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3:00 PM
hmm yes i know there is relation between mass and energy
 
@BalarkaSen apparently Lefschetz lost both his hands before becoming a mathematician
one of my professors remarked that his propensity for hand-waving arguments was curious given this fact
 
@0celo7 Burkhard Heim lost his hands and was blind and deaf
He still managed to do physics
 
not as famous as ol lefschetz tho
 
@0celo7 he probably thought vague arguments were 'armless
 
so $\approx 1 \text{ GeV}$ is proton rest mass ?
 
3:02 PM
that only works in British
 
@Tuki yes, though we use the term invariant mass these days
 
if it has velocity it's "mass" is greater ?
 
@JohnRennie these types of things make physics distateful imo
 
@Tuki no
 
who gives a poop which mass is correct
 
3:04 PM
@0celo7 these things matter oh potty mouthed one
 
well does photon have "mass" when it's traveling at $\approx c$ ?
if $E=mc^2$
 
No, photons are massless
 
If we apply a force F on a sphere so that it undergoes pure roll, then why does not the opposite static frictional force cancel it out because static frictional force is equal to net applied force?
 
What even is the definition of mass @JohnRennie
 
@0celo7 $p^2 = -m^2$
 
3:06 PM
The thing that appears in $E^2 = p^2c^2 + m^2c^4$
 
what is the definition of $p$
and $E$
 
Depends on the theory
Either $p_\mu = \dfrac{\partial L}{\partial (\partial^\mu \phi)}$
 
@0celo7 conserved quantities relating to symmetries of the action
 
or $p_\mu = \int d^nx T_{\mu\nu} V^\mu V^\nu$
With $V$ some observer
Or it's gonna be the expectation value of an operator similar to that
 
Hi
What is the best textbook for self-studying physics?
 
3:08 PM
For most theories the definitions are equivalent, tho
 
you could try to compute mass for photon even it's considered as massless $E=mc^2 \iff m=\frac{E}{c^2} \iff m=\frac{hf}{c^2}$ ??
 
@JohnRennie but the action isn't symmetric in GR :(
 
I wanna know every concept in detail.
 
0
Q: Tracking down an old question

WillOA few years ago, there was a question posted --- and then soon deleted --- in the form of a brain teaser: A lockbox full of money had been transported to the moon, where, on a balance scale, the lockbox continued to balance against the same weight as it had on earth. The trick was to notice th...

 
Is there any textbook that you recommend?
Regards! :)
 
3:09 PM
@0celo7 Then you just use the stress energy tensor
 
@Slereah ...check your indices before you rek yourself
 
@0celo7 w/e
 
@JohnRennie What's the best textbook for stuyding physics?
I wanna know every concepts of physics in detail.
 
How do you even write down a Lagrangian. What's a field?
 
You just take the spacelike part of projecting the SET on some observer
 
3:10 PM
@Busi I can give you books
Let me get a stack going
 
and then integrate it over a region of space
 
@0celo7 I'd be grateful! What are they?
 
inb4 I stack all of my books
 
@0celo7 What do you recommend? I'd be grateful.
 
@0celo7 Section of a vector bundle
 
3:11 PM
but is spacetime really a manifold
also you mean principal bundle
 
Well no
 
well yes
 
The principal bundle is the gauge, not the gauge field
 
I would be interested too in some good textbooks about physics
 
what could spacetime be if it is not a manifold. I knew of nothing more general than a topologial manifold
 
3:12 PM
@0celo7 What kind of books do you recommend?
As I said, I wanna know every concepts of physics in detail.
 
@Secret there's lots more general things
 
There's plenty of theories with spacetimes as not-manifolds
causal sets
 
@Busi For the hell of it I'm going to stack all of my physics books
 
conifolds
etiological spacetimes
 
this is going to probably break the table
hmm
 
3:12 PM
@0celo7 when lol
 
@Busi 0celo7's books are all far too advanced for beginners.
 
ooh :)
 
What stage are you in school?
 
Is there any alternative then?
@JohnRennie You mean what grade I am?
 
Yes. You're in the US?
 
3:14 PM
Oh, am not.
 
currently 9th grade
 
@JohnRennie Not true
I have some basic books
 
and interested in physics
 
3:14 PM
as seen lol
 
Man, I need to buy that one
 
Well, one or two basic books
 
@JohnRennie So, I wanna know every concepts of physics.
How should I know every concepts of physics?
 
ok @JohnRennie he wants to know everything
 
which country your from @Busi ?
 
3:15 PM
I think just by reading books
 
@Tuki Italy
 
It will look great next to MTW
 
that's a very odd symbol, or is it 3 symbols?
 
3:16 PM
@0celo7 i was serious lol
 
So in Italy 9th grade is considered as ? i mean how old are you if you are on 9th grade ?
 
Remember that relations are sets
 
@Tuki am 16
 
now
 
3:17 PM
ok
 
@JohnRennie Are you there
 
ah, so that's "$\subset$" subset relation, got it
 
@Busi I don't know what books are good for studying at that age I'm afraid.
 
Hawking and Ellis requires basic algebra and calculus
 
3:18 PM
the latex symbol for "existence" ?
 
@JohnRennie It's not that important to be 18 or something.
 
The manga guide to relativity is on libgen
:D
 
If you're interested in physics, then there's nothing
physics is a field, not a subject.
 
$\exists$
 
3:19 PM
>Napolitano
 
This is like set theory notation or what these symbols are called ?
 
What is this ice cream man
@Tuki that is logic notation
It means "there exists"
 
yes i know
 
@0celo7 Those all are about relavity
 
there's like 8 quantum mechanics books there
 
3:21 PM
yeah but
I need mechanics, heat and others
 
nah
just learn GR
 
Oh why?
 
for the mathematics I have about 4 times as many books
you need to start reading soon
 
I think there is no complications if you try to mix notation from set theory and ones used for logic ?
 
@0celo7 Do you have calculus textbooks for beginners?
 
3:22 PM
No
 
Hmm
What about mechanics?
heat, circuits, electromagnetism?
 
Only mechanics I have is Arnold
 
Hmm
Then I don't know what to do lol
 
@Busi Those are for engineers
 
Jesus
 
3:23 PM
still couldn't a book that explains everything
 
That book is 200 pages
Most of it is pictures, still!
 
@Slereah what book
 
@0celo7 Those all can help me for studying GR
 
Manga guide to relativity
 
@0celo7 but not for studying others
 
3:24 PM
all you need for GR is Riemannian geometry, elliptic and hyperbolic PDE, and geometric measure theory
 
Well one good calculus book is "Calculus: A Complete Course by Robert A. Adams & Christopher Essex "
 
@0celo7 no need to study GR right now.
 
@Tuki I have Adams' tome on Sobolev spaces, it's very good
 
the thing I needa study is heat,mechanics,dynamics
 
3:24 PM
Oh no
 
@0celo7 Isn't it possible to find a book which explains every concepts?
 
@Busi of course not
 
@0celo7 Then what should I do?
 
the CK theorem takes 500 pages to prove, how do you expect to fit that inside some other book
 
3:26 PM
@0celo7 cuz you know that I wanna know everything
 
Well you should pick something you want to start with
 
that's an unattainable goal
 
there should be some books that explain a concept and other concepts
 
and you're not letting yourself get trolled, quite annoying
 
aight
am confused rn
n out of my mind
 
3:27 PM
don't listen to @0celo7
he is a meme
 
I still couldnt a book
that explains mechanics lol
 
@Busi come to me when you see the light
 
@0celo7 what u mean LoL
 
Oh no
 
@Busi Physics is a vast field, and probably more than any single human can learn in their lifetime. Ask for something more reasonable, a book that explains a specfic subfield or concept, and we might be able to help you.
 
3:28 PM
About that do you know good book about electromagnetism ?
 
I gave him all the books on GR he'll ever need, so I have done my part
 
@Tuki For every concepts
like electromagnetism, heat, mechanics, circuits
relavity, modern physics
 
For that you would need more than a one book obviously as already mentioned multiple times ?
 
It doesn't matter.
the thing is to find the book
 
3:30 PM
@Busi "University Physics" by Young and Freedman
 
@0celo7 I already had it
 
Anonymous
@JohnRennie Eh, that question was for @BalarkaSen . :P Anyhow, I was getting at the fact that the energy lost when a nuclides have less masses than constituting nucleons which form them, precisely because during formation there's emission of gamma particles. Many people seem to be confused about how exactly energy reduces when you bring together particles to form a system. So.
 
a month ago
 
then what the hell are you asking for
 
@Busi Ah, and now I see that you are one of our more persistent sockpuppeteering trolls. Begone.
 
3:31 PM
@ACuriousMind wtf?
did you just ban a curious kid?
mod abuse!
 
The most kawaii I've ever seen Michelson and Morley
 
sockpuppet of who?
 
@Secret mods don't comment on these matters
 
ok
 
@ACuriousMind Is there a Lipschitz retract of $\Bbb R^n\setminus \overline{B_R}$ onto $\partial B_R$?
 
3:33 PM
Anyway how do you know if someone is moderator ?
 
Cannot chat for 41 days!
 
@Tuki diamond next to their name
 
@Busi whoops
 
@Tuki Our names are blue in chat and have a diamond beside them.
 
@ACuriousMind I've never seen this diamond
 
3:34 PM
@ACuriousMind: Thanks very much for your attempts to help with my meta question. For the record, the solution was this: physics.stackexchange.com/questions/92619/…
 
So the diamond doesn't show in chat but your name is blue got it
 
@0celo7 ...you have never looked at any of my posts on the main site after I was elected?
 
@ACuriousMind I never go on the main site.
 
problem solving room is dead
 
3:35 PM
Yeah, I just saw that. I've never clicked on his name either
 
I'm the only one there lol
 
@MasterYushi not dead, just sleeping :-)
 
@WillO Ah, huh. Out of curiosity, how did you find that? Standard users can't search deleted posts. Wayback machine?
 
I had apparently made a note to myself that I'd forgotten about.
 
Anonymous
The shape of a diamond really doesn't look like that though. :P
 
Anonymous
3:36 PM
They added some "curves" to it
 
I wonder if there are books about just problem solving ?
 
@WillO Heh, alright then
 
can anyone look at my solution?
 
You can find plenty but the issue is you don't know which one is good and which one is bad
 
Funny thing: The diamond is orange for some reason in the SE mobile app
 
3:42 PM
@ACuriousMind: According to my notes, the user was named "Jitter". There seem to be two Jitters, neither of them active .
 
@WillO This Jitter is the one you want.
 
@ACuriousMind: Thanks. That's the info I was looking for.
 
@WillO No problem :)
 
Apparently japanese for time dilation is the urashima effect
 
@Slereah Why are you still reading the physics manga? :P
 
3:47 PM
@ACuriousMind to learn!
Oh no!
 
Anonymous
@ACuriousMind I was actually curious about something. Was your undergrad degree in physics or math? If it were physics, did you pick up all the advanced algebra, analysis, topology, diff geo, measure theory, etc. stuff in "physics for mathematicians" courses or in actual math courses? Also, how much of it did you learn in your undergrad and how much of it in your graduate degree? By the beginning of your graduate degree did you already know all those math topics in depth?
 
Anonymous
(If you don't mind me asking i.e.)
 
Anonymous
*I meant "math for physicists" courses there
 
4:02 PM
@Blue My undergrad was physics, but there's a lot of choice about which courses to take here - I filled a lot of the credit which others filled with other science courses like chemistry or biology with actual math courses.
I don't know measure theory, but the rest of the topics I'd say I already knew quite well after undergrad.
I haven't ever had a "math for physicists" course in my life - we are allowed to choose whether to take the three-semester analysis track or a two-semester "math for physicists" track, I chose the former
 
Anonymous
Interesting. That does give me a rough idea of how much I need to learn, or rather how much I don't know. Thanks. :)
 
Do you have an "engineering physics" department at your uni
 
Anonymous
@skullpatrol Are you asking me?
 
@skullpatrol No, Heidelberg has no engineers (odd, I know!)
 
yup
 
Anonymous
4:08 PM
@skullpatrol Nope. We have a separate physics department, but no "Engineering Physics" department
 
Anonymous
Some universities in India have that stream, though.
 
Now, that is odd!
Both of you :-)
 
Anonymous
Why odd? Engineering Physics is not a very main-stream course
 
i always wondered whats special in engi physics
 
Anonymous
@PrathyushPoduval It's sort of Physics + EE + tiny amount of CS combo
 
4:11 PM
so you end up knowing little of everything
 
Anonymous
Not bad I'd say. A broad base during undergrad is helpful sometimes
 
yeah, but having only a broad base won't help
you need to have a specialization somewhere
 
They say chemical engineers make the most money over their entire careers.
 
Anonymous
They do get some specialization during the last 2 years, I think. Electives and stuff.
 
Anonymous
Like we have an option for a CSE specialization in the last 2 years
 
Anonymous
4:14 PM
@skullpatrol Depends on the country. CE's here don't earn much
 
@skullpatrol money can be made if one wants to
for a good life, I don't think much money is required
 
4:56 PM
@BernardoMeurer I've seen very few books that teach the technique and rationelle of free-body-diagrams well.
Certainly when I was learning (back in the late bronze age) I had to absorb that by osmosis, and I couldn't have explained it clearly even at the beginning of grad school.
Right now were using Knight Jones and Field for are algebra/trig based introductory courses and it does a better job than most.
 
Anonymous
@dmckee I've seen Engineering Mechanics (Statics and Dynamics books) do a better job of explaining it compared to Physics textbooks.
 
Anonymous
My favorite is Meriam and Kraige
 
Anonymous
"late bronze age" :)
 
@Blue My wife's statics books did a passable job. I think the reason for this is that the process of calculating is (at least part of) the subject in those courses, while in physics courses the subject is the underlying principles.
 
@dmckee How many lectures do you spend on it in that course?
 
5:01 PM
@skullpatrol One dedicated hour-long lecture, with a supporting worksheet. Then we return to the subject of how and why to draw and use FBDs several times in the next few weeks. I'd estimate that this occupies about another hour of class time.
 
Anonymous
We had a nearly 4-5 month long course on Mechanics in high school if I remember correctly. As a result not much was new when we started with Meriam Kraige in college. It helped me to refine my knowledge a bit though.
 
@JohnRennie I need a better CPU
 
WISE 0855−0714 (full designation WISE J085510.83−071442.5) is a (sub-) brown dwarf 2.23±0.04 parsecs (7.27±0.13 light-years) from Earth announced in April 2014 by Kevin Luhman using data from the Wide-field Infrared Survey Explorer (WISE). As of 2014, WISE 0855−0714 has the third-highest proper motion (8118±8 mas/yr) after Barnard's Star (10300 mas/yr) and Kapteyn's Star (8600 mas/yr). As of 2014 it also has the fourth-largest parallax (449±8 mas) of any known star or brown dwarf, meaning it is the fourth closest extrasolar system to the Sun. It is also the coldest object of its type found ...
The coolest star is cold enough for water to freeze on its surface
 
Anonymous
5:16 PM
@SirCumference Is that surprising? :P Not all stars are hot
 
@Blue Well yeah, but no other known star is literally freezing :P
Some are not hot enough to boil water, but darn, this is impressive
 
Anonymous
WISE 1828+2650 (full designation WISEPA J182831.08+265037.8) is a brown dwarf or rogue planet of spectral class >Y2, located in constellation Lyra at approximately 47 light-years from Earth. It is the "archetypal member" of the Y spectral class. == History of observations == === Discovery === WISE 1828+2650 was discovered in 2011 from data collected by NASA's 40 cm (16 in) Wide-field Infrared Survey Explorer (WISE) space telescope at infrared wavelength. WISE 1828+2650 has two discovery papers: Kirkpatrick et al. (2011) and Cushing et al. (2011), however, basically with the same authors...
 
Anonymous
This is close
 
Anonymous
There are some others too which are estimated to have <0C temps at some regions on surface
 
Anonymous
Too bad we don't have Black Dwarfs
 
5:20 PM
@Blue Ah, I stand corrected
@Blue Black dwarfs are an entirely different object from these brown dwarfs
 
admitting you're wrong is very weak
 
@0celo7 Arguing when you know your wrong is pointless :P
 
no, it's called dominating the competition
 
Anonymous
@SirCumference Eh, a white dwarf which doesn't emit light. Pretty much
 
@Blue Yeah, but these are brown dwarfs, which don't come from white dwarfs
 
Anonymous
5:22 PM
The time taken to form a black dwarf is greater than the age of the universe
 
@Blue Yep. It'd take quadrillions of years, or much more
 
Anonymous
@SirCumference That's true. Brown dwarfs are at the lower mass end.
 
Anonymous
What was that diagram thingy called?
 
Anonymous
Which plots masses and luminosities?
 
The Hertzsprung Russell diagram?
 
Anonymous
5:25 PM
Ah, yep
 
Anonymous
H-R diagrams
 
Yup, it technically plots luminosities and temperatures though
 
Anonymous
I should revise astro sometimes :P
 
Anonymous
@SirCumference Oops
 
Anonymous
Yeah
 
Anonymous
5:26 PM
Are you taking any more astro classes?
 
@Blue Same, I haven't visited it much since I became an undergrad. We don't have an astronomy major so I never learned much more about it here
@Blue Sadly not :/ They're been getting in the way of more important classes
 
Anonymous
I miss those days of rushing to the rooftop with my binoculars whenever I got a comet notification :P Could never afford a good quality telescope though. Maybe, someday...
 
nerds
 
Anonymous
We had a Newtonian at school
 
Anonymous
I guess I'll get a refractor sometime
 
5:29 PM
@0celo7 How does your interest in math not make you a fellow nerd?
 
because I never looked at comets
I don't even know of any
 
Anonymous
@SirCumference Ah. You can take up more classes in grad school
 
Anonymous
If you take up astronomy/cosmology
 
Anonymous
Unless you go hard-core math
 
@Blue Yeah, that's what I'm waiting for. I just hope I don't lose interest in these 2 years
Feb 2 '16 at 5:34, by user54412
One thing to note is that comet-hunting used to be at least 50% of astronomy (back a couple hundred years ago). Now there might not be 50 people in the world who research comets.
From the great Chris W
 
Anonymous
5:30 PM
@SirCumference Try taking part in some undergrad research projects if possible
 
Anonymous
Helps to keep in touch
 
so Chris is saying that modern people think comets are boring
gotcha
I agree 100%
 
@Blue I genuinely love math, particularly analysis, and I enjoy the rigorous aspect of it. But I'm more interested in how the universe works
 
Anonymous
As a kid, that visual astronomy was more interesting. Who cares about the mad math people who spend their day writing weird symbols on paper!
 
@Blue He has a legendary GR person at his school but he refuses to talk to him
 
5:32 PM
The great Chris is not here to explain.
 
@0celo7 JS?
If not put the initials
 
no
HL
 
@0celo7 This is a prof or grad student
 
professor
 
@0celo7 Oh, this is a math professor
 
5:36 PM
of course
 
Anonymous
Pretty much the first guy on your Math department faculty page
 
the best physicists are mathematicians
 
Anonymous
PDE guy :P
 
@Blue I was looking aimlessly at physics for a while
 
Anonymous
Yeah, you should totally follow 0celo's advice and visit him :)
 
5:37 PM
I've already bugged 5 different profs for advice
 
you just need to impress one
 
Anonymous
Doesn't matter. Profs normally like having enthusiastic students around.
 
if you can read any of HL's papers you will impress him
we're doing some of his work in my hyperbolic PDE class right now, it's pretty insane
 
@0celo7 The only papers I'm capable of understanding quite well are astronomy papers
 
Anonymous
By the law of large numbers, the more number of people you contact, the more people you'll have who are willing to help you. :P
 
5:39 PM
Obviously math papers are out of the question
 
I would link one of his famous papers but that would reveal you
Although I think everyone knows by now
 
@0celo7 Oh please, only a few people know
 
How the hell did @Blue find out
 
He was there when you bought it up
 
Anonymous
I was lurking around
 
5:40 PM
the other blue knows and he probably emailed people about it
 
+ skill :P
 
he's looking for you
 
Yeah I'm still wondering how obe found out
 
he was lurking while banned
 
His ears must've rang when you brought up my uni
Does GR really involve that much PDE?
 
5:43 PM
GR is a very large field
some parts do
 
Sigh, now I'm questioning my schedule again
 
any PDE you could take now wouldn't help you with HL's work
is there a second year graduate PDE you can take?
 
Well at this point I'm just trying to figure out what math courses will help with cosmology
 
probably none
 
Eh, cosmologists I've spoken with said complex analysis, some real analysis, and diff geo are helpful
 
5:47 PM
Do those guys actually know what they teach you in those courses
Asking professors in other fields about math classes never works out
 
Well asking math professors about courses for cosmology doesn't seem more viable
 
yeah
so the conclusion is to become a mathematician
 
<_<
 
Anonymous
I think the best way to learn something is to get hands on experience. Cosmology is a really vast field, and you'd probably only be working on some parts of it, in the future.
 
5:49 PM
Yeah, but a strong math background gives me more options
 
Anonymous
It doesn't help to worry so much. You won't learn all the math needed for research level cosmology at college (undergrad) anyway. That's just the basics.
 
Anonymous
@SirCumference Sure
 
@Blue Meh, I have trouble believing that they'd waste our time and money telling us information we won't need
 
lol
 
Anonymous
@SirCumference Heh
 
5:51 PM
are you really that naive?
 
Don't give me that. That's insane
Thinking that way can only be dangerous
 
arae you calling yourself insane?
 
No. Going through college thinking you won't need most of the information is going to hurt
 
it only hurts if you take the basic classes on the syllabus
you should skip most of those
 
All right, I have to go
 
5:54 PM
cya
 
Going over AVL trees
and some karatsuba things later on
Got to make some CS gains this afternoon
then some Physics gains latter tonight
 

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