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6:00 PM
Damn, it's tough mugging up the messier objects
 
@Tanuj My answer maybe wrong because i didn't think about it much but they do lie on the same unit circle, I checked
 
my brain's just this much away from exploding
 
@MasterYushi how
@PrathyushPoduval "this" is relative
 
parametric point (cosa,sina) for the unit circle
 
@Tanuj the subtelties of life are meant to be ignored
 
6:03 PM
@PrathyushPoduval not in here , or.. It's the h bar !
 
https://www.desmos.com/calculator/kc14buzy9s
See this graph, for $\theta=pi/4$ and $\alpha=pi/8$
 
@Mockingbird360 : I know what energy is. And mass.
 
@MasterYushi You're giving JEE this year too ?
 
@Tanuj yeah
 
cool
Guys check this out
 
6:14 PM
@Mockingbird360 : mass is resistance to change-in-motion. And "the mass of a body "is a measure of its energy content". A body contains energy. A radiating body loses mass. Energy is something real. Matter is made of it. A photon doesn't have energy, it is energy. See Einstein's E=mc² paper.
 
@Tanuj a bit of geometry lad
 
@PrathyushPoduval yea I know its circles :p
 
yeah, you don't need to do any coordinate geometery
the case given here is a very simple one
 
@PrathyushPoduval that's fine , but I wanna know how to do it with calculus , to solve similar kind of common tangent and common normal problems
 
that's bruteforce stuff which i haven't bothered to learn lol
 
Anonymous
6:18 PM
@JohnDuffield That's beating about the bush without actually axiomatizing the definition of energy. Also, the concept of relativistic mass is outdated.
 
Anonymous
Defining energy in terms of mass, doesn't make it clear at all
 
1 min ago, by Tanuj
@PrathyushPoduval that's fine , but I wanna know how to do it with calculus , to solve similar kind of common tangent and common normal problems
@Blue can you give some idea ?
 
Is it okay to apply Kirchhoff's voltage law if my circuit has inductors? ..like in a RL circuit? Can I consider the inductor to be like a battery with a polarity trying to oppose the changing current already flowing through it with a emf magnitude of Ldi/dt ? All my books do this.. I remember watching a lecture from Walter Lewin where he says we can't apply KVL if we have a time-varying magnetic field since it's non-conservative :/
 
@Tanuj Thinking about it, you can actually solve it using geometry I think for any arbitary cases
 
@Rick any ideas on how to do those common tangent and common normal questions ?
 
Anonymous
6:23 PM
@JohnRennie It seems GitHub can now render Jupyter notebooks without any external plug-ins. So I can share that link directly!
 
Anonymous
Also this seems a good website: nbviewer.jupyter.org
 
@Tanuj answer is A?
 
@MasterYushi yea , how did you do it ?
 
@Tanuj some basic coordinate, I'll drop a pic, wait
 
ok
 
6:29 PM
 
Anonymous
@Tanuj It is possible, but it's been long since I did such a problem. Tangent to a curve has slope $dy/dx$, while Normal has slope $-dx/dy$. So basically you use that.
 
Anonymous
Why not ask on Math SE?
 
vzn
@Mockingbird360 the motion is of space itself
 
6:53 PM
@Blue instead of relativistic mass, what do we use now?
i've been taught the old way apparently
i've been taught that rest mass is m_0 and that mass is gamma m_0
is that outdated?
 
Anonymous
Just rest mass. And when/if you need $E^2=(pc)^2+(mc^2)^2$, where $m$ is rest mass.
 
Anonymous
That's pretty much the modern standard
 
wait so the only difference is that now gamma m_0 has no name?
 
Anonymous
34
Q: Why is there a controversy on whether mass increases with speed?

User 17670Some people say that mass increases with speed, some people say that the mass of an object is independent of its speed. I understand how some (though not many) things in physics are a matter of interpretation based on one's definitions. But I can't get my head around how both can be 'true' is an...

 
@no_choice99 Pretty much. Sometimes you'll still hear people say "relativistic mass" which does refer to $\gamma m$ (with $m$ being what you know as $m_0$, i.e. the "mass" or "rest mass"), but usually they just say "energy" which refers to $\gamma m c^2$
 
7:03 PM
i see. man that's confusing
 
Anonymous
It just reduces confusion.
 
what i find confusing is keeping track of what's modern and what's the old way
if only i was taught the right modern way right away, i wouldn't find that confusing
 
Anonymous
Anyway, you wanted an axiomatic definition of energy?
 
who, me? no
 
Anonymous
36
Q: What's the real fundamental definition of energy?

user1620696Some physical quantities like position, velocity, momentum and force, have precise definition even on basic textbooks, however energy is a little confusing for me. My point here is: using our intuition we know what momentum should be and also we know that defining it as $p = mv$ is a good definit...

 
Anonymous
7:07 PM
@no_choice99 Ah, okay
 
i see a new quantum computing stack exchange website
what's that? qubit things? where does one learn about qubits? I haven't dealt with them in undergrad QM
 
Anonymous
Quantum Computing is a separate subject. It isn't taught at the undergrad level, at most places.
 
i see
 
@no_choice99 Yeah, that's always a necessary step when conventions change - you take on more confusion in the short term to reduce it in the long term.
 
I agree David Z. i'd usually favor changes
 
7:16 PM
does graduate school QM teach quibits? No in my alma mater. I learnt it in a research assistant position.
 
Anonymous
@CaptainBohemian QC is not QM :P
 
@Blue I know that, but @no_choice99 said " I haven't dealt with them in undergrad QM".
 
Anonymous
@CaptainBohemian Okay, but I don't get your point.
 
Anonymous
Was that "does graduate school QM teach quibits?" a rhetorical question?
 
I assume no_choice99 considers qubits would be taught in QM in graduate level because (s)he hasn't been taught about qubits in QM in undergraduate level, but I don't think that's the case.
 
7:22 PM
yeah i assumed that
 
Anonymous
As I already said, it is a separate subject
 
I only like some topics in quantum information and quantum computation. Some topics in this subject are very odd (in the sense of being paranormal) in that they are not like the usual topics physics department teaches.
 
uh what.. paranormal??
can you give an example?
is it what john preskill studies
 
Hey @JaimeGallego :)
How's it going?
 
Howdy
About to begin Easter holidays
Mostly doing some R&R before getting back to other projects
 
Anonymous
7:32 PM
R&R?
 
reading and research i guess
 
"Rest and recuperation"
R&R, military slang for rest and recuperation, is a term used for the free time of a soldier or international UN staff serving in unaccompanied (no family) duty stations. The term is used by a number of militaries such as the United States Armed Forces and British Armed Forces. The US Morale, Welfare and Recreation network provides leisure services for US military personnel. In the UK, the term applies to a type of leave granted to personnel during an overseas deployment which allows them to return home to the UK to visit their family. Service members and US Defense Department civilians on 12-month...
 
Ah, nice :)
 
@no_choice99 I can't recall those topics quickly now because they are too odd (paranormal) to understand for me. I usually have difficulties remembering for long things I can't learn well.
But if someone mentions those topics to me, I may have impression.
 
ok
im not convinced of the weird (in the paranormal sense) stuff in QC
coz i didn't see such thing in QM
 
7:35 PM
@CaptainBohemian "paranormal" usually means things like ghosts (not Fadeev-Popov ghosts, but ghosts in the colloquial sense). You're likely looking for a different word
 
i doubt it's different, but hey, i know nothing about qc
 
Anonymous
How does physics explain ghosts? Hmm. Never wondered about that
 
Anonymous
QM is usually a good place for cranks to start from :P
 
@Blue They're a crucial ingredient for the quantization of gauge theories ;)
 
@ACuriousMind I do have the feeling those topics are as increditable/inexplicable as paranormality. I can't think of other words to describe my feeling now.
 
Anonymous
7:39 PM
@CaptainBohemian Example?
 
already asked for an example
 
@CaptainBohemian Since something paranormal is by definition not explicable by science, I still have my doubt about your choice of words ;)
@JaimeGallego Ah, "Easter holidays". All I get now is a Friday and a Monday off ;)
@Qmechanic I'm not sure that will do anything - if I enter a synonym, it's only replaced after I have entered the tag. People who won't read the tag description to figure out whether the tag is right for their question probably also won't be fazed by kinetic-theory being magically replaced by statistical-mechanics after posting.
 
@ACuriousMind : It is more likely to be corrected, either by OP or others.
 
@no_choice99 ok, now I think of an example, something like teleportation. @blue
 
i wish i had studied that ^^
 
Anonymous
7:47 PM
@CaptainBohemian That's far from "paranormal".
 
Anonymous
Very much explainable
 
@Blue did you study QC?
 
Anonymous
Unless you are referring to some Michio Kaku level pop-sci stuff
 
Anonymous
@no_choice99 I am
 
Obligatory xkcd on quantum teleportation
 
Anonymous
7:50 PM
@ACuriousMind This is why I love xkcd
 
Anonymous
There's always something relevant :D
 
@Blue maybe it's very much explainable to you, but I feel the way of the explanation is unusual to me, not completely understood by me.
 
Anonymous
@CaptainBohemian Let's put the cards on the table. What's the usual way of explanation you're referring to ?
 
@Blue : relativistic mass aka E=mc² is not wrong, and nor is it outdated.
 
Anonymous
@JohnDuffield It's not wrong, but it's outdated. Also, you're dodging the point that that does not give any axiomatic definition of energy.
 
Anonymous
7:53 PM
You can't just say "energy is relativistic mass" and get away with it
 
Anonymous
And when asked to define mass, you invoke energy
 
@Blue : I didn't give much of a definition of energy. Nor did I say energy is relativistic mass. I said mass is resistance to change-in-motion. That's what it is. It's a lot easier to get a skateboard moving than a truck.
Do you doubt me Blue?
 
@Blue Between xkcd, smbc and the newly-revived Abstruse Goose, there's a comic for everything
 
Anonymous
Inertial mass is a measure of resistance to acceleration. Okay, that's a very middle school level definition and I like it. If so, I don't understand why you even needed to mention $E=mc^2$, there. Is it like compulsory for you to invoke Einstein's work at every possible instance, even where it is not relevant?
 
In some cases it may be more intuitive to lump everything together into a single inertia. But I agree that it is outdated.
I mean
"The photon does not have mass until it does" sounds backward.
 
7:59 PM
@Blue : it's because when you trap a massless photon in the mirror-box, the mass of the system is increased. The box is harder to move because the photon is in there. Then when you open the box, the mass is reduced. Like Einstein said: "If a body gives off the energy L in the form of radiation, its mass diminishes".
 
@JaimeGallego It's a tautology, not backwards ;) (But be aware there's no such thing as a photon with mass in standard physics, this is prohibited by gauge invariance)
 
@ACuriousMind Indeed, that is why I commented on it being outdated
 
Anonymous
@JohnDuffield You're again confusing between relativistic mass, energy and rest mass.
 
Use momentum instead
 
Anonymous
"when you trap a massless photon in the mirror-box, the mass of the system is increased"
 
Anonymous
8:00 PM
That statement clearly shows the confusion
 
Anonymous
@ACuriousMind I haven't seen much Abstruse Goose comics. But yeah, smbc is cool too!
 
@Blue : I'm not confusing these things. That's what happens. As per Einstein's E=mc² paper, "radiation conveys inertia between the emitting and absorbing bodies". If you open mirrorbox1 to let the photon out, its mass reduces, then when you catch the photon in mirrorbox2 its mass increases. The box is harder to move when the photon is in there.
 
Anonymous
"The box is harder to move because the photon is in there. " Gosh, you speak as if someone has actually performed that experiment. That's so much nonsense in one sentence.
 
Anonymous
@JohnDuffield "radiation conveys inertia between the emitting and absorbing bodies". That part is true.
 
8:04 PM
@Blue : it's true. "If a body gives off the energy L in the form of radiation, its mass diminishes" This is basic stuff. Why do I have to teach you this? Are you still at school?
 
Anonymous
@JohnDuffield The quoted statement is true. But that does not say anything about why a box will be harder to move if there is a photon inside.
 
Anonymous
I'll probably give this a rest. It's not worth the effort.
 
@JaimeGallego : photon momentum is a measure of resistance to change-of-motion for a wave moving linearly at c, but you cannot decelerate it like you can decelerate an electron. However you can decelerate it in the vector sense, as per Compton scattering.
@Blue : it's because the photon is not moving in aggregate with respect to you. See arxiv.org/abs/1508.06478 by van der Mark and (not the Nobel) 't Hooft.
 
"Light does not have momentum because it does not have mass" ~my old high school physics textbook
 
Anonymous
@SirCumference Really? :P
 
8:12 PM
@Blue : what you mean is that you don't know about Einstein's E=mc² paper. Yes, you'd better give it a rest.
 
(@Blue don't let JD taunt you--that was a reasonable decision to disengage you made a moment ago)
 
@SirCumference : light has momentum, and it has inertial mass. That's why it conveys inertia between the emitting and the absorbing bodies.
 
@JohnDuffield Yes, I know. My old textbook did not know.
 
@SirCumference : good stuff. Perhaps that's the book Blue's been reading.
 
@JohnDuffield Stop it. Be Nice applies everywhere on site, including chat.
2
 
8:15 PM
@ACuriousMind There's just an error in the proof. I found a correct one.
 
Holy hell, what's wrong with the chat today
 
@ACuriousMind How do you feel about the typesetting on the last equation here? i.gyazo.com/40c24f44bed464521b662ec997c842fa.png
 
@nitsua60 : I try. However when people say Einstein was wrong on a physics website it's sometimes tempting to be a little bit forceful.
 
@JohnDuffield Dude, get over yourself and Einstein.
 
@0celo7 I'm not sure it's the typesetting that's the problem there ;P
 
8:17 PM
@JohnDuffield It's fine to be forceful--just do it Nicely.
 
@ACuriousMind ?
 
@0celo7 I mean there's probably not a prettier way to typeset that equation, but the equation is ugly :P
 
@ACuriousMind it's my equation :(
I think it's pretty
 
@0celo7 You have to keep in mind my aesthetics are definitely not those of a geometric analyst
 
@ACuriousMind The end result is definitely very nice though.
Even you will enjoy it
 
8:20 PM
@SirCumference "get over yourself" isn't really a helpful way to put it to someone you think needs self-getting-over, methinks. Point to specific statements, make actionable requests, explain why. Assume Good Faith, even when it's hard. Especially when it's hard. Ask for help when you need it. Let "Someone On The Internet Is Wrong!" happen.
 
I think most people don't have the time and energy to argue with difficult people on the internet. The right move then, is not to blatantly tell them to stop - because that's not going to work. The right move is to put them on ignore.
7
Which I do all the time and am happy to do
 
@BalarkaSen whom do you have ignored
 
Not a good idea to publicly share that is it
 
am i on it
 
Clearly not!
 
8:23 PM
@0celo7 That's not a useful question in this context - the whole point is not to make a big drama out of it.
 
Anyway, a photon has no mass in the usual sense because you cannot speed it up or slow it down by pushing it. But when you trap it in the mirror-box, this massless photon increases the mass of that "body". Open the box to let the photon out and the mass of that body is reduced. This is why the the inertia of a body depends upon its energy-content.
 
I do like trolling difficult people occasionally, which is why I don't consistently maintain my rule stated above. But then it's your fault if you get aggravated if the opponent - the difficult person - trolls back
Also, that trolling better be controlled and civilized, otherwise it's just a violation of the guidelines
One has to be eclectic, as a wise man once said
 
It's also why the photon has a non-zero inertial mass. Inertial mass isn't rest mass, it's a measure of energy. The Wikipeida inertial mass doesn't make this clear.
 
Oh god I have to water other people's plants. Are there any good "Sorry I drowned your plants" cards?
 
@0celo7 I agree with ACM, but will add that if you're sincerely curious because of whatever reasons, that's the sort of thing that a side-room (around here you use Physics Meta for it?) can be really good for: a genuine conversation about a topic that's fine to discuss but, if simply inserted into the larger flow, would reasonably be expected to cause unnecessary conflict.
 
8:34 PM
I have a line for private communication with Mr. Sen.
 
That's fine. You may not know, but I write in chat with the same philosophy I write on mainsite(s): it's not just the person being addressed I suppose will read it. See also meta.stackexchange.com/q/244534/311001
 
Would anybody like to talk about the mass deficit? That's typically where gravity converts potential energy into kinetic energy, which ends up getting dissipated, typically in the form of radiation. You're then left with a mass deficit. The mass of the body is less than what it was. It's not a million miles away from "If a body gives off the energy L in the form of radiation, its mass diminishes".
 
@BalarkaSen That's a reasonable position, and (sadly) also one that leads collectively to a toxic environment. Tragedy of the Commons, and all =\
 
vzn
lol "civilized trolling" :P
 
It's the position that the mathematics chat has taken for years and years and years
and is still running up and well
 
8:39 PM
Alright people, I've got to run. My weekly punchspace D&D game calls. Be well!
 
@nitsua60 I'm only here because my biweekly Fate game fell through ;P Have fun!
 
See ya
 
@SirCumference ???
 
Dog walked over my keyboard
 
Dogs don't walk over keyboards, yours must think it's a cat
 
8:43 PM
You'd be surprised with how often she walks over mine
 
Anonymous
I've seen dogs sleeping peacefully over keyboards
 
Anonymous
Apparently the PC warmth attracts them
 
Anonymous
Although cats are the more entitled ones
 
Does anybody want to talk about energy then? There's something very special about Compton scattering:
 
@ACuriousMind What's your gravatar supposed to be?
 
8:46 PM
 
@JohnDuffield Please, stop interrupting with random physics. No one is talking about that.
 
@SirCumference Fell the Dabus.
 
@SirCumference : No one is talking about anything, so I'll leave a message for Mockingbird.
 
@JohnDuffield Then actually ping Mockingbird, instead of asking "does anybody want to talk about energy?" Right now you seem to be ranting to no one.
 
@Mockingbird360 : In Compton scattering some of the photon energy is converted into electron kinetic energy. If you were to perform another Compton scatter on the residual photon, and then repeat ad infinitum, you would have converted all of the photon energy into electron kinetic energy.
 
8:53 PM
Let's phrase this in a more general manner: When other people ask you to stop going on about a topic, you stop. See e.g. this for precedent.
 
vzn
wow, shog9 speaketh to Physics hadnt seen that one (+1) o_O
 

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