.....
user116211
@Slereah: hmmmm.....
user116211
I fear ACM has put me in his ignore list ;(
10:52
@user36790 I don't think so
user116211
11:13
@HariPrasad fingers crossed :|
@krotov hii!!
user116211
@0celo7: Hey! o/
hello
user116211
@0celo7 ACM changed his profile pic; noticed it?
@user36790 he has
wtf @ACuriousMind
user116211
11:18
@0celo7 Damn ;(
@0celo7 wtf what?
@ACuriousMind your pic
oh damn cat wants me to feed him
leave me alone!
@ACuriousMind Is that the real you?
I have regressed in time again and am once again an NPC from Baldur's Gate
11:21
Who is this handsome man, @ACuriousMind
@ACuriousMind I thought you were a girl!
user116211
@HariPrasad Blonde, tall?
user116211
Nay; he is a beard dwarf :P
@HariPrasad My profile pictures generally don't depict anything close to myself :P
@ACuriousMind The Pics does show that you like "computer games"
11:25
Indeed they do
Although I don't know why you felt the need to put "computer games" in quotes :D
user116211
@0celo7: Can you ask ACM from me that whether he played AC?
@ACuriousMind can you please give me an umlaut
@0celo7 ä
Why?
oh an o pls
Nope, you wanted an umlaut, you got one. I can't give out umlauts all day
11:27
@ACuriousMind I quoted that because you sounds like a polite, humble, helpful person but not a person who plays "computer games"
user116211
;/
I need to spell the Picardy Lindenhofer theorem correctly for a PSE post
can't get umlauts to work today
@HariPrasad I don't see a contradiction between those two things.
11:28
ö
@0celo7 Why not copy it from the Wiki page?
oh
:P
You...didn't think of that? :D
I did, but then I though of you
Oh leave me alone, cat
he was hunting that spider for hours last night
@0celo7 He just missed you as much as you missed him, be a bit nicer ;P
11:30
he's attacking my clothes -.-
user116211
@0celo7 want my dog?
@user36790 want my cheetah?
I do
Send me the cheetah
I'll call him Chester
@ACuriousMind Is it true that I can always write a 3x3 matrix as $A=OS$, where $O\in\mathrm{SO}(3)$ and $S=S^t$?
this seems like some variant of polar decomp
11:31
Isn't that...polar decomposition or something?
Yeah
This guy is reading HE
Does it actually work for any matrix?
I hate to tell him, but I don't think he's ready
@Slereah sure
the wiki page has the construction
What about a non-diagonalizable matrix
Yes, that's just polar decomposition for a matrix with real entries
11:34
@ACuriousMind So $S=\sqrt{A^tA}$?
And then I have to verify that $S$ is symmetric.
@Slereah Why?
Chester Cheetah is a fictional character and the official mascot for Cheetos brand snacks and Chester's Puffcorn. According to an article in The New York Times, DDB Needham Worldwide was responsible for the creation of Chester; however, an episode of Unwrapped claims that the mascot was created by Hawley Pratt, the same man behind the Pink Panther. == History == === 1980s–1990s === Cheetos' original mascot was the Cheetos Mouse, who debuted in 1971 and disappeared around 1979. In 1986, Chester Cheetah was created by Brad Morgan, who art directed the commercials and designed the characte...
@ACuriousMind $\sqrt{M}^t=\sqrt{M^t}$?
probably works if you do a term-by-term thing in the power series.
11:36
That's a marsupilami
@0celo7 Not verifying your every step
Not a cheetah
@Slereah yes but my marsupilami's name is cheetah
Also, I have to go and give up snail mail. I feel archaic :P
huh?
@ACuriousMind If we have a solution to an ODE of the form $x=Mx_0$ where $x$ is a vector variable, can we say anything about the invertibility of $M$?
11:41
@0celo7 yes. It is invertible
Why?
12:09
@0celo7 The thing with the "don't ping me with questions unless you think I'd find them interesting or am uniquely qualified to answer them" also applies to you :P
@ACuriousMind You are uniquely qualified though.
I'd google it but I honestly don't know what to google :P
Also, I'm not sure I understand the question. You have an ODE, and some vector $x_0$ and $x = Mx_0$ is a solution to the ODE? Is $M$ a matrix of functions?
@ACuriousMind $M$ depends on $t$, yes
I'm solving $\dot x(t)=V(t)x(t)$ with $V(t)$ some other matrix
and the solution is of the form $x(t)=M(t)x_0$
I don't think you can say anything about $M$
@ACuriousMind well if it's not invertible I can't do polar decomp!
tfw you were working on an edit to an answer and restart the PC to get to your books on the other partition and delete all the work
12:25
I wonder why this question is not attracting more close votes
-1
Q: Griffith's Proof that a wave function will stay normalized is incorrect?

MrLolEthanIn Griffith's book, Introduction to Quantum Mechanics, in the equation: he leaves out the term: This seems completely wrong to me. Why is he able to ignore the potential term? Is this proof even correct? I've tried including the term, and the result I get says that the wave function should...

It's pretty clear OP was just too lazy to check the 2 lines of derivation by hand.
> Hint: Use the fact that the potential V∈ℝ is real.
ATM machine?
@ACuriousMind WTF
Yeah, I don't get it, either
@user36790 @JohnRennie why did you vote to leave that open? ^^^^
It's a prettttty obvious homework+insufficient effort case, IMO.
user116211
12:32
@Danu OP didn't seem to understand the derivation; he asked for it; I'm not seeing any problem- well, insufficient effort though.
@user36790 Insufficient effort is one of the main reasons of closure of questions.
user116211
@Danu You can't overlook his misunderstanding which is what he wanted to shun.
12:49
@user36790 @Danu does what he wants
3
Q: Closed timelike curves in the spin-2 gravity formalism

SlereahLet's say we take some topologically trivial CTC spacetime, like the Gödel metric: $$ds^2 = -dt^2 - 2e^{\sqrt{2}\Omega y} dt dx - \frac{1}{2}e^{\sqrt{2}\Omega y} dx^2 + dy^2 + dz^2$$ And then I recast it as a spin-2 field over Minkowski space ($g_{ab} = \eta_{ab} + h_{ab}$): $$ h = -\left( \...

@Slereah I'm not sure what the question here is.
It was a bit fuzzy but basically I was wondering
What happens to the gravitational field in the Pauli Fierz formalism when CTCs form?
The causal structure remains the same, since it's just Minkowski space
uh, what?
causal structure is determined by the metric up to a Weyl transformation
What part do you not understand
not the topology
Pauli Fierz has a static metric, though
12:54
huh?
Do you know what Pauli Fierz is
yes, I gave you the fucking paper on it
It's a field on a static background
is there a theorem that says $\mathbb{R}^{3,1}$ cannot have CTCs with any metric
But since it is still GR
CTCs can form
So I wonder what signifies this, in that formalism
Pauli Fierz has a flat metric, though
12:56
CTCs are determined by the curved metric, not the flat one
timelike vs. other is determined by $\eta+h$, not $\eta$ alone
Yes but
Why does everyone have such a hard time understanding
It always takes forever to explain
There is no metric in Pauli Fierz
Everything happens in Minkowski space
The role of the "metric" is just the spin 2 field
The causal structure is just flat space, with a field acting on it
Proof?
the causal structure is the light cones
how are the light cones understood
The light cones are just those of Minkowski space
then all of causality is broken
13:01
Not really
I suspect that in the case of CTCs and such
The gravitational field just propagates outside the light cone
Due to the odd way the interaction works
user116211
@0celo7 'd keep that in mind.
@Danu calm down Mr. White, you'll hurt your back
@Slereah if you mess with the light cones you break everything
the geodesics are different
Well there's nothing technically against field going out of light cones
No mathematical reason against it
not if the DEC holds
do you calculate the energy conditions wrt. $\eta$ or $\eta+h$?
I should do it yeah
13:10
do what?
btw
Note in the question
"Should I try to find out its stress energy tensor and check its dominant energy condition?"
how do you calculate $T_{ab}$?
I guess just by looking at the canonical SET?
Is it $$\frac{\delta\mathcal{L}}{\delta(\eta+h)}|_{h=0}$$
actually that would be $T^{ab}$, I think.
how do you lower indices?
with $\eta$ or $g$?
Ahahah
Yeah that is Complicated
13:13
ok so to calculate energy conditions you need a metric, right?
which metric do you use
@0celo7 $$T_{\mu\nu}=\pm \frac{2}{\sqrt {-g}}\frac{\delta S}{\delta g^{\mu\nu}}$$
Hence why I would go more with canonical stress energy tensor
@Danu I know how to calculate the energy momentum tensor, no need to insult my intelligence
@Slereah the Noether one?
@0celo7 Meh, it's a lot more difficult than many other things you don't know. I'm not keeping track of your knowledge and how it differs from one subject to another
13:14
@Danu It's basic GR
5
A: Energy-Momentum Tensor for Electromagnetism in Curved Space

0celo7The energy momentum tensor is found by varying the metric and holding all other fields constant. Since clearly $$\frac{\partial F}{\partial g}=0\longleftrightarrow \delta_gF=0$$ we end up with $$\delta_g S=\frac{1}{2}\int\mathrm{d}v\,\left(F^2g_{\mu\nu}/4-F^\tau{}_\mu F_{\tau\nu}\right)\delta g^{...

@Danu wait, what things don't I know are easier than that
Also checking the DEC sounds a bit excessive
@Slereah isn't that the one you check for propagation outside of the light cone?
No
The DEC is that + some condition on the energy
Propagation outside the lightcone (well, technically the sign of the momentum flux) is the FEC
let's get out HE...
check p. 94
Yes, but
The DEC is excessive for that
13:26
ok, which one do you need then?
The dominant energy condition is the momentum being causal AND the WEC
Like I said
FEC
Flux energy condition
It's one of those seldomly used one
reference?
"The FEC is simply the demand that this flux 4-vector be timelike or at worst null"
$\langle T^{ab}\rangle$?
Yeah it is used mostly for semiclassical shit
13:28
what does that mean? $\langle 0|T^{ab}|0\rangle$?
or $|\Omega\rangle$?
Generally it means $\langle \Omega \vert T^{ab} \vert \Omega \rangle$
A more general notation is $\langle T^{ab} \rangle_\omega$ for a generic state $\omega$
is Visser a crackpot
Nah
He's aight
Don't worry, I know who the crackpots are in the field of weird spacetime structures
Isn't that right, ERIC DAVIES
And RONALD MALLETT
And THE GUY WHITE I DON'T REMEMBER HIS FIRST NAME
Harold?
You gotta differentiate the crackpots from the weirdly enthusiastic ones
Krasnikov is oddly enthusiastic about wormholes but he is no crackpot

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