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2:00 AM
@NeuroFuzzy yes, and the curvature has to obey the Yang-Mills equation
do you know about curvature on principal bundles?
there's a good analogy between the gauge field $A$ and the Christoffel symbols $\Gamma$
 
I don't know what the principal bundle is, no. Is it the tangent bundle or something?
 
a principal bundle is a fiber bundle where the transformation group is also the fiber
 
Egh, you know, i should focus on this general curvature stuff first
i'm getting ahead of myself
 
well GR can be formulated on the frame bundle
which is a principal bundle
I think @FenderLesPaul
I have to formalize my knowledge of bundles
 
oh good, I have to unformalize mine
 
2:04 AM
I asked a topologist and a geometer how to learn about bundles and they both recommended Hatcher -> Bott-Tu -> Steenrod
also Husemoller?
then move on to some K-theory stuff if you want spin bundles
 
Well thanks, i'll keep note of those when i'm hunting for my next book
 
if you want to get into string theory you need K theory
 
Erm, the keywords "principal bundle', "formulating GR on the frame bundle", and "electrodynamics is a classical u(1) gauge theory"
i have to drive home though.
 
although as ACM said, 95% of physicists just believe the Atiyah Singer theorem
 
I had a three hour diversity and inclusion seminar today.
 
2:07 AM
it's apparently crazy hard to prove
oh joy
do you feel all enlightened now
 
yes
 
you're now guaranteed not to oppress minorities
 
yep
that's a weight lifted
eh it was more about conflict resolution
 
someone in my political group suggested we should file for minority status
conservatives at this school are a minority
 
g2g, driving home
 
2:09 AM
cya
@FenderLesPaul do you consider QFT in curved spacetime "GR"
I don't know if I should throw them out too
 
obe
@0celo7 You're throwing out all your GR books?
 
I guess
 
obe
What...
 
I don't think I need them
I need the shelf space
 
obe
You don't like GR anymore either?
 
2:11 AM
I need to learn about crystals and these books are distracting
also I have to get rid of games
 
obe
Crystals are cool.
 
damn Germans
my Freshman research will be bombarding crystals with stupid amounts of radiation
 
@0celo7 depends on the book
 
well crystals and other crap
things I've never heard of
 
obe
'dirac crystals' lol
I baked a blueberry cake.
 
2:14 AM
Nice
how was it?
 
not learning QM
smh you're going to get rekt
you're going to get blacklisted at perimeter
I can see Dr. Sakurai problems laughing right now
"haha that little Canadian kid thinks he can do QM, haha"
blueberry cake won't help you then
 
@obe can you do this integral
 
only ~2 weeks in college
and you're already a bitter old man
 
$$\int\mathcal{D}x\,\mathrm{e}^{-\mathrm{i}\int_0^t\dot x^2/2\,\mathrm{d}t}$$
can you do it
@FenderLesPaul that is the integral I'm thinking of, right?
@FenderLesPaul it's like 3 at this point
 
2:20 AM
possibly
 
that $-\mathrm{i}$ might be wrong
 
obe
@FenderLesPaul Idk I didn't eat it.
 
I think that should be a plus
 
obe
@0celo7 :'(
 
but in any case you should be able to do it
protip: it's a path integral
 
obe
2:23 AM
are you asking me?
 
I've been tasked with a really hard acoustic song to sing
I must rise to the occasion
 
@obe can you do it
 
wants pie
 
obe
Idk can I?
 
Shankar has already done it for you if you're on chap 10 or 11
how come I know this and you don't
 
obe
2:24 AM
It's from chapter 8?
 
no cheating
 
obe
Idk how to do it.
 
sigh
the trick is not to do it
the trick it to realize it's the free particle propagator
and then calculate it like Shankar does in...chap 6?
 
obe
really.
 
well you can do the path integral
it's just a gaussian
 
obe
2:26 AM
I didn't really follow the path integral chapter.
I'll return to it later.
 
eq. (5.1.10)
 
obe
@0celo7 I need to read the appendix.
 
appendix?
what does the appendix do
 
obe
Gaussian integrals.
 
you really have to know that for QFT
@FenderLesPaul agrees, right
 
2:28 AM
Yes
very important
 
obe
What other math stuff do I need to know?
 
path integrals are just huge gaussians
uh contour integrals
 
obe
QFT I right?
They don't do path integrals in semester I.
 
yes contour integrals
 
yes you need that to calculate the Feynman propagator
dude just know Gaussians
who knows what shit will be on the tests
know something about Fourier transforms
uh @FenderLesPaul what else
 
2:34 AM
everything
 
yeah
 
obe
Ok.
 
read Twistor Geometry and Field Theory
read Riemannian Geometry and Geometric Analysis
read Topology and Analysis with Applications In Gauge Theoretic Physics
read Algebraic Topology
 
obe
Reminds me in the GR course they do... all the problems in carroll.
 
just learn some math ffs
learn about connections on associated principal bundles
learn about homology
 
2:38 AM
dude Carroll problems are seriously easy don't worry about it
 
obe
What should I be worrying about except QM?
 
Carroll problems are easy if you're smart
they're not easy for me
 
no they're just plain easy
 
you should be worrying about the state of the financial system, ISIS, etc.
 
ISIS is some scary shit
 
2:40 AM
radical feminism and the destruction of the nuclear family
 
worry about that
forget QM
 
worry about the fact that the welfare state has done nothing but enslave future generations
you know, generally good things to worry about
 
obe
Boring.
The only important thing in the world is physics.
 
physics is actually pretty useless
it really does not matter if Hawking is right, wrong or bites the dust
 
I met a guy once who said physics was his girlfriend
that's when you know shit is really bad
 
2:43 AM
I met a guy once who loves GR
he is homeless now
 
obe
What about a guy who loves QFT?
 
he got a job flipping burgers
meanwhile his engineer friend has a good job
the string theorist got shot out of pity
 
obe
Is it possible to get a phd in theoretical physics and then have a job doing something else but do research at the same time?
 
no
lol
 
2:47 AM
what
how would that be possible
it is possible to get a PhD in applied physics and read on the side and make money
and still be able to mentor Canadian children through the world of quantum fuckery
 
obe
I wanted to be a airplane control tower operator and do physics research as well.
Is that possible?
 
uh no
when do you research
how are you going to manage 12 hour days and still research
 
obe
part time?
 
what
no one hires tech people part time
 
obe
dammit my dreams are gone.
 
2:51 AM
if you get a PhD in theoretical physics, you're either going to do academics or engineering
and your salary will be lower than a PhD engineer either way
 
obe
Idc about that.
 
PhDs from my department make an average of $90,000 their first year
 
obe
Idc how much money I make.
 
lol
 
obe
I want to look at airplanes and do research.
 
2:52 AM
get a load of this guy
 
get a load from this guy
 
obe
@FenderLesPaul Is there no hope for that?
 
no hope dude
sorry to say
 
well he won't have student loans
so he's not as fucked as, say, a Cornell GR student who doesn't have a full ride
 
my parents got me covered bro
s'all good
 
2:55 AM
but what if he's not a good professor
and can't get a good job professoring
then what will he do
@FenderLesPaul you rich
don't you have like $250,000 in debt
 
nah
it's like $10 grand a year for me after scholarships and grants
 
dude I gotta play a game tonight
 
im ordering insomnia cookies
 
@FenderLesPaul stream
 
its been ages
ok
 
2:57 AM
what will it be
SKYPE CALL
@StanShunpike wanna Skype call
@obe bye
 
obe
D:
 
two minutes to live @obe
 
I can't Skype because I need to practice guitar and don't wanna clog the call with guitar noises
 
any last words
 
but I can watch
 
2:58 AM
@FenderLesPaul I saw this in the music SE music.stackexchange.com/questions/30457/… I dunno if you're interested.
I can't lol. I'm working. Writing my book on music theory.
 
obe
@0celo7 Did you deliberately decide to skype at 11?
 
@StanShunpike looks interesting thanks
I've been doing these yoga breathing techniques lately and they've really helped me with hitting high tenor notes in full voice
who would've thought yoga techniques would be useful
 
@obe Yes
 
lemme know when you stream breh
bruh
broseph
broski
 
@FenderLesPaul skype and convince me not to stop learning GR
 
3:05 AM
I can't Skype tonight I gotta practice :(
 
you can't talk and play
 
no because I have to sing
lol
 
sing about GR then
I'm gonna try streaming BF4
 
lol
I heard there was a secret chord
that Einstein played and it pleased the lord
but you don't really care for geometry do yaaa
 
can I make money with geometry
real math is an operator on the space of money that raises GDP
 
3:09 AM
yes
 
lemme know if this works
streaming
 
just a black screen
 
Still
 
it says untitled broadcast
this one right?
 
Revolver 0celo7
 
3:17 AM
ok got it
 
You can watch me suck at PC fps
 
wtf why won't it play
 
@FenderLesPaul Nawh. Girlfriends (well, romantic interests of the apposite sex) keep you from doing as much physics as you would otherwise have accomplished.
 
@0celo7 I'm pressing the play button but nothing is happening
@dmckee haha true
 
@obe It's not actually impossible, but it takes a pretty special kind of person to make it work.
And probably a lack of the aforementioned romantic interest.
 
3:21 AM
@0celo7 is it different on a mac?
 
3:32 AM
it's streaming for me
so IDK what's up with your PC @FenderLesPaul
 
idk it didn't do this on my old laptop
 
Well I got pissed off by metro
I'm done
 
Given the recent claims Hawking has made about one of our problems with black holes, I've been thinking about conservation of information and reversibility. Specifically, if there are any truly irreversible processes that go on in the universe.
Put simply: If I was laplace's demon, would I be able to reverse-engineer the universe all the way back to the big bang with complete certainty, or are there some processes where the final state of a system could have come about from two/more different states? Matter-antimatter annhilation comes to mind…
 
3:54 AM
@AndrewG Something I've heard is that in quantum mechanics the past is stochastic in the same way the future is.
 
@NeuroFuzzy Interesting. Sounds many-worldsy.
 
@AndrewG It sort of is. I'm thinking from a Schrodinger's equation POV here; if you knew "the" wavefunction of the universe, which only someone sitting outside of the universe having prepared its initial state and having not observed it since [but calculating its future state exactly through Schrodinger's equation]; then you could derive the initial state of the universe
 
...but not if I was given the entire state of the universe sometime after it's creation, and asked to derive the initial state.
 
Yeah, then it would just be probabilistic, I believe.
but 1. the world doesn't follow Schrodinger's equation, and 2. observing a quantum system while sitting inside a quantum system is zany (or if you're boring 'subtle' :) )
 
Why wouldn't the world follow the Schrodinger Equation? If I was given the current state of the universe (exact location and velocity of every particle), could I not extrapolate the future state of the universe with certainty?
 
4:02 AM
@AndrewG oh I just mean that, like...
 
(Given infinite computational power.)
 
the world isn't classical, it's quantum. But it's not "schrodinger quantum" because that violates SR
and it's better to say it's "QFT quantum" because that satisfies SR, but that can't be quite right either (I think it suffices though)
That was just a disclaimer that
I'm only familiar with schrodinger quantum and can only talk about things to that approximation!
So that all my sentences are prefaced with an implicit "in a schrodinger universe [...]"
 
States still evolve under the Schrodinger equation in QFT
 
@NeuroFuzzy Ahh, understood.
 
@FenderLesPaul $\hat{H} |\psi \rangle=i \hbar \frac{d}{dt} |\psi \rangle$?
 
4:06 AM
yes
 
@AndrewG well, if spacetime has a cauchy horizon, GR tells us that knowing everything in the universe at one "instant" doe not enable us to determine everything that ever was and everything that ever will be
 
@FenderLesPaul waaaaaat. Where's the catch though?
 
There's no catch
The schrodinger equation is literally just the statement that the Hamiltonian generates time translation
this is the same in both QM and QFT
so states in QFT also evolve under the Schrodinger equation
don't confuse fields with states of fields
fields propagate according to various relativistic field equations like Klein-Gordon or Maxwell
but the states of these fields still evolve under Schrodinger
 
what about the state $\hat\phi|\phi\rangle=\phi|\phi\rangle$
 
@FenderLesPaul so for Dirac/whatever other weird things, you just have a specific space $\psi$ lives in and a specific $\hat{H}$?
Oh boy. Yknow, I'll get there eventually. I'm going to eat and sleep.
 
4:17 AM
night
fuck these cookies are too sugary
 
my sister in law made me some awesome chocolate chip cookies
and I have to sleep now, night
 
4:54 AM
I read this

https://en.wikipedia.org/wiki/Principle_of_least_action

After reading the following (which is related to my honours)

http://scitation.aip.org/content/aip/journal/jcp/126/16/10.1063/1.2720838

specifically equation (4). I cannot help but have this possibly screwy picture in mind:

That there's a curve (which its length is the action) in configuration space which is like a higher dimensional version of a hilly landscape, the curve slides until it reached a valley thus it cannot change its shape anymore (since it is stuck). Then it is easy to see that the action is relatively un
 
5:07 AM
objects that are free falling follows geodesics, which is like a generalisation of straight lines on manifolds (which in the case of GR, it is the spacetime manifold),

The previous post's interpretation of mine cause me tempted to think that the trajectory in phase space of which its length is action, then the principle of least action is the same as saying to find a geodesic in phase space?

I remember that phase space is a symplectic space, but is it also a symplectic manifold?
$$\delta \int_{t_1}^{t_2}L(\mathbf{q},\dot{q},t)dt=0$$
$$\dot{\phi}=0=-\nabla V(\phi)^{\perp}-\lambda \hat{\tau}$$
$$\ddot{x}^{\lambda}+\Gamma^{\lambda}_{\mu \nu}\dot{x}^{\mu}\dot{x}^{\nu}=0$$

They seemed to based on the same principle: To minimise the arc length of a curve??
typo: They seemed= the 3 equations seemed
 
@ChrisWhite Thanks Chris. I think I'll delete my answer. I've obviously misunderstood what was being asked.
 
5:24 AM
Is there any significant meaning when the classical lagrangian vanishes, other than it means the total kinetic energy has the same value as its total potential energy?

If I have a lagrangian that vanishes for all times, then the action of that system in question will be zero, what will that mean?
classic because I still yet to wrap my head around the relativistic version
*for all times in an interval [t1,t2]
*action of that system between t1 and t2
 
 
1 hour later…
6:29 AM
For certain physics problem you find t, which stands for time. In this example, $100 = 30*x-(1/2)*(-3.8)*x^2$. When you try to solve x in that problem, you get either -18.6166, or 2.282713. Since we are trying to find time, and since time cannot be negative, we only use 2.28 seconds. But that -18.6 can't be there for no reason at all. Is there any physics reason why there is -18.6?
 
7:05 AM
@PhonicsTheHedgehog The -18.6 is a consequence of solving the maths equation (which does not know that t > 0 if you don't explicitly state that as a constraint to the equation to be solved)

If one insists on giving a physical meaning, then for the case where x in the above equation represents time, it means whatever phenomenon that the above equation is describing, it occurs 2.28 seconds later and -18.6 seconds ago

then you gave the physical meaning to the - sign in your answer. However it is not always interesting to consider what happens in the past of some given phenomenon since most p
 
 
2 hours later…
8:38 AM
@Secret : Try to cut up your posts a bit btw
I often have to click on "see full text" on your posts
 
9:20 AM
I think there already is a text limit built in...
 
 
3 hours later…
12:12 PM
Ugh
The fusion doesn't power the car in back to the future
That's the whole point of the third movie
 
12:30 PM
https://www.youtube.com/watch?v=VylZJrep1MM
I wonder what happens when the top slows to a stop, will it just drop down since the magnetic filed there is basically constant and uniform?
 
@Secret I think so
 
@0celo7 who's your fav NFL team?
 
probably Redskins but that's embarrassing to say in public
 
hmmm...
 
@0celo7 : just try to imagine what happens when you make the torus fatter and fatter.
 
12:38 PM
@JohnDuffield It will never become a sphere.
This is a topological fact.
 
check your thin privilege
 
wtf fuck off SJW
there's enough at my school
which is crazy btw
the student body is crazy diverse opinion-wise
 
wow patriarchy
 
there are anarchists and full on communists in my dorm
btw I'm not even thin
 
real commies?
 
12:43 PM
...isn't a "crazy diverse opinion-wise" student body normal?
 
it's not what I expected from an old southern school
 
Ah, ok
 
@0celo7 : the electron is a 511keV electromagnetic wave in a Dirac's belt configuration. See this water-wave gif and try to imagine what you'd have if the wave was going round and round.
 
user image
2
 
12:46 PM
:D
 
@0celo7 : it isn't a sphere. It's a torus that's so fat it looks like a sphere.
 
I think tori die of clogged arteria before they can get so fat.
 
@JohnDuffield Does anyone in a professional journal support this claim?
@JohnDuffield Lol what does that even mean?
@ACuriousMind They're hardy American tori. They can take it.
@JohnDuffield Hmm, how does QED work in this picture?
What's the Lagrangian?
 
@0celo7 I thought the "American torus" is merely a donut :P
2
 
Haha
 
12:49 PM
@0celo7 The guy who wrote this.
 
Could you link the paper he wrote on the topic
 
...
Please.
 
And point the page where the claim is made
 
Wait, do you mean the equation or the Wiki article?
 
(peer reviewed paper)
 
12:51 PM
I thought the electron was the fermionic excitation of a string...
So is the string in a Dirac belt configuration?
@ACuriousMind Remind me, are the superstring fermions excitations of the open or closed string?
Also are there clopen strings.
 
Open I suppose
From what I recall closed strings behave like gravitons
 
@0celo7 How could it? The "Dirac belt configuration" would be merely one worldsheet topology over which is summed.
 
SUSY analogs are gravitinos, which are... spin 1.5?
 
@0celo7 Uhhhhhhhhhhhhhhhhhhhhhhhhh...dunno :/
 
@ACuriousMind Damn your poor sarcasm meter...
@Slereah Also dilaton and Kalb-Ramond.
Although I have no clue what the Kalb-Ramon actually does.
 
12:54 PM
Aren't dilatons spin 0
 
@0celo7 It's still being repaired. They have to imports some rare parts.
 
Dilaton has something to do with the...vacuum?
 
Oh wait
 
@Slereah Yes.
 
Are strings like
Spin 0 + spin 2 thing
 
12:55 PM
Kalb-Ramond is a 2-gauge field, iirc
It belongs...to 3-branes, I think, but that could be wrong
 
I vaguely recall that you could have both modes, maybe?
 
Uh you have the massless multiplet that splits into Kalb-Ramond, dilaton and graviton.
 
Or maybe 6-branes
 
lol
Did Weigand even talk about that?
I haven't touched string theory since the summer began.
 
@Slereah : see The Quantum Theory of the electron. He doesn't spell it out, but he makes it clear the electron has a wave nature, and this wave is not propagating linearly at c. Doubtless somebody will now announce that the electron is a point particle.
 
12:56 PM
No, it's a string.
@JohnDuffield Wave nature does not imply it is literally a wave.
@ACuriousMind Someone needs some Heisenberg formalism.
 
@0celo7 : it works the way it works, but now we know why it works. Because the electron field is just a reconfiguration of the photon field, and the messenger particles are more fundamental than the field they're supposed to mediate.
 
@0celo7 Yes, at least we did in the course, briefly. Hmm, now I think it was 5-branes: 2-gauge field -> 3-curvature, canonical kinetic term is a 6-form, which is naturally integrated over a 6d worldvolume
 
Decide already :P
 
That was one part I found actually interesting because it was not perturbative
 
Are you sure?
 
12:59 PM
@0celo7 : no, electron diffraction implies it literally is a wave.
2
 
@0celo7 That I found it interesting? Yes. :D
 
What does it mean that it was not perturbative
 
>He doesn't spell it out
 
I know what "not perturbative" means
But in this case I don't know what you mean
brb LA
 

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