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21:13
for some reason I get a lot more points when I ask QFT questions than GR
@Slereah lol, you asked a QFT question that appears to bash QFT. You're channeling a frustration that many have with it here
Everyone wants QFT to make sense
Yeah. Silly people, expecting the world to make sense.
I should find an actual proof that free and interacting theories aren't unitarily equivalent
I have gotten ZERO done today
21:19
"they are not required to be" isn't as strong a statement as I'd like
@0celouvskyopoulo7 So tomorrow you'll get ONE done?
Try proving a basic math thing before going to bed
@Slereah Isn't the thing about the $U$ in the interaction picture diverging basically that proof?
0
Q: Which reasons make you vote negatively a question?

Gabriel SandovalRecently I asked a question about classic mechanics, particularly, about central forces. (My question ) Why do you think that some people vote down? I appreciate your opinion and suggestions about how to ask questions.

21:22
I guess?
I mean, if there were a unitary equivalence, it would have to be the "interaction picture time evolution". If you can show that's not well-defined, that'd mean there's no unitary equivalence. Of course one would have to look at that a bit more carefully
Well I dunno, it could be a more complicated thing?
Like maybe $U = e^{itH} S$ for some operator $S$
Like maybe $\phi(x,0) = S \phi^0(x,0) S^\dagger$
I dunno
or is that also trivially wrong
@0celouvskyopoulo7 try proving that two opposite angles are equal
First theorem of Hadamard's elementary geometry
That way u will have done a thing today
What's an opposite angle?
@Slereah Well I had an exam
And am supposed to be studying for one tomorrow
but meh
so what if I fail
21:27
@Slereah How are the time evolutions gonna be the same if $S$ is not the standard interaction picture. I mean, your $S$ needs to leave all expectation values unchanged
The opposite angles are $AOB$ and $A'OB'$
@Slereah I have no idea. How does one prove it?
Lemme see
Haven't read that book in a while, I forgot the axioms
(they're the Hilbert axioms)
@0celouvskyopoulo7 okay they gave me time to do the 3 weeks of QM II homework I missed while I was sick and dying
also I lost so much weight while I was sick my pants don't fit anymore
also finals are next week so this is possible
Q____Q
Let's see, an angle is defined by two lines (or three points), two angles are equal if by some transport they can be made to coincide, so $BAC = B'A'C'$ if we can transport $A'B'$ on $AB$ and $A'C'$ on $AC$ or vice versa
Hm
The proof of the theorem is just to flip the figure which, while true, isn't a very good axiomatic proof
21:31
@GPhys dude
what is wrong wtih you
I had my QM final yesterday, I think I survived
@0celouvskyopoulo7 well, I almost died
I had pneumonia, among other things
@GPhys Well, you don't need your pants because you're not going to leave the house while doing all that stuff, so that's something ;) (tell me if you don't appreciate gallows humor)
I couldn't really stand up without passing out and couldn't think straight at worst with painful productive coughing
but don't worry, I got better just in time to do three weeks of work 5 days before finals
Let's see if Hilbert's book on geometry is better for axiomatic proofs
@Slereah are the motions $O(2)$ or $SO(2)$
+ R2
I can't into semidirect product latex
21:33
$\textrm O(2)$
so a flip is allowed
idk
screw geometry
I am pure analysis now
I mean algebra
though proving it from Hilbert's axioms would be tough
@ACuriousMind what do I do to algebra
21:35
I'm not actually an algebraist, I just like to pretend ;P
solve $x + 2 = 3$
$x=1$.
@ACuriousMind Well my only two choices are to become an algebraist or an ergodic theorist
Learn the algebra of asymptotic numbers and build QFT on them
I wonder what are the most obscure topics on PSE
Let's see if there's any geophysics questions
a bunch, even
21:47
@Slereah Our resident metrologist has a good profile text about metrology :P
Can we ask him what is the best measuring tape
not a lot of meteorology questions
I have a book of geophysics
IIRC my great uncle gave it to me
He's a crystallographer or something
v. into rocks
I was into rocks and crystals for a while. I still have a collection somewhere
You're a strange robot
two books on geophysics, even
and a big ass crystallography book
very snore
Your face is a snore
22:01
@0celouvskyopoulo7 I never claimed otherwise :)
@0celouvskyopoulo7 Stop
@ACuriousMind @dmckee He is harassing me
Quavo has his shirt on in the pool
@BernardoMeurer But the really crucial question is do you pronounce it ha-Rass or Hair-us?
@dmckee The former
Then you can't be an old fashioned southern gentleman. Which might be a good thing.
22:22
@BernardoMeurer How, exactly? (I mean I don't see why he posted that, and I don't find it particularly tasteful, but I don't see what's harassing about it)
@ACuriousMind Since when can Germans see music on YouTube?
is there a fancy name for the linear part of a quasilinear PDE?
what's a quasilinear PDE?
Mar 24 at 1:58, by ACuriousMind
@0celo7 The GEMA actually settled their beef with YouTube a few months ago, many of what was blocked is now accessible without proxies
The PDE is linear in the derivatives of the function
For a second order PDE, $$\alpha(x, f) f'' + \beta(x,f) f' + \gamma(x, f) f= \delta(x,f)$$
22:25
@ACuriousMind He knows I hate Quavo
And he keeps posting Quavo every day
And it triggers me
to see Quavo
or to think of Quavo
JUST WRITING QUAVO I GET ANGRY
FUCK QUAVO
I can't help it that Migos is releasing videos
Most gauge theories are quasilinear, I think
I...have no idea who or what Quavo is and I'm not sure I want to know.
@ACuriousMind the first rapper in the video
With the nice teeth
@ACuriousMind QUAVO IS SHIT
22:27
Language, please.
Tell him to stop posting Quavo
It really triggers me
I can't deal with Quavo
Can we please not insult people.
Be Nice applies to everyone.
Quavo isn't a person
"We restrict our exposition to first order quasilinear partial differential equations (FO-QPDE)"
@0celouvskyopoulo7 To be honest, several things in that video are pretty borderline with respect to Be Nice, so it'd be in your interest not to push that angle.
22:29
useful acronym
22:56
Hey guys, (using Copenhagen interpretation), how do we know experimentally that the time evolution of a state is deterministic (even if the measurement outcome isn't) since we can only know what state we have prepared after measuring 1000+ copies of it?
@Secret Because there's no room for ambiguity in multiplying the state with the time evolution operator.
The "experimentally" there is a bit difficult - if you assume that the evolution of the probabilities is not deterministic, then...I have trouble seeing how you get any useful theory of nature at all
@ACuriousMind What?
Another question is about state preparation. According to non cloning theorem, we cannot clone an arbitrary unknown state. Suppose in a quantum computing experiment I need to prepare a superposition of spin up and down state. Based on what we have discussed so far, repeated measurement of copies is needed to determine it is indeed the superposition state we want. But measurement always project the state into eigenstates, thus how can we know which state we are preparing before measurement told
us which state we have prepared without destroying it?
More simply, we can prepare any state if we know how to do so. But how do we know without measuring it, which is needed to know what state is being prepared?
(Sorry uf my wording is about confusing, I need to think about how to phrase it better)
@Secret We're assuming that the same "procedure" yields the same state every time. Whether that's a valid assumption depends on the specific experimental procedure you're looking at - you might get a mixed state, i.e. an ensemble of different states when iterating the procedure, not a pure state.
Ah I see, so that's why I keep seeing quantum computing people are concerned about the fidelity etc. of their algorithms
23:46
@ACuriousMind Look, you may not like the video but I don't see what's not nice about it.
I have a great idea to test Bohmian mechanics
Step 1 : take all matter in the universe, stack it to the left
Step 2 : send an electron to the right
The pilot wave will not be homogeneous in the universe and there will be a distinct change
0
Q: Unclear What You're Asking

WillOI recently posted a question closely related to (but not identical to) this one. I promise not to continue posting variants. That said: I have just voted to close this question as "unclear what you're asking", because it's entirely unclear what the OP is asking. However, in casting that vo...


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