The Symmetries of the universe
Ғылым және технология
Why is energy conserved? What's a gauge symmetry? How were quarks discovered? All these answers in 15 minutes!
0:00 - Introduction
0:35 - Global symmetries
2:23 - Conservation laws
4:17 - Global symmetry for electrons
5:49 - Our real universe
7:42 - Changing point of view
11:23 - Local symmetry for electrons
13:10 - Conclusion
For more videos, subscribe to the KZread channel : / scienceclicen
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Alessandro Roussel,
For more info: www.alessandroroussel.com/en
_
To learn more :
en.wikipedia.org/wiki/Symmetr...)
en.wikipedia.org/wiki/Gauge_t...
Пікірлер: 1 000
A little precision at the end to avoid confusion : At 14:19 the symmetry which is referred to is not the color charge symmetry of chromodynamics (which is also based on the number 3), but the flavour symmetry. I've been a bit sloppy in the animation and the colors I've chosen might seem to suggest that this is the color symmetry (even though quarks do indeed respect the color symmetry) Many thanks to my friend Thomas who helped me write this video : www2.physics.ox.ac.uk/contacts/people/harveyt
@giftmanoff
3 жыл бұрын
"Access denied You are not authorised to access this page."
@ScienceClicEN
3 жыл бұрын
@@giftmanoff It seems the website is being modified at the moment, the link should be working a few days from now I hope
@physicschemistryandquantum810
3 жыл бұрын
Sir please tell how you edit your videos by the way your videos are really intresting and everything is understood there is a clarity of all topics
@SimulatingPhysics
3 жыл бұрын
@@physicschemistryandquantum810 I think he mostly uses After Effects to make the animations.
@altrag
3 жыл бұрын
@@hyperduality2838 Hm.. I won't say you're "wrong" per se, but that's a very sloppy and inconsistent set of uses of the term "dual". A few examples of different uses: - "Syntropy". No idea what that is. A bit of Google gives the only (real) definition as being related to psychology, not physics. Using "dual" to try and tie some (I'm guessing) metaphysical woowoo to real physics. - Gravitation is not "dual" to acceleration. Einstein's equivalence principle states that gravitational mass is equivalent to inertial mass. Both types of mass are related to acceleration in the same way (that's the whole point of the principle). Using "dual" just straight up incorrectly. - Potential energy could be thought of as "dual" to kinetic energy I guess, in the sense that they're typically written as opposite sides of an overall energy equation. Using "dual" in a slightly questionable but not totally incorrect manner. - Positive charge vs negative charge (and N/S magnetic poles and similar). Using "dual" to mean negation. - "Photons or light are dual". They're literally the same thing. Using "dual" in a rather non-sensical manner. - Bosons vs Fermions. This is probably the closest to the common (physics) use of the term "dual" you've got listed, at least if you subscribe to the ideas of supersymmetry. - Except that you claim Bosons are waves and Fermions are particles. Both types of objects are waves _and_ particles. What that means in any sort of intuitive fashion is anyone's guess still (all of those "interpretations" you hear about), but your assertion isn't quite right. What _is_ true is that Bosons have a symmetric wave function while Fermions have an anti-symmetric wave function. We can also state that Bosons are "force carriers" while Fermions are "matter particles", but that's starting to shift the intuition back to your original not-quite-right definition. The type of wave function is the important distinguishing factor. This particular little rant has nothing to do with your use of the term "dual" though. So yeah.. again, you aren't necessarily "wrong". Each use of the term "dual" you applied could be considered valid in their own contexts. The problem is that by listing a whole bunch of different contexts together, you're implicitly asserting that they're all equally meaningful and that simply isn't the case. (Though its a common trope among woowoo artists to try and convince people that their nonsense is relevant without doing the work that would prove otherwise by making implicit contextual associations to real work that has been done by real scientists).
You are explaining stuff much better than most other youtube channels. You don't add any unnecessary or disturbing things to the videos (no stupid jokes, no 5-minute spinning logo etc). You repeat the most important things in a non-disturbing way. Also the narration is great, it's not too fast and you make pauses, that help to better understand what you are talking about. Keep it up.
@ujjwal2473
2 жыл бұрын
That 5 minute spinning logo cracked me up 😂
@martinmartin3490
2 жыл бұрын
Sciencephile AI? Pretty enterteining.
@joaodavid2001
2 жыл бұрын
Maybe you could learn to make a compliment in a constructive way.
@user-hy6ew6hm5e
2 жыл бұрын
@@joaodavid2001 maybe you can learn what "constructive" mean. My comment was very constructive, unlike yours.
@ManyHeavens42
2 жыл бұрын
Your savings the world 😜
Physist: "It's too long to explain intuitively gauge theory and covariant derivatives" ScienceClic: "Hold my nuclear beer" How lucky we are to have you to explain us all of this !
@antoniocotarodriguez5732
3 жыл бұрын
Is pure gold
@guff9567
3 жыл бұрын
@@antoniocotarodriguez5732 Just because you turn up yr radio at the end of yr video, does not mean that u have made any sense, or that I have understood u. Try to concentrate on yr academic content, rather than just thinking yr some kind of flashy showman.
@theopantamis9184
3 жыл бұрын
@@LegendLength The laws of physics have certain local gauge symmetry. This kind of symmetry is "stronger" that what you know as classical symmetry (which are called global symmetry), it is called local symmetry: even if you change the gauge differently depending of where you are in spacetime the laws must be invariant ! And for fields with the phase symmetry (called U(1) gauge) it is possible only if you add another field (the photon field) connected to others fields to "correct" local change of the gauge in the laws of physics !
@DragonsFrogs
3 жыл бұрын
@@hyperduality2838 name checks out... REALLY likes duality
@scienceium5233
3 жыл бұрын
can i be a grammar nazi ? the spelling of physict is wrong.
Brilliant. This is what physics students need to stay motivated to study.
@joekeating1172
3 жыл бұрын
Agreed
@sdwone
3 жыл бұрын
Man! This series blows my mind! And I have an MSc in Theoretical Physics too! Excellent stuff... Well presented and easy to grasp by those outside the field! Let's hope that these uploads inspires the next Einstein, Hawking or Feynman!
@joekeating1172
3 жыл бұрын
@@sdwone your looking at him
@comodojoe59
3 жыл бұрын
Yeah, I find it fascinating now, in my 30s! My school didn't make physics and math very interesting at all
@axion6844
3 жыл бұрын
If you're a physics student physics alone should be enough to motivate you.
I always breathe a sigh of relief when he says "to understand..."
@vanessamarrero1147
2 жыл бұрын
😂😂😂💪💪💪✨✨✨
This channel is a marvel of physics pedagogy, animation and editing
@tim40gabby25
3 жыл бұрын
Hi. Perfectly said. Old uk duffer here, enjoying the ride :)
@sawc.ma.bals.
2 жыл бұрын
What is pedagogy
@estebanod
2 жыл бұрын
@@sawc.ma.bals. pedagogy is teaching something in a way that is easy to understand basically
@besmart2350
Жыл бұрын
what software and plugins does he use for his videos? How is this style of animation called?
Art meets science. Please never stop making these videos. They're amazing, intuitive, and captivating.
i love you man. first moment the music starts i am already in a good mood.
@KhalilEstell
3 жыл бұрын
+1
@ScienceClicEN
3 жыл бұрын
Ahah thanks, glad you enjoy the music :)
@zovisapphire
3 жыл бұрын
@@ScienceClicEN The music puts my brain in a very specific 'trance' if you will. Not sure how, but it makes it so I can process what's being explained and follow everything. Your pacing in these videos are also ON THE DOT. You give enough time to process but quick enough to the next thing so we don't lose our train of thought. This seriously needs to be shown to teachers and academics to show them the best way to throw information at our spongy brains! Maybe it's just me, but I've mostly had TERRIBLE teachers that either thought we would just get everything in the first explanation, or explain things in WAY too many different ways and going on tangents. That and my ADD brain don't mix well, however your videos + my ADD brain DO.
@paulhk2727
3 жыл бұрын
While we're at it: Does anybody have a link to this music?
@ScienceClicEN
3 жыл бұрын
It's on my SoundCloud : soundcloud.com/aroussel
This guy explained supersymmetry in 15 minutes better than University can accomplish in an entire semester... This video is a pure educational goldmine, I have no words to explain how I'm feeling right now...
@ObjectsInMotion
4 ай бұрын
He didn’t get into supersymmetry at all. This kind of comment is really dumb and getting old
@So5nic
4 ай бұрын
ok yapstein
Dude. This finally made all that abstract stuff physicists talk about such as fields etc as if it's an actual physical thing make sense to me. Thank you.
These videos are really inspiring and I think they make you want to know much more. It would be awesome if traditional education could be updated to include more visualizations of abstract concepts like this. Keep up the good work!
@florianjanus7654
3 жыл бұрын
Great. Want upgrade to VR Google to flight myself throught the video and see the laws of Physic. This animation education is great next step could be "Seeduction" to be a part of the animation. Thank you very much for your pioneer work. Florian
I'm soaking in theoretical and intuitive knowledge about physics like a dry sponge, it's my hobby since I'm a little kid. This channel just opened knowledge to me that I just wasn't able to fully grasp because I never went to colleague, I only partly understood the mathematical principles behind these concepts. Thank you for everything you did for us hobby physicists, great channel!
You are definitely going to blow up! For me, you're like 3blue1brown for Physics. I've been hearing about symmetry for ages and never quite understood it well enough for my liking, and then here you are. Such a complex topic yet you explained it so elegantly, almost as a matter of inevitability! I've been a fan since your GR visualization video, and loved the later series exploring the maths behind the pretty animations. This is how science communication should be like, as in at the end one should realise that even at the highest level Physics makes perfect sense and it doesn't have to be mind numbingly inaccessible. I once read a quote somewhere, like, if you can't explain something well then you haven't yet understood it well. There's surely a lesson there for pop scientists that for the sake of romanticising science either over exaggerate or use stupid analogies to dumb it down too much. You've found a good balance.
@ScienceClicEN
3 жыл бұрын
Thank you very much for the compliment, I am glad you like my approach. I hope you'll enjoy the future videos !
@monkieassasin
Жыл бұрын
That quote you’re referring to came from Richard Feynman
Do we have a Nobel prize for education?
@sawc.ma.bals.
2 жыл бұрын
Yes and this guy needs it
@sawc.ma.bals.
2 жыл бұрын
If he doesn't get it I'll sue 😇
@mikel4879
Жыл бұрын
Eagan L • For what "education"? Indoctrination with BS?😏
@Maverick2110
Жыл бұрын
@@mikel4879 you're the world champion for that
@lavanya8932
Жыл бұрын
He might get Nobel peace prize
That's the best ELI5 of Noether's theorem I've ever heard.
..and so the universe was symmetrical again. Weak interaction: Hold my CPT beer.
the best video about Noether's theorem I've found. Love how you tie in Mach's principle, GR, quantum field theory, supersymmetry very elegantly. The animations support the explanations very well too.
By far the best description of symmetry I’ve ever seen. I’ve read about it for years and have struggled with it as a concept. Most explanations stay at a very trivial level and just MoveOn. This actually explains what’s going on and why we get the science we do. Bravo good work.
Your narration is pitch perfect. No hyperbole, no giddy irrelevant references or sexual innuendo. Just brilliant, straightforward narration.
The legend continues! Now I got why there "is" a field.
Hi! I am a physics major and I am just studying for my QFT exam. This video helped me to understand the topic more efficiently than any of my university professors. Thank you!
@daylanization
8 ай бұрын
I can't believe this one didn't get a thousand likes!
This Chanel is just way underrated
@razeezar
3 жыл бұрын
It certainly is! No. 5 is one of the more popular floral fragrances. it makes a fine gift for someone special if perhaps we could interest you in this 50mL bottle?
@emanuelescarsella3124
3 жыл бұрын
@@razeezar 😂😂😂 best way to point out a typo ever! I'm going to keep it as it is so whoever will read these comments will still understand it and have a big laugh 😂 (you're welcome guy reading funny comments 💁)
It never ceases to amaze me at how clearly this channel is able to communicate complex scientific principles to a general audience. I watch a lot of very good science channels, but when it comes to communicating complicated ideas clearly, no one else does it better.
That must be the best video I have seen on the subject no unnecessary clutter and no conceptual oversimplification .Thank you
The way you explained the electron's symmetries with the mountains was the best explanation I've seen.
This is incredibly well put together. It has beautiful animation without sacrificing technical correctness and just the right amount of complexity that people of a wide range of backgrounds (from high school to physics major) can get something meaningful without resorting to exclusively elementary school levels of terminology. Well done!
daaaaamn. As someone who has casually consumed science related content on youtube for a while now, this unlocked a completely new tier of understanding for me. And answered some long existing wonderings, mostly about the arbitrary-ness of what seem to be the most fundamental aspects of the universe. It would be so beautiful, and reasonable, if everything came from one fundamental thing. Anyways, the setup and trajectory of this video were so expertly tailored, that I actually mostly understood what was going on. And that's an incredible achievement.
Holy... Im amazed at how you came up with such a beautiful way for explaining (and justifying) gauge symmetry. Thank you!
This is just crazy. I don't know how much would the production costs be but the results are remarkable, i wish i was not a student and would somehow pay guys for such a cool job. I can already see how much glad the next generation will be when they discover you.
Congrats on your Cambridge test results!
@ScienceClicEN
3 жыл бұрын
Thank you :)
@godara2op566
3 жыл бұрын
@@ScienceClicEN cambridge?
I've been binging this channel for hours. I'm a complete physics layman, but it's one of the most fascinating subjects in the world for me. These short videos are some of the best illustrations of these complex concepts I've ever seen.
You guys are a breath of fresh air on KZread. Please keep posting more such HIGH QUALITY content
This Channel should have several hundred thousands more suscribers than it has today. Good job science click!!
@chemfloflo6374
3 жыл бұрын
Actually, he has more than 250k suscribers in his french channel with the same content.
@a_c35
3 жыл бұрын
except he just made a video going on about assumptions as if they were fact. Physics does not appear to work the same everywhere in the universe, which is why there is a dark matter theory and the expanding universe theory to try to explain why things we observe dont appear to work how we would expect them to
I think this has just become my favorite channel
You explained Nother’s Theorem in a way even I could understand. I’ve been trying to get the underlying reason for months
Really clear explanation. This is the best science site on KZread.
Wtf the guy making these videos is 22 and can not only explain these concepts extremely well but also does the sound design and these killer animations.
Only suggestion is to just say symmetry instead of “a symmetry.” Had to do a mental double take a couple times thinking i heard a change of reference was “not asymmetry” when in fact it was “not a symmetry.”
I searched "time symmetry" and this dude ScienceClic said, "I'll do ya one better... ALL THE SYMMETRIES!"
I'm in love with this channel! See, a common person can also understand the language of our universe given that you as a teacher/prof first understands it well and this video is a proof of it. Professors and teachers should take notes from such a video!
amazing animations, great diction, simple yet comprehensive explanation... i am in love with your channel.
Outstanding video. Thank you so much for sharing the beauty of physics at such an elegant level with everyone. One of the best channels ever.
I love when that sound track starts and you know the proper physics explanation starts
To say this video is brilliant is a massive understatement. Your way of explaining things with accompanying visual animations is absolutely amazing. The animations for the different conservation laws are so clever, and tying the example with the airplane to the centrifuge was genius. Subscribed.
@ScienceClicEN
2 жыл бұрын
Thank you very much! I hope you'll like the future videos
simply superb
please explain super symmetry in a new video! would love to learn more!
@diamartin6865
3 жыл бұрын
yes!
@john3260
3 жыл бұрын
Not enough theories have been falsified to show that supersymmetry is the least false theory.
@Ivi-Tora
3 жыл бұрын
So until everything else is proven wrong, we can't know if it's mostly-kinda-probably-true?
@nathanb011
3 жыл бұрын
@@Ivi-Tora Yes. That is how science works. You do not put effort into showing that something works, but that it explains something that otherwise would not be explained. By falsifying other theories, you prove that yours is objectively more accurate to reality than others. You can prove that many things work with a certain theory without it being right, but you have to find just one flaw to know that it is wrong.
This is one of the greatest videos I have ever seen in my life, it definitely changed my way to understand complex sistems with easy examples and analogies, thank you for this
Am a petroleum engineer but this makes me wanna do quantum physics you are among the best tutors I've met thank you
Love this channel, i wish it had many more subs and appreciation
What a revelation! One that is so beautiful and profound! THANK YOU SO MUCH ScienceClic for helping me understand symmetries in theoretical physics!
My 2020-2021 absolute favourite channel
Excellent introduction, to build up to broken symmetries where the ground state of some field is non-zero.
@MouseGoat
3 жыл бұрын
assuming this symmetry stuff is how our universe truly is. I can only think that broken symmetries are just us having a wrong understanding of the bigger picture.
@ozzymandius666
3 жыл бұрын
@@MouseGoat Ever seen ice crystals form in water? That is a symmetry breaking.
Please explain entropy and especially entanglement entropy!
This channel ROCKSSS!!!!! I love your videos
Wow. This has to be the best explanation I’ve ever heard explaining the logic for creating underlying fields.
Thankyou Alessandro / ScienceClic Team, for the way you explained these concepts. You are my guru in physics....
Always happy when a new one of these comes out :)
Wonderful demonstration
All the effort you've put in really shows. Thank you so much!
keep making these! no one is going this deep clearly ! thanks!
I think that being symmetric is the definition of the laws of physics. They can't change, so whatever you do they should remain constant if they changed, they wouldn't be the laws of physics.
Oh my god, I really needed this. Thank you!
@rahatahmed3950
3 жыл бұрын
Funny how the first thing we call out to is “god”
Fantastic job! Best description I've heard by miles.
this channel is gold in YT world
Brilliantly done, great animations. Thank you
Amazing video. Never thought noethers theorem would be so intuitive
This channel is so good! All physics students should know about it.
This channel needs to get more attention. Best of the best hands down
Esse canal tem uma qualidade incrível! Ajuda a entender várias coisas. Obrigado *_= )_*
my boiii is back🔥 with symmetry and more importantly the covariant and invariant relationship with symmetry 🔥 damn good 🔥 I'll love to check up a video on the Action Principle, you came so close to that in this video !
great video! somehow you know how to answer the real interesting questions so simply. best educational channel in YT by faaaaar!!!!
I have absolutely nothing to do with physics, but this was dope! The graphics made it is so easy to grasp the theory's essence. I have never understood the word symmetry, better than now. Thanks! I am sharing with my little bro, who's a first year physics student!
wow I learned more than I ever did from a video on Noether's Thm
Thank you so much for your work. It’s so well explained, and the topics I’ve studied through more non-conventional methods are even more better visualized in my head. I may never have the time in my life to understand the actual mathematical language but it’s amazing to me that we can visualize it. Einstein had that special ability to visualize it in his mind AND do the math. You and your team are passing along that spark of curiosity to the next generation on the visual side. Hopefully you can spark a mind that can solve the quantum gravity problem mathematically and we can bridge the gap and have a new way to visualize this beautiful reality we are all in.
This is the best explanation I've found. Thank you! I was getting frustrated watching other videos that didn't actually explain it.
this channel quickly became my preferred one. Thanks!
"Ding" A penny dropped, i think I'm slowly grasping it, I just need a few more higher domination of coins to drop. Your explanation style is on point.
@bencressman6110
3 жыл бұрын
I think that's also kind of where the experts are at though, they just have the confidence of familiarity with the language and knowledge of what's come before. Their higher denominational coins are theorems that predict behaviours and tie together pieces that disagree. But at the end of the day, as a species, we just don't fully understand how the universe works. I just think that's so cool
You really deserve more subscribers!
This is amazing, because I feel like I'm finding out something totally new. With explanations about physics, I always feel that they are hiding things from me to simplify, but I want to know more about the underlying ideas (without complex formulae that I won't understand). I have questions here, too, but you go deeper than I've ever seen, while keeping the explanations immensely interesting. Super deep yet more understandable and illustrative than normal. I feel like I'm onto something with you. Honestly, I still don't understand much, but I can see that there is more...and perhaps something simple...underlying all of the insane complexity.
this is the best science channel I've ever seen
HI VERY GOOD ANIMATIONS AND YOU EXPLAIN ALSO VERY GOOD . I REALLY GET INSPIRED BY YOU
@ScienceClicEN
3 жыл бұрын
Ahah thanks ! Nice profile picture btw :p
@3Space1time
3 жыл бұрын
@@ScienceClicEN Stole from your video only 😁 Looked very nice
This is the first time i feel like i have understood how symmetry implies conservation.
best content I have come across recently on KZread. super compact explanation of overly complex concepts. thanks for the time and effort you put in for this. btw, what is the music in the background ?
Just brilliant! I'm amazed how such complex topic can be explain so flawlessly. Thank you!
And Emmy Noether developed this fantastic theory on her spare time 🤯🤯🤯
@hjs6102
3 жыл бұрын
yes, but her name is spelled with a german ö, like in bird (a little bit), not like an o ;)
@capoeirastronaut
3 жыл бұрын
In the sense that she was never paid for her mathematical work, or brief sojourn into physics where she contributed probably the single deepest idea we have. Spare in that sense. She was teaching university students, and collaborating on research with Hilbert at a university, so in all ways except pay she was a professional academic.
Simply amazing 💯💯❤️✨✨✨
@ScienceClicEN
3 жыл бұрын
Thanks :)
This is one of the better explanations of symmetry and its ramifications I've seen yet. Nicely done - this will help a lot of people.
That‘s literally an insanely good explanation of force fields, good job brother!!
That's genius !! I like it...
@ScienceClicEN
3 жыл бұрын
Thank you !
This guy just described in 15 mins how th universe is layered to create this existense we experience.
Why do you not have more subscribers? This the kind of content more people should be watching
This channel explains very well, I dont know why he's so underrated !!
Would you say that the force fields used to explain different frames of reference are real? Centrifugal force, for example, often gets dismissed as "virtual".
@ozzymandius666
3 жыл бұрын
A rotating frame of reference is a form of an accelerated frame of reference. GR's equivalence principle says this is the same as a gravitational field, ie a force acting on objects.
@theopantamis9184
3 жыл бұрын
I think we can say they are real. In this video, he doesn't mention it but photons have a self-interacting term too. So even if the photon field looks like a mathematical artefact, there are in fact other assumptions on its behavior which implies something on the electrons' behavior too. On example is that energy levels in are quantized in photon fields (hence photon is a particule), you would not expect that if it was just a mathematical artefact to change reference.
@ozzymandius666
3 жыл бұрын
@@theopantamis9184 No, photons do not have a self-interacting term. They only way a photon can interact with another photon is if it has a very high energy, high enough to interact with another quantum field, like the electron/positron field, and we're talking gamma rays here. Regular light, radio waves, UV, etc, to not interact with each other.
@theopantamis9184
3 жыл бұрын
@@ozzymandius666 you are right I didn't express myself well :) I was referring to the last free propagation term of the QED lagrangian. This term only involves the electromagnetic tensor (I badly used self-interaction here) so it tells us something about how the photon field must behave independantely of electrons. That's why I think we should say that electromagnetic field is not just an mathematical artefact, it has its own way to behave even in the absence of everything else.
@ScienceClic
3 жыл бұрын
@@theopantamis9184 Yes I think what can be considered as "being real" in this context is the existence of a kinetic term for the gauge field itself in the Lagrangian. This is what allows the gauge field to be a dynamical entity with its own equations of motion and propagation. The kinetic term is what gives rise to Einstein's equation for the curvature of spacetime, or to Maxwell's equations for the EM field.
Honestly incredible, would you be able to explain conservation of energy and charge the same way you did momentum and angular momentum, or do they not lend themselves to graphical interpretations?
@ScienceClicEN
3 жыл бұрын
For electric charge you can think of it as the "angular momentum of complex phase". And for energy relativity tells us that it's the temporal component of momentum, the time symmetry is a translation through time, and energy is the tendency that objects have to move through time.
One of the best things I've seen on KZread this decade
Beautifully Explained the complex theories... ❤️
I didn't understabd the conservation of charge . Charge is conserved due to symmetry of ? Can you pls tell
@ozzymandius666
3 жыл бұрын
If you multiply the Lagrangian equations of a charged particle by a phase change (ie e^i*theta), the equations of motion that one derives from the Lagrangian must remain unchanged; the only way for them to remain unchanged is to postulate that the electric charge is conserved.
@3Space1time
3 жыл бұрын
@@ozzymandius666 Thanks
@theopantamis9184
3 жыл бұрын
The electron field is like a field of little clocks, the clocks are bigger where the electrons are. The angle between two clock's hands physically matter on electrons behavior but where one clock's hand is doesn't matter. So you can rotate all the clock's hands by the same angle without changing anything on the physics law. This implies that the "overall speed of clocks' hands rotation" doesn't change: this is your electric charge which is preserved.
@ozzymandius666
3 жыл бұрын
@@3Space1time If you're interested, if you make the phase angle change theta a function of location( ie a local symmetry, as opposed to a global one), then in order for the equations of motion to be unchanged, a new term that corresponds to the electromagnetic field must be added to the Lagrangian.
That would have been amazing, if Noether had also found there was "no ether"...
I found this channel today.... Fell in love with the explanations
Truly captivating