*Clarification:* When I define Noether's theorem at 1:52, the text on the screen is correct. However, there's a subtle disconnect between the broad conceptual language and the strict mathematical language of Noether's theorem that makes what I say out loud misleading. It would seem the math of Noether's theorem only applies to _continuous_ symmetries. There are _discrete_ symmetries that also result in conserved quantities, but are not due to Noether's theorem in the strictest mathematical sense. #LanguageIsHard

@jacobkrebs5026

4 жыл бұрын

Why can we apply noethers theorem, isn't it only defined on Euclidean spaces?

@AlleyKatt

4 жыл бұрын

Seems to me... if you were wanting to convey a strict understanding of Noether's theorem then you would've gone heavy on the maths. But you were going for understanding a concept, so the only way I can truly consider your words to be "misleading" is if I'm just trying to be a ∆!¢k about it.

@erikawanner7355

4 жыл бұрын

#quarantineinvariance

@michaeldamolsen

4 жыл бұрын

Nothing to worry too much about, but I applaud the fact that you mention it :) I think the video was mind blowing enough without a discussion of Ward-Takahashi identities, but maybe something for a future video?

@yuotwob3091

4 жыл бұрын

It's gone too far to go back.

Honestly, as a Physics major, it's one of the best educational video about gauge invariance

@davidhand9721

4 жыл бұрын

You like this one more than PBS Space Time?

@brilliaurabillah8974

4 жыл бұрын

but it seems more understandable for wide (i mean people who not take physics major) audience than pbs space time

@Familia_nepal_nepal_do_mal12

4 жыл бұрын

@@davidhand9721 I think this one is better than what PBS spacetime did (and I think PBS did a good job). The lectures about this are usually terrible.

@dannyj4858

4 жыл бұрын

What are you doing knowing gauge invariance as a physics major lol

@DANGJOS

2 жыл бұрын

In what physics major are you learning gauge invariance? Seems like a graduate topic

I like how this channel goes into deep concepts. A lot of science channels scratches only the surface so that it's more digestible to the masses.

We had the meme:"Actually, Quantum Mechanics forbid this". Now, we have the new one!: "Quantum Mechanics requires this!"

@6900xx

4 жыл бұрын

I came to comment section as soon as I heard him saying that 😂

@s3cr3tpassword

4 жыл бұрын

Yea he even made it into a meme format with the placement of the words and choice of fonts too!

@jasonremy1627

4 жыл бұрын

Wasn't it Gell-Mann or someone like that who said something like "That which is not forbidden is mandatory" when referring to quantum mechanics...

@ronaldderooij1774

4 жыл бұрын

It's the virus that requires and forbids everything nowadays. The universe has changed.

@mtslybot78

4 жыл бұрын

@@ronaldderooij1774 its changing. always is. the footprint left by the common experience in the moment can't be predicted, and often is not as impactful, or the impact subverts expectation, in retrospect. But I agree that 'now' is very weird. 2016 was weird, too, and it rocked the worlds collective psyche. I'm tempted to suggest that moment in recent history forced the collective consciousness to discover its ability to adapt to the unexpected, and leaves us better equipped to accept and adapt to, and/or rebuild the structure that is absent in this extended moment of human experience

Awesome explanation on the local phase invariance. very nice/10

@Boog1137

3 жыл бұрын

Ah the cultured one himself

@zucc4764

2 жыл бұрын

nice

Anyone else lost af? I’d honestly appreciate a more in-depth lecture on this

@polychoron

4 жыл бұрын

I'm lost beyond fuck. But mostly because I can't math. All those greek symbols are just scrambled eggs. It's still very interesting, the parts I understood.

@davidhand9721

4 жыл бұрын

Watch PBS Space Time episodes on Noether's theorem. Also, same show has a good episode on this topic, called, um, quantum invariance something something... you'll see it. Much more in depth.

@TheJohnblyth

4 жыл бұрын

I think it’s becoming expected because of the format that you can slow down, pause or repeat anything that is bothersome. KZread can let you experience it all at half the speed if you like :) I’m going to have to do that with some of the earlier videos to get a better grasp of what was presented here.

@martifingers

4 жыл бұрын

Yes, I am very lost I am afraid.

@pronounjow

4 жыл бұрын

He said this is Part 1 out of 4.

8:44 finally a counterpart to PBS Spacetime's "actually, quantum mechanics forbids this"

I see you're a fan of kurzgezagt as well 😃

@Nevermind2010

4 жыл бұрын

He is wearing a kurzgesagt t shirt

@Helwdrokin

4 жыл бұрын

is the fist thing i noticied XD

@Helwdrokin

4 жыл бұрын

there a ting i nerver white corectly

@monikalala3810

4 жыл бұрын

Where did he get the T-shirt from? Kurz gesagt, or somewhere else?

@abhijitborah

4 жыл бұрын

Birds of a feather

*Watches the video lying on the couch and snacking popcorn* Nick : I don't know if you know this but humans are lazy.

@mldag1678

3 жыл бұрын

Same, I'm also SO tired so I didn't get all of it (I'll probably watch this again) but I still understood a lot of things, Nick is amazing

Yeah... this one's going to need several viewings! There has to be at least an hour's worth of material covered in under ten minutes. Still, I'm sure it's almost impossible to simplify this topic. Thank you for continuing to treat your audience as intelligent, rather than dumbing down for cheap view counts. Really appreciate that!

@ScienceAsylum

4 жыл бұрын

Yeah, this is a problem we all run into with quantum mechanics. If you remove the math from QM, there's barely anything left to talk about. That's basically all QM is.

@spacejunky4380

2 жыл бұрын

@@ScienceAsylum breaking down the math into intuition is hard to do. I follow the formulas when you explain what they are doing. When they are applied to the EMF I become lost trying to find the connections between the formula's parts and what is going on inside of the model of the field. I probably have to rewatch it to understand it better. When I really follow what's going on, I can see why you're mind is blown because I definitely have those moments too. Thank you for sharing your knowledge, I appreciate your videos.

It was an astonishingly efficient way of breaking down the fundamentals of a very complex subject. The usage of analogies is truly enlightening, not to mention that the structure of categorization you implement is perfectly consistent. I cannot express the value of your work properly. Thank you, sir!

@AmandaKaymusic

3 жыл бұрын

Well said.

Great video To be pedantically precise, Noether's theorem says that every continuous symmetry is linked to the conservation of some charge, but not all conserved charges are due to symmetry. Some charges have topological nature (if there were magnetic monopoles, their charge would be topological and not a Noether's charge).

@ScienceAsylum

4 жыл бұрын

Thanks for the pedantic correction. You're not the first to mention this. I just pinned a comment clarifying.

@yashagnihotri6901

4 жыл бұрын

As much my knowledge knowledge is concerned , magnetic monopoles don't exist ! Just for the sake of keeping the divergence of magnetic field Zero .

@michaeldamolsen

4 жыл бұрын

If you really want to be pedantic, I suppose you should say "differentiable symmetry" rather than "continuous symmetry" :)

@Ivan___Cunha

4 жыл бұрын

​@@michaeldamolsen That's a second order pedantic correction XD

@Ivan___Cunha

4 жыл бұрын

@@yashagnihotri6901, As far we know there are no fundamental particle with topological charge (like the magnetic monopole), but condensed matter have plenty of topological deffects with topological charges.

4:06 Oh, that's why we call magnetic potential with "A" then...

@shayanmoosavi9139

4 жыл бұрын

LOL nice one😂😂

@Lucky10279

4 жыл бұрын

Yeah that made me laugh.

I see Kuzgesagt T-SHIRT

That's actually a pretty funny thumbnail. It definitely fits with the character.

@FGj-xj7rd

4 жыл бұрын

Ayyy, thanks for the heart. This heart is also invariant 😅

@hoodedR

4 жыл бұрын

@@FGj-xj7rd so what is conserved

@FGj-xj7rd

4 жыл бұрын

@@hoodedR 🥴

@Darkanight

4 жыл бұрын

it's the first time I see "definitely" being spelled correctly on youtube this month. congratz. lol

@Zeegoku1007

4 жыл бұрын

@@Darkanight Lol. How ? At least for mobile users spell correction kicks in. 😂

There's a lot to absorb in this video. Concepts explained clearly infer a deeper intuition that I'm honestly struggling to process without having to pause the video. I think this will prove to be a video that is worth returning to multiple times as you incorporate all the nuance from continued study with the goal of deeper, but also more intuitive understanding. Good job!

I have been here since you were at 10k subs and even commented that you are one of the most underrated science channels. This video again just proves my point and I will see u again once u hit a million😉

I think the cardboard look for some of those drawings is absolutely darling! Now, this video will need a couple of viewings to let it soak in, but with the rest of the explanations of electricity & how it works, it really helps, because it goes to the subject from a bit of a different perspective. Thanks so much for that!

“We might not know what they are, but their behavior is described by waves of probability.” Exactly! I wish people would stop saying that electrons _are_ waves when the reality is that we don’t know _what_ they are. We do know how they _behave_ though, and that’s far more important.

@josephlombardo1246

4 жыл бұрын

idk electrons are electrons, and we use the mathematics of waves to describe their behavior. there is no need to figure out "what they are," only what their properties are. there is a sense in which it's not really meaningful to talk about "what they are" beyond excitations in a quantum field. At some level you reach brute facts, and you can only describe things in terms of their properties as mathematical objects but that's just the universe for ya.

@Lucky10279

4 жыл бұрын

@@josephlombardo1246 Yes, that's what I was saying. We don't _know_ what they are, but we do know how they _behave_ and that behavior is dictated by their properties. That knowledge is far more valuable.

@da_birdman6800

4 жыл бұрын

All particles are vibrations in a quantum fabric. This fabric is a 3d+1 hyperfluid "something" The theories that describe this are called Quantum Field Theories. Particles have no actual distinct dimensions. They are not balls or any solid thing. Their physical trajectories are fuzzy and that creates probabilistic shapes that vary but the corpuscular view of elementary particles is just an illusion.

@Lucky10279

4 жыл бұрын

I can't believe I posted this only a month ago! Over the past couple weeks I've become convinced that electrons almost certainly _are_ actual physical waves in quantum fields. That's so ironic! I don't know that I've ever changed my mind about something so completely in such a short time (at least not something I've spent so much time thinking about.)

@da_birdman6800

4 жыл бұрын

I had a hard time understand physics from solid objective prospective as a teen learning about science. My biggest issue is that each time you say a particle has an exact size and shape that begs the question. Well then what defines that object? More particles? At some point things must be vibrations or motions of some medium or fabric.

Outstanding video!!! Seriously clear and complete and among your best.

Awe inspiring. Can't say I understood more than ~25%, but hey....I always felt there must be something that would pin down the "arbitary" extra functions on the electric scalar and magnetic vector potentials. I suppose quantum mechanics would have to come in somewhere....Keep up the great work.

This is a great application of Noether’s theorem. I learned this in my upper division physics this semester so this was cool to see.

Great video as always! Lots of great stuff packed in here. Gonna enjoy watching it several times.

The quality of information and clarity despite being dificult topics (if one wants to truly understand them) is a great benefit to the youth. Thank you.

Definitely your most complicated video, but also fascinating. Thanks! And I remember that dreaded A vector from Electrodynamics. Makes me want to revisit it and give myself a better understanding.

@ScienceAsylum

2 жыл бұрын

Yeah, it's definitely a "core audience only" kind of video 😆

This will take a few views! What an interesting topic.

It's inextricably good to understand for those like me who always trying to grasp Quantum Theory from it's root. Thanks for this magnificent contribution of Explanation.

So complicated and also so simple(in some ways).I mean it's good to know what's around us and how it's work. Keep going ☺

That's a fantastic explanation of phase invariance. You covered a lot of ground in a single decaminute but I found it very electromagnetically illuminating. After the little teaser, I'm hoping for a video or two on relativistic QM - a fun challenge. :-) Thanks for all the energy you put into these videos. It's time well spent.

@ScienceAsylum

4 жыл бұрын

Thanks! 🤓

Anything: **is conserved** Emmy: "I have been called"

@Zeegoku1007

4 жыл бұрын

The woman I respect the most 😤🤘

@timbeaton5045

4 жыл бұрын

@@Zeegoku1007 well, it IS nice that her work has become better known over recent times. Groundbreaking stuff at the time, and underpins much of physics that we now study.

Great job covering so many key concepts in such a short period of time.

@ScienceAsylum

Жыл бұрын

Thanks!

You are the best Thank you ! Few months ago I saw Your video on The principal of least action and it got me so interested at your channel!

Your target audience is even Smaller than vsauce, kurzegat vertasiums physics girl and others.... because you literally talk actual equations

@manitro337

4 жыл бұрын

Alas, this is the reality of true education; boring as hell.

@chesterdomingo4590

4 жыл бұрын

I acctually appreciate the presentation of actual equations.

@mydearfriend007

4 жыл бұрын

@@manitro337 it's not boring at all

@ronanstephens1597

4 жыл бұрын

PBS Spacetime is where I go to learn new things about physics. Science Asylum is where I go to learn that I have to relearn what I thought I knew about physics.

@paulthompson9668

4 жыл бұрын

Adityachk2002 He found the sweet spot between Brian Greene and Leonard Susskind.

Who liked that he is wearing a kurzgesagt t shirt and used Vsauce's "Or is it?" at 5:05.

@ahmadnurokhim593

4 жыл бұрын

XD

Difficult to follow, but you’re excellent explaining! Thank you, Nick! Best regards from Brazil.

Great video! Superb explanation!! Thank you :)

Thanks for making that 'quantum mechanics requires this' meme so I didn't have to

Hi Nick, I m quite impressed by this video. I ve never come accross any vulgarization articles or videos about charge, phase invariance and EM gauge. This topic is thought to be too complex or mathematical to be explained. Many thanks for the effort of busting the white lies and dubious analogies we are told to simplify our understanding of physics. As a contrary I think the difficulties, the counter intuitive concepts and fine descriptions are the heart of seeing physics as logical system.

@5:17 you say something really interesting about how we don't know exactly what particles are, but we know they aren't spheres. I would love to see you make a video that explores what theories there are for physical properties of particles. Love your channel!

I always love your quantum mechanics videos.

No dislikes yet!! Edit:- This is the only video that made me scratch my head...

@rauldumitrascu4929

4 жыл бұрын

I agree. Straight to rewatching list. 😁

@afobear

4 жыл бұрын

Agreed. That was a lot of equation manipulation on the go.

@nadavdanieli

4 жыл бұрын

Yup, didn't understand a thing.

@timo4258

4 жыл бұрын

I think nobody understands why quantum mechanics rules are like they are. Hopefully one day we understand the underlying causes for all this.

5:00 Vsauce reference?

@lyrimetacurl0

4 жыл бұрын

Or... is it?

Your videos are great! I would love to see one covering the topic of why spin half particles follow Fermi statistics, and integer spin particles follow the Bose-Einstein statistics. Thanks in advance.

Nice way to precisely explain the fact that the charges of particles are really about relationships between the rotational motion of said particle & the overall motion of the local fields created by the particles.

Wow that’s a lot of mathematics covered in such a short time :O in my own videos I always end up abstracting the mathematics away a bit more for the sake of clarity, but it is honestly inspiring to see it not done like that, while still yielding a thorough and clear explanation! Awesome :D!

@ScienceAsylum

4 жыл бұрын

I don't normally have this much math in my videos. I've just been sitting on this video for a year now, tweaking it a little bit at a time and never being happy with it, so it was time to let it go. I needed to be done with it.

@FundamentallyExplained

4 жыл бұрын

The Science Asylum I hope you are nonetheless happy with how the video ended up! Not sure if it helps, but I think it is impressive to see gauge invariance, Noether’s theorem and the physical implications compressed into 10 minutes. That’s everything but easy, especially while making the explanation as understandable as possible, but I think this video does a great job at that :-)

@ScienceAsylum

4 жыл бұрын

I'm as happy as I was ever going to be with it I think. I don't think there was any way to make this an A+ topic. It's just too niche.

Not the first Not the last But when I see Nick upload . . . . . . . I click fast fast!!

@NoNameAtAll2

4 жыл бұрын

fastfast!

I havent watched you since you had like 3k subs im glad youre doing great and only on the rise.

@ScienceAsylum

4 жыл бұрын

Where have you been? 🤔 I hope everything is ok and it's just that KZread hasn't been showing you my videos.

Another amazing video! Thank you for changing my world!

3:35 I never noticed this before!

Dang it! Why did you upload this hour?! Now I can’t sleep and late for school Tomorrow lol

This video is packed with information and funny as heck. I am sure I will come back to this video many times.

Amazing content as always! Anyway i have to watch it a couple of times more.. It would be great if you can explain CP violation, it's still so obscure to me, please share some light on it!

2:20 "... my stress goes with quarantine invariance..." xD Great joke!!

5:00 Hey, Vsauce. Michael here

Thats so great and informative. Thanks The Science Asylum

Hey Nick! Iam really a big fan of you. I love your videos a lot. I always wanted a teacher like you. And the way of expressing the ideas is really awesome. I always wished to see you hit 1M and grow like veritasium and physics girl . So keep hope Nick . I'll see the day when u hit 1M very soon.

*Tesla would be proud for that thumbnail*

It's mid night and is saw your video and was like ... Let the morning online class go to hell .... Let's watch the video 😎😎 .

man this is one of the best videos you have ever made

I appreciate your hard work for explaining deeply.😊

“Hopefully that ties up all the loose ends.” 😂

@bigbadt392

4 жыл бұрын

That tells u a call of duty fan n u used gen. Shepherd's dialogue

Damn, how I would love to have a deep understanding of this 😅

I adore your channel, and *usually* I can follow. Not always 100%, not always first time through, but I can get it. This video, however... You need to make like four or ten videos unpacking each little bit. Please.

@ScienceAsylum

Жыл бұрын

I agree. This needed an entire series. It's too compressed.

Hell I learnt so much new stuff in this video! Please make more deep fundamental stuff like this!

I feel smarter and dumber after watching these videos. :)

@areallymessedupdude

4 жыл бұрын

Soo true

@nishtakasundass6669

4 жыл бұрын

Relatable

I think you are an 👽 alien send to help us grow. That explains the clones 👻

I just randomly learned about gauge symmetry last year on some podcast and I've been fascinated with it since. Are you going to do some more videos on gauge symmetry? I hope you do! Also I hope you're doing well during these stressful times

@js7244

4 жыл бұрын

I'm curious, can you share the podcast, i mean where can i get it, please?

I can't express how nice this video is. Well done

@ScienceAsylum

4 жыл бұрын

Thanks! 😊

Almost first... Yeah Edit: Science, Mr White

@hawtsauce2471

4 жыл бұрын

Yeah science, bitch!

This was spectacular and magnificent

I wish all teachers were like you.

Lol you have the impact font ready for Quantum Mechanics Requires This! Great video :O

Great content. Thank you👍

Nice :) a Nick classic! Noether's theorem is one of the most beautiful and fundamental things in math I am aware of. I love duality

@ScienceAsylum

4 жыл бұрын

Agreed. I love Noether's theorem.

Nice explanation bro👍

You are one of the best teachers I ever saw, took me just 2 views to get something I didn't even study in chemistry

I will watch this a few more times. Thank you.

I appreciate the list of resources. Beginning Nick Lucid's book now.

I believe I understood at least 3 words this time! A definite improvement!

Excellent! Charisma and intellect and a good sense of humor

I watched it twice, maybe even thrice with so many segments I had to rewatch again and again (my mind tends to wander a lot), and I'm still sure I do not understand everything. But that's probably because you compressed a whole course on fundamental physics in a 10 mins. video. There's a lot of info on the fundaments of Reality in this short video: it's thus extremely hard for any non-specialized human being. I'll rewatch a few more times probably: it's extremely good: a very dense pack of knowledge. TY.

@yashagnihotri6901

4 жыл бұрын

Yeah , being in 12th grade right now , obstructs my limited knowledge to understand the concept of 'Gauge' included in the video rest all was a bit easier to grasp. Probably today I will read about it (Guage or whatever it is )

Good stuff. Thanks much.

Sir , honestly I love your explanation thank you for this ♥️

@ScienceAsylum

4 жыл бұрын

You're welcome! 🤓

2:26 best part

You're amazing Doc

Do more of these types of videos, please.

This video made a lot of sense about notions I didn't fully understood 10 years ago, back in grad school. Thanks.

@ScienceAsylum

2 жыл бұрын

Glad I could help 🙂

This was a difficult one. I'm going to need to watch it a few more times. These videos are def shaking up my (lack of) understanding of how physics works

Great as always.

Absolutely TRUE!!!!!!!!!!!!! In so many senses of the way! Brilliantly done! Brilliantly seen! Totally clear!

I loved the video but you just show the symbols. Show a little more of the maths. Like just putting the gauge function in and show that it doesn't do squat to the original function. And give things some more mathematical sense. We really can't appreciate these topics without the maths. But its great that you are actually covering such an important topic that others just take as a given or shrink at the requirement of explaining. I am your fan. You bring me real value and cover the best, most useful and complicated topics. Thank You.

You could have used QFT, and used nother's theorem for the quantized dirac field, to get conserved quantities like spin and charge based which index of QM stress energy tensor is 0. This would also be a great explanation for relativistic particles too.

I think my knowledge is accelerating due to your vids, thanks man 😁

Mathematically deep video. Challenging,, but worth it. I'm subscribing because of this video.

Thanks for showing the equation

Guitar pedals circuitry and why speakers have a phase switch is a good reason to try and grasp a basic understanding of this interesting topic. Thank you for the clarity and humour that can make these great clips easier to watch more than once. Who programs the backing music?

@ScienceAsylum

3 жыл бұрын

Aside from my three-second intro song (which I made), the rest of the music is from the KZread music library (because I know I won't get a copyright strike over it).

Really excellent video !! One question/ comment.. Would it be better if at 5:25 was the wave-function was time-independent ? Otherwise, as seen at some points, the wave-function is zero for all the places which lack physical meaning (the particle instantaneous disappears)

I am a fan of science, you have the best way to engage even the non science people

I am happy to learn modern physics from your video.

You deserve much more subs