The h Bar

12:00 AM

I think the Higgs does not exist because it cannot be described by high school mathematics, nor do fields because they involve multivariable functions, which are too complex...

The world is a quadratic polynomial basically

0celo7

Haha

I guess it really depends on his definition of "high school mathematics"

Danu

@dmckee I do think a lot of my peers are too "weak" in terms of non-physics skills for sure. It's one of the few reasons I don't regret doing a liberal arts and sciences-inspired degree (which is a really new thing where I'm from)

user54412

I'm always saddened when I try to strike up general conversations with grad students, only to find they don't have much of an education outside their major.

bolbteppa

Imagine being called a babbler by Copernicus lol

I picked up Freud's Civilization and it's Discontents, and 33 studies in psychology today, so I try to get outside of math and physics as much as possible cool smiley face

dmckee

@ChrisWhite This. Thankfully, we have a couple of majors right now who do have significant interests outside of the building. It's refreshing.

bolbteppa

12:10 AM

omg, in Duff's quote he says "every few days I receive an email … promoting their own theories of everything" then later in the article the guy encourages all the readers to e-mail John Baez, now Duff knows why he gets his e-mails, The illogical logic of e-mailing these dudes is right there in black and white basically...

Danu

@dmckee I really wish the faculty cared a bit more at my university

Anyways, I think it's time for me to leave the kitchen and retreat to my good ol' bed

It's been over a month since I slept in it! :D

Time for a good night's rest :)

It's been nice to talk to you @dmckee! Hope you have time to hang around some more

dmckee

12:34 AM

Legend has it that there used to be a class at CalTech that involved attending social functions with the professors and interacting with members of the public on topics other than science and engineering.

I'd sorely like to introduce it here, but so far I've settled for urging the students to attend the function of that kind put on by the campus activity board.

bolbteppa

12:46 AM

I got a response, omg science20.com/alpha_meme/…

0celo7

@bolbteppa Apparently he has a PhD.

bolbteppa

I know, shocking, I cannot believe someone who has studied general relativity could respond telling me to learn how to read...

0celo7

@bolbteppa I want to comment, is an email neccesary to do so?

I'm not sure I want to put a real one.

I need a throwaway email.

bolbteppa

I could have entered anything tbh, I'm sure a fake one will work

"you are actually a good example for somebody who is so afraid and under tension while reading anything that could be just potentially scratching at your held beliefs" his call for me to stick with high school level mathematics really had my belief in the calculus of variations under tension :(

0celo7

1:09 AM

@bolbteppa "You say that all "advanced insights" can be understood using high school mathematics. This makes me wonder three things: 1) Please define "high school mathematics", 2) please define "advanced insights" and 3) please define "understand". "

bolbteppa

Yeah

Can you even write Einstein's field equations with high school mathematics, even after Harvard's Math 55 en.wikipedia.org/wiki/Math_55 I don't think one would be able to

0celo7

@bolbteppa No, linear algebra is not high school.

The notion of tensors requires an understanding of linear algebra.

bolbteppa

I think Apostol's 2 volume calculus books are the most advanced "high school" thing you could grant someone trying to generalize about many high schools, and they wont get you there...

0celo7

1:29 AM

@bolbteppa Let's come up with some insights we think are advanced but use more than high school mathematics

I'm writing a comment about that sentence

I have principle of least action

bolbteppa

Newton's laws, I mean that involves second order ode's already

0celo7

Singularity theorems of GR

@bolbteppa That's too borderline.

A good high school physics teacher will teach that.

bolbteppa

Yeah, how about Maxwell's equations?

0celo7

I'll just call that "Maxwellian electromagnetism"

Although, AP Physics C E&M covers them

Schroedinger equation

bolbteppa

Noether's theorem

Action for the bosonic string

What a fermion is

What a spinor is

0celo7

1:33 AM

Or just spin-statistics theorem

bolbteppa

Path integral

0celo7

Fuck, even spin itself

dmckee

@0celo7 We had matricies and their multiplication and determinants on a monkey-see basis, and more interestingly Gaussian elimination. But it was applied to systems of algebraic equations. Nothing actually important is done with it, though it make cross-products easier when they show up...

0celo7

@dmckee Yes, high school in the 60s (kidding) was more intensive than today

bolbteppa

There is a French linear algebra high school book by Dieudonne that defines determinants in terms of homotheties in multilinear forms, but that's an outlier

0celo7

1:37 AM

@bolbteppa Well I could write a differential geometry book for high schoolers, doesn't make it a high school topic

@bolbteppa Principle of least action
Singularity theorems of GR
Schroedinger equation
Spin-statistics theorem
Noether's theorem
Kallen-Lehmann representation
Penrose process
Wigner's classification
Eightfold way
Black hole thermodynamics

bolbteppa

"this was partially my motivation, to write an article that people can point to in order to defend against dismissal by math fetishists" he'll accuse you of being 'one of them' with that list lol

0celo7

I don't want really vague things like "gauge theory" or "inflation"

bolbteppa

I mean, "math fetishist", unbelievable

It's like saying "English fetishist"

Gauge theory is a good one though

abt

hey

0celo7 I did not even recognize you.

must be the new image.

0celo7

I'll add
Beta decay
Higgs mechanism
Mercury perihelion shift
Birkhoff's theorem

abt

1:44 AM

what is this list about?

0celo7

@abt science20.com/alpha_meme/…

@bolbteppa Done.

@bolbteppa Shit, I can't edit?

abt

why are you making a list?

it won't get anywhere, unless you want to write out every topic in physics.

0celo7

@abt Did you read my comment?

bolbteppa

AP differential topology and geometry is a concept I've never considered before lol

0celo7

@abt I've decided to make my avatar the last really good album I listened to a bunch.

abt

1:49 AM

@bolbteppa no, such a thing cannot happen

as far as I know, high school kids are too dumb.

@0celo7 yes I read your comment, though I don't know why this is even a topic of discussion.

there is a limit to how much can be taught in high school, because you must consider that in order to teach advanced topics, you need better teachers.

0celo7

@abt I think you need to read the blog post to understand our frustration.

abt

i probably should.

bolbteppa

@abt the guy in that article is claiming we don't need anything more than high school mathematics to come up with the next paradigm shift

Also science is like religion

lol

abt

let me read it first.

bolbteppa

I think if I respond again he'll remove my response, I want to keep Copernicus' quote there at all costs

abt

2:06 AM

all i can say is that people these days are really misinterpreting that quote by einstein "if you can't explain it simply enough... "

I'm bored I think I will make a response on the site.

NeuroFuzzy

10 crackpot points for every overanalysis of an article on crackpots

DanielSank

@Danu That conference already happened.

NeuroFuzzy

What's wrong with being a math fetishist?!

DanielSank

@DavidZ Oh. Makes sense.

abt

"not even wrong"

bolbteppa

2:20 AM

I am swimming in overanalysis points right now

NeuroFuzzy

That copernicus quote!!!

bolbteppa

It's such a takedown of his whole article lol

0celo7

@abt Please realize there is a difference between a lack of intelligence and a lack of motivation/interest.

abt

@0celo7 are you saying otherwise then?

0celo7

@abt I know people who are likely more intelligent than I am, but they have no interest in high physics and mathematics.

abt

2:27 AM

of course there is exceptional talent, and lots of it, though it is outnumbered by the rest.

in this context I am referring to exactly those topics.

0celo7

@abt So you'd call Harvard lawyers "dumb" because they don't know what a metric tensor is? C'mon.

abt

heh

no, you are misinterpreting my comments. this isn't a discussion about intelligence.

0celo7

"dumb"

What does that mean besides, well, dumb?

abt

I agree.

bad word choice.

bolbteppa

"I’ve had the chance in the world of mathematics that bid me welcome, to meet quite a number of people, both among my “elders” and among young people in my general age group who were more brilliant, much more ‘gifted’ than I was. I admired the facility with which they picked up, as if at play, new ideas, juggling them as if familiar with them from the cradle–while for myself I felt clumsy, even oafish, wandering painfully up an arduous track, like a dumb ox faced with an amorphous mountain of things I had to learn (so I was assured) things I felt incapable of understanding the essentials or…

abt

2:35 AM

relevant question: physics.stackexchange.com/questions/27665/the-role-of-rigor

Rajesh D

6:40 AM

My take on QM : If you can explain quantization without resorting to probability, then that would be ultimate!

Danu

7:32 AM

@bolbteppa It's something about Grothendieck that makes even his bragging majestic and profound

ACuriousMind

10:34 AM

@Danu No, you didn't tell us thus far ;)

Danu

10:53 AM

@ACuriousMind Well, now ya know

I used to do it once or twice a week, but now that I moved to Germany I left my partner behind in Amsterdam and honestly don't wanna go through the ordeal of finding a new one :\

ACuriousMind

11:15 AM

@Danu Is it that hard to find someone to dance with? :P

Danu

Have you tried ballroom dancing?

It's very rigid, heh.

ACuriousMind

@Danu As you can probably tell, no, I've not tried ballroom dancing :D

Danu

In particular, I've found it impossible to dance at a reasonable level with someone who hasn't gone to the same dancing classes/school as me :P

The moves one typically makes are on the order of 20 counts in length, so very complicated stuff.

"But if you think deeply you will come to know that probability does not even exist . It is just we put probability when we do know the reason or physics laws." - user14239 knows it all

ACuriousMind

@Danu I think they are missing a not in that sentence

Because what's written there makes even less sense than what I first thought was written there

Danu

True, true

Nice answer on the wave equation thing

Relating it to some kind of isotropy feels kind of deep to me :P

ACuriousMind

11:23 AM

I'm always happy when someone asks for intuition and I actually have one :D

Danu

I have also been reading about centers of quadrics in Vinberg's book, and he develops the entire theory purely based on this kind of stuff

and ends up classifying all quadric curves and surfaces

ACuriousMind

I've had so many algebra courses and I've never encountered the term quadric. I think we're gonna do that this semester

Danu

@ACuriousMind So ahead of you right now

I really recommend Vinberg's book: It's in Russian style i.e. lots of physics and geometry!

And it's also not too hard

ACuriousMind

Ah, that sounds like "classical" algebraic geometry^^

Danu

@KyleKanos Examples are very easily found on math.se

ACuriousMind

11:28 AM

I'm living in the world of sheaves and spectra, I don't even know what these surfaces you speak of are ;)

Danu

@ACuriousMind Sure it is. It's with actual pictures, so a lot of $n=2,3$ stuff

but you really should, even if just for the sake of physics

I mean... light cones, de Sitter space embedded in Minkowski etc

All just applications of this

ACuriousMind

Yeeees, I am vaguely aware of that.

Danu

I honestly didn't get all of it yet but I may go back to it again later

For now, I think it's just important to have read everything semi-superficially at least once so I know what people are talking about when I encounter it in lectures

abt

1:42 PM

@ACuriousMind Do you know H. Dieter Zeh?

ACuriousMind

@abt I have no idea who that is

abt

H. Dieter Zeh

Heinz-Dieter Zeh (usually referred to as H. Dieter Zeh) (born 8 May 1932 in Braunschweig, Germany) is a professor emeritus of the University of Heidelberg and theoretical physicist. He is one of the developers of the many-minds interpretation of quantum mechanics and the discoverer of decoherence, first described in his seminal 1970 paper. == Bibliography == The Problem Of Conscious Observation In Quantum Mechanical Description (June, 2000). The Physical Basis of the Direction of Time, 2001, ISBN 3-540-42081-9 Decoherence and the Appearance of a Classical World in Quantum Theory, 2003, ISBN 3-540...

ACuriousMind

He probably retired before I started here - I've not heard of him.

Physics Meta

3:06 PM

0

Q: Bug Fix: the tabs in the Physics forum appear cluttered

I am not sure whether it's a bug or not. But if you hover over the menu below banner labelled 'Physics', the background changes to light blue, however, that background comes behind the written texts on the page. This kind of makes the design look a bit untidy. Shouldn't the rest of the page be l...

The Dark Side

3:52 PM

@Jimnosperm - Edited. Thanks :)

The Dark Side

4:15 PM

On a sidetrack - Who on earth upvoted this?

Are the deleted bunch back, to eventually cost us more user removed points?

ACuriousMind

@TheDarkSide There have always been people upvoting crap.

The Dark Side

@ACuriousMind - You are obviously not bothered with my second sentence! Last time it got you a +30! (which is of course infinitesimal relative to 20k!)

Jimnosperm

@TheDarkSide Certain users have expressed that they prefer to upvote any and all first posts in order to outweigh downvotes on new users

ACuriousMind

@TheDarkSide Ha, so I should fear the return of the sock puppets even more because they threaten me with soul-crushing downvotes!

The Dark Side

@Jimnosperm - Oh. Compensatory upvotes!

Jimnosperm

4:23 PM

@TheDarkSide Yes. We expressed how much that is frowned upon, but in the end, it is their vote to use as they wish

The Dark Side

@ACuriousMind - that's my point indeed. +30 in 20k won't matter, but -40 in all of 1695 is soul crushing.

@Jimnosperm Indeed.

ACuriousMind

Uh, @Qmechanic, are you sure duplicate was the right choice here?

Jimnosperm

4:43 PM

@ACuriousMind I agree with you. There's no way that's a duplicate of anything. It's just... Wow

He must have taken Einstein's "Imagination is more important than knowledge" a little too seriously

Qmechanic

5:12 PM

@ACuriousMind : Yeah, you are right, it's not a dup. It more like non-mainstream or unclear what you are asking. It was meant to be a helpful pointer to the next post that OP should read if he wants to understand mainstream physics, in this case: Spec. Rel.

ACuriousMind

5:32 PM

Please show what you have tried so far, and we will gladly help you out. — Steeven 56 secs ago

...we will?

Jimnosperm

That might have been the royal "we"

Jimnosperm

6:28 PM

Is this too off-topic? To me it's a grey zone. I could answer it, but I want to check and see if it'd be feeding the bears to do so

ACuriousMind

@Jimnosperm I'd say it's off-topic.

Jimnosperm

Okay then

abt

6:52 PM

@0celo7 any resources for those topics, particularly qed?

0celo7

@abt I read some sections in Srednicki for various topics, really liked it.

I tried learning QFT from Zee and Weinberg and as @ACuriousMind can attest to, this left some holes.

i.e. don't start with those.

abt

about that... what should i start with?

the one you mentioned just now?

0celo7

@abt How about you read Shankar first.

abt

in process

0celo7

You'll need another book after Shankar before thinking about QFT.

abt

6:55 PM

like sakurai?

0celo7

@abt Something for special relativity, although another QM book wouldn't hurt.

@abt Like I said, Zee is very good for an introduction to SR.

zee is not enough?

For what?

sr

Zee is enough for SR, yes.

I'm not sure if one book is good enough for QM though.

abt

6:57 PM

whatever i won't study it solely by books, i'll just read everything i can find.

0celo7

I learned QM with Shankar, so that's why I recommend it. I haven't read the parts of Sakurai that would distinguish it pedagogically from Shankar.

abt

wait then what did you read after shankar?

0celo7

Probably Zee's QFT.

Which I don't recommend.

abt

are you saying that you would have been better off today had you not done that

0celo7

Probably.

ACuriousMind

7:00 PM

@0celo7 Aw, c'mon, wasn't there some fun handwaving you learned from Zee? (or am I remembering that totally wrong)

abt

ok fair enough

0celo7

@ACuriousMind That was in his gravity book.

@ACuriousMind But yes, somehow he showed that if you want to measure a planck length, you need a measuring device denser than a black hole or violate special relativity.

abt

also one more thing, about the mathematics texts, should i read them completely in parallel to physics or just learn what i need from various sources?

i.e. should i read a full text on pde's? etc

0celo7

@abt You don't need to know much about PDEs at all.

abt

can you give me a list of general topics that i must know beyond what i already have?

I thought pde's were very important, enough to study them alone.

0celo7

7:05 PM

@ACuriousMind How much do you need to know about PDEs?

ACuriousMind

@0celo7 I, uh, know the solutions to the most popular ones. That's it

0celo7

@abt See?

No need reading a full text on the subject, and certainly don't read a PDE text for mathematicians.

abt

ok.

0celo7

No good questions right now.

Time is rep, and I'm losing time.

abt

most universities are having exams right now i think.

perhaps that is why

Jimnosperm

7:16 PM

0

A: Is it correct to say "like poles attract, unlike poles repel" while two magnets are placed such that one is inside another?

Blah blah and blah Blah blah blah blah

^ Someone upvoted it.....

Phys Wars Episode 6: Return of the Sockpuppets

ACuriousMind

Okay, that's not even misguidedly upvoting new users to cushion them, that's just trolling with votes.

Jimnosperm

Makes you wonder who other than sockpuppets would have upvoted it

0celo7

I'll tackle another question trying to decipher Dirac's book.

This thing lacks any semblance of coherence.

ACuriousMind

It's always fun to remember that it wastes more of your time to create this than our time to remove it. — Jimnosperm 8 mins ago

Sadly, I'm not even sure that's true

Jimnosperm

Took me 2 seconds to flag it. I'm pretty sure it took him more time to sign up and write it down

Or do you mean it may not be fun to remember that?

If so, then you could be right

Stan Shunpike

7:25 PM

@0celo7 what book are you reading?

0celo7

@StanShunpike "Reading" is the wrong word. More like translating.

abt

sadly blah almost has as much rep as me. heh

0celo7

I'm looking up random unanswered questions in my quest for 3000.

Jimnosperm

@ACuriousMind it now has 2 upvotes

abt

wait then that means he has more rep than me now.

Jimnosperm

7:28 PM

The post will be deleted and that rep will be lost to him, no worries about that. But I'm surprised that we have such organization of trolls all of a sudden

0celo7

::scratches head:: No wonder this question is unanswered.

This is gibberish.

How can something be one number and multiple numbers at once?

ACuriousMind

@Jimnosperm There's definitely something weird going on.

abt

the electromagnetism one?

ACuriousMind

@0celo7 What?

0celo7

@ACuriousMind I'm trying to read a section in Dirac's book to answer a question on here.

The terminology is archaic as heck.

ACuriousMind

7:31 PM

Ah...yeah, I always get confused by excepts from Dirac's book. I think the "language barrier" is amazingly high there.

abt

do you mean his qm book?

0celo7

@abt Yes, never read it.

This is really simply linear algebra, but I have no idea what he's trying to convey.

At a first glance, I think he's trying to justify multiplying an inner product by a c-number.

ACuriousMind

@Jimnosperm: The blah question has an unusual number of deleted gibberish in it. It's weird. (And I protected it now)

Jimnosperm

@Qmechanic I flagged it as LQ, but now I wish I'd used a mod flag. This answer is showing some organized trolling. I really don't know what you might do about it, but ensuring mod awareness feels like the right thing to do

@ACuriousMind Good call

Qmechanic

@Jimnosperm : OK, eliminated.

2

abt

7:38 PM

r.i.p. blah

0celo7

@ACuriousMind Hah, I just had a lightbulb go on, but I wasn't actually enlightened.

ACuriousMind

@0celo7 How'd that happen? Did you power it with dark energy by accident? :D

Jimnosperm

@abt Technically the user profile still exists, but at least now you don't have to worry that someone had higher rep than you simply by writing "blah" 6 times

ACuriousMind

What does "unregistered" in the user profile mean, btw?

0celo7

@ACuriousMind My inner crackpot says that since E=m, dark energy = dark matter.

ACuriousMind

7:42 PM

@0celo7 I'm quite sure I've already seen that reasoning around here. Beautiful.

Jimnosperm

@ACuriousMind Not sure. You need an email address to get the default profile pic. Perhaps no email confirmation?

0celo7

@ACuriousMind I want to say "none" because $S^7$ isn't a group, right?

Jimnosperm

44

Q: What does it mean when someone's an Unregistered User?

I looked at someone's profile and it said Unregistered User. What does that mean?

support unregistered-users

0celo7

@ACuriousMind Just saw that comment.

ACuriousMind

@0celo7 lol

Great minds thinik alike ;)

0celo7

7:45 PM

Yeah I thinik all the time :D

ACuriousMind

Argh^^

@Jimnosperm And, uh, why do we allow such users?

It seems to just make trolling easier

0celo7

@ACuriousMind Dat comment speed

ACuriousMind

@0celo7 I just commented :P

Jimnosperm

@ACuriousMind Frankly I'm still confused about how a new user could sign up as such. But in terms of making trolling easier, remember that they can answer as anonymous, so even being an unregistered user is more work than necessary for trolls

0celo7

@ACuriousMind I was looking for something not along the lines of "why should it"

But perhaps there is no such answer.

ACuriousMind

7:50 PM

@0celo7 I guess you could say "non-zero angular momentum in a certain direction breaks full spherical symmetry (in terms of the orbital having to look the same in all directions)"

lol, OP responds to "Why should they?" with "Why not"

I thought my orbit example was clever. Apparently not.

@0celo7: You could always go edit some tag wikis to get the remaining 105 rep. Only 53 tags to do ;)

Jimnosperm

46

Q: "Post as guest" is a bad user experience and encourages low quality contributions. Get rid of it

Since its inception Stack Exchange has tried to make it as easy as possible to ask a question, most of the time. This was done by implementing the concept of an "unregistered" user, identified only by a cookie, who otherwise does not have to log in to a Stack Exchange site. The unregistered user...

feature-request low-quality-posts usability unregistered-users user-experience

ACuriousMind

Or half that if you edit both wiki and excerpt.

0celo7

@ACuriousMind Now I'm engrossed in this Dirac BS.

@ACuriousMind Huh?

ACuriousMind

@0celo7 You get +2 for each approved edit, and wiki and excerpt count a seperate edits.

0celo7

excerpt?

Oh the thing on the tag?

ACuriousMind

7:57 PM

Yep

Heh

0celo7

@Jimnosperm Heh

Gud 1

ACuriousMind

...why don't people ever read the homework policy when I link it, but instead start complaining that "it's not real homework"...

Jimnosperm

@ACuriousMind Complaining is easier, feels better, and allows them to be in the right from their point of view. Humans tend to abandon what is rational when presented with even one of those three things. Give them a chance to have all three and your average human will do and believe just about anything to get it

0celo7

8:21 PM

@ACuriousMind Under what circumstances should I consider editing tags?

Like can I fix spelling and grammar (and \mathrm ;D)

ACuriousMind

@0celo7 Well, whenever you think you can imporve it (even if it's just spelling/grammar

Also consider adding "Use this tag for..." if there's no such guidance yet in the excerpt.

0celo7

Before I start rep whoring, I have a technical question for you.

uh, technical difficulties

I don't understand the part "this shows"

ACuriousMind

@0celo7 What does $()^\#$ mean here? If it's the musical isomorphism, what is the metric?

0celo7

@ACuriousMind $\sharp :\mathfrak{g}\rightarrow \mathrm{Vert}_uP$

ACuriousMind

Ah

0celo7

8:32 PM

This lemma is used to derive the general form of the gauge trafo.

ACuriousMind

@0celo7 I'm unfamiliar with this level of detail :P I don't see what's happening there

0celo7

@ACuriousMind b-but

You're my only hope!

0celo7

9:06 PM

@ACuriousMind Who on Phys.SE would know?

ACuriousMind

@0celo7 Thinking a bit about that statement, it seems to me to be nothing else than $\mathrm{d}t_{ij}(X)$ at $\sigma_i(p)$ is $\mathrm{d}t_{ij}(X)$ at $\sigma_j(p)t_{ij}^{-1}$. I'm not sure why there's a proof for that :P

0celo7

@ACuriousMind Where does $\sharp$ come from?

I understand the equation just fine.

If you didn't figure it out, here $\mathrm{d}t_{ij}$ is the tangent map, not the exterior derivative.

ACuriousMind

@0celo7 Because the mathematician who wrote this wanted to remind us that we have to embed the $\mathrm{d}t_{ij}$ into the tangent space of the bundle, because, naturally, it lives in the tangent space of the Lie group (since the transition function is Lie group, not bundle-valied),

(I know it is the pushforward/differential)

0celo7

@ACuriousMind Mm, that seems a tad hand-wavey.

ACuriousMind

Heh, well, I am a physicist, after all :P

0celo7

9:13 PM

By inspection, it seems we must have $$\sigma_j(p)t_{ij}(p)^{-1}\left.\frac{\mathrm{d}}{\mathrm{d}t}t_{ij}(t)\right|_‌{ 0 }=(t_{ij}^{-1}\mathrm{d}t_{ij}(X))^\sharp$$

Is there some way to explicitly show this?

@ACuriousMind Sorry, there are too many $\mathrm{d}$s floating around for my liking.

ACuriousMind

Well, how did you define $()^\# : \mathfrak{g} \to T_s P$?

0celo7

Let $f:P\rightarrow\mathbb{R}$ be a smooth function and $u\in P$. Then $$A^\sharp f(u)=\frac{\mathrm{d}}{\mathrm{d}t}f(u\exp(tA))|_0$$ where $A\in T_{\pi(u)}M$.

ACuriousMind

@0celo7 Well, then $(t^{-1}\mathrm{d}t(X))^\# f(\sigma(p) = f(\sigma(p)t(p)^{-1} \mathrm{d}_t t(t))\rvert_{t=0}$ by definition, isn't it?

Oh, wait, the exp is missing, Grmpf

Nevertheless, I think the equality holds by definition, it's just difficult to trace it back through all this cluttered notation :P

0celo7

@ACuriousMind How would you do it in un-cluttered notation?

ACuriousMind

I know no uncluttered notation, this is why I hate DiffGeo proofs :D

0celo7

9:24 PM

Actually that should be $A\in \mathfrak{g}$ above.

@ACuriousMind Are you one of the people who review tag edits?

ACuriousMind

@0celo7 They show up in the suggested edit queue, yes

0celo7

@ACuriousMind You approved my masterpiece, right?

ACuriousMind

I...think I just did

0celo7

I'm not going to edit 53 tags btw.

That one had been bothering me for a while.

NeuroFuzzy

9:42 PM

Just covered a bunch of representation theory stuff. Schur's lemmas, converting representations to unitary representations, and orthogonality of irreps. How do you guys do this?! It's neat but I feel unenlightened and I couldn't prove those things from scratch! Not sure if I could even apply them...

My plan is just to read an armful of different books presentations of the theorems and the corresponding practice problems.

ACuriousMind

@NeuroFuzzy The representation stuff I mostly look up when I need it. I'd horribly fail if you demanded a closed book exam of that from me.

NeuroFuzzy

Oh really? That's a bit comforting to hear.

0celo7

@ACuriousMind 100 to go :D -- 6 mins left D:

ACuriousMind

@0celo7 Why 6 mins left? What's happening in 6 mins?

0celo7

Bounty

ACuriousMind

9:49 PM

Ah, yes

It will go unawarded, I guess :(

There's actually a 24 hours period after this in which I could still manually award it to answers posted by the deadline, but currently I'm not gonna do that.

0celo7

@ACuriousMind Should I hit up Gerard again?

ACuriousMind

@0celo7 If he didn't answer the first time, I guess he won't respond the second time, either.

0celo7

:(

ACuriousMind

Idle musing: There is a suspicious amount of bounties by Community active right now.

A+, @MarkMitchison ;)

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