Field Theory Fundamentals in 20 Minutes!

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Field theory is the mathematical language that we use to describe the deepest theories of physics. I'll teach you the basics in about 20 minutes. Get the notes for free here: courses.physic...
Take my full course on Lagrangian mechanics! courses.physic...
The most fundamental laws of nature that human beings have understood---the standard model of particle physics and Einstein's theory of gravity---are written in the language of field theory; quantum in the first case and classical in the second. The first field theory that you're likely to meet in your physics classes is electromagnetism, which describes the electric and magnetic fields through which light waves ripple all around us. But electromagnetism is actually fairly complicated; to learn field theory, it's better to start with a simpler example, and that's what I do in this video. I'll teach you the fundamentals using the Klein-Gordon theory of a real, scalar field. We'll see how to write down the Lagrangian, apply the principle of least action to obtain the Klein-Gordon field equation, how to solve it using plane waves, and how relativity is built in from the beginning.
We'll also take a peek at quantum field theory along the way.
Get all the links here: www.physicswit...
The principle of least action: • Explaining the Princip...
The Lagrangian for a special relativistic particle: • The Special Relativist...
The Lagrangian for a general relativistic particle: • How Einstein Uncovered...
Tutoring inquiries: www.physicswit...
If you find the content I’m creating valuable and would like to help make it possible for me to continue sharing more, please consider supporting me! You can make a recurring contribution at / physicswithelliot , or make a one time contribution at www.physicswit.... Thank you so much!
About physics mini lessons:
In these intermediate-level physics lessons, I'll try to give you a self-contained introduction to some fascinating physics topics. If you're just getting started on your physics journey, you might not understand every single detail in every video---that's totally fine! What I'm really hoping is that you'll be inspired to go off and keep learning more on your own.
About me:
I’m Dr. Elliot Schneider. I love physics, and I want to help others learn (and learn to love) physics, too. Whether you’re a beginner just starting out with your physics studies, a more advanced student, or a lifelong learner, I hope you’ll find resources here that enable you to deepen your understanding of the laws of nature. For more cool physics stuff, visit me at www.physicswit....

Опубликовано:

28 сен 2024

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Комментарии : 654

@kka107 2 года назад

Yes, I’m very very interested in learning all of it. Your channel is unique in that you’re able to teach very difficult topics in just 20 minutes and not only do you do it by giving us the big picture, but also by getting into the math. You’re helping us learn things in minimum time and with minimum effort. Thank you for your contribution.

@PhysicswithElliot 2 года назад

Thank you so much Koorosh!

@jacobvandijk6525 2 года назад

I recognize your remark: "Just want to know all of it". Had that same feeling years ago. But the immense amount of math you need to really study Quantum Field Theory lowered my interest substantially. What you see here is just the very basics. Read about Renormalization.

@kka107 2 года назад

@@jacobvandijk6525 I believe you. I think I’ll be ok if he skips the lengthy derivations and mathematical complexities as long as he can still help us see the big picture through math.

@jacobvandijk6525 2 года назад

@@kka107 I agree with you on that, Koorosh. The real mathematical details are only understood by experts, for instance at CERN. We, laymen, must be satisfied with the global contours of the field. May I ask from what country you are? Armenia? I'm from the Netherlands.

@kka107 2 года назад

@@jacobvandijk6525 Born in Iran, but have been living in the US for the past 28 years. I don’t have a physics degree. Still there’s a great deal of math in electrical engineering which I’m majored in. I always craved to learn modern physics but never had the time to do it the formal way, like by reading a textbook. Elliot’s short lessons are perfect for me. 🙂

@wayneyadams Год назад

10:38 Partial derivatives seem intimidating at first, but here is a simple way to understand them. By the way, this is how I taught them to my students. You are standing at the base of a hill. The slope changes differently depending on the direction you walk. You want to walk up the hill and retrieve your drone which just crashed on the hill northeast of you. Let's say the hill slopes upward one foot for every five feet you walk toward the east. This is like the partial derivative, it gives you the slope in the easterly direction only, ignoring any slope to the north (or south). You begin to walk east until you are directly south of the drone, in other words, it is due north of you. Let's say you walked 20 feet to the east. How high are above your starting point? That's easy, it's simply the slope (partial derivative) multiplied by the distance you walked. Remember that the hill rises one foot for every 5 feet you walk. 1ft/5ft x 20ft = 4ft. You are now 4 feet above your starting point. Now you turn north. At this point the hill is much steeper, sloping upward one foot for every three feet you walk toward the north. Again, this slope is like the partial derivative, it gives you the slope in the northerly direction, ignoring any slope to the east or west. This time you walk 15 feet to reach the drone. 1ft/3ft x 15ft = 5ft. You are now 9 ft up the hill, 4ft from walking east, and another 5 from walking north. You could have walked north first then east in which case you would have to know the slopes at two points, the first to the north of your starting point then the slope to the east at the point where you turn east. Regardless of the route you take, using the slope in one direction at a time allows you to calculate the height of each leg of your walk which you then add together to get the total height. Just like this imaginary walk up a hill, partial derivatives allow you to calculate changes in steps by calculating how the change in one variable affects the change in your target variable. The first partial derivative on the right side tells you how the field changes with position, while ignoring the position (just like we ignored the slope northward while walking eastward). The other partial derivative tells you how the field changes in time while ignoring any changes from position. In this way the total change can be calculated. Wayne Y. Adams B.S. Chemistry M.S. Physics R&D Chemist (9yrs.) Physics Teacher (33 yrs.)

@Naman...123 Год назад

Glad to see you Sir

@a.thiago3842 5 месяцев назад

I'm very bad at math, i have high difficulties in learning physics, maybe due a lack of will at same time. And i understood very well.

@joeybasile1572 4 месяца назад

Great explanation. Thanks.

@wayneyadams 4 месяца назад

@@a.thiago3842 Thanks, nothing makes a teacher happier than hearing that people have learned.

@wayneyadams 4 месяца назад

@@joeybasile1572 Thank you.

@Byron_Vega 2 года назад

The square is always so funny to me because the first time I saw it in a book I thought it was a symbol that couldn't load properly and I kept closing and opening the book until I decided to finally search for the "missing" symbol online and found out that there was never a problem. Please upload more, this was awesome!

@schrodingerscat7218 Год назад

d Alembertian, second partial with time. Shorthand.

@jpa_fasty3997 Год назад

This is about 2 lectures worth of work in the maths/physics degree I took. You presented it in 20 minutes, and I genuinely gained more from this than those lectures. Incredibly succinct and clear. Really good video.

@fuencisclobuenasfuentes4523 2 года назад

Superb work!!! As a physics student, I can say videos like these are extremely usefull for understanding the concept behind many tools we use. A lot of times this point of view of physical theories is lost in many textbooks in favour of mathematics and calculus (which is usefull too), so it’s extremely helpfull that people like you make this kind of videos. Pd: english is not my native language, so sorry for any mistake I might have made in the coment :)

@PhysicswithElliot 2 года назад

Thank you Fuencisclo!

@shubhsrivastava4417 2 года назад

There are many science channels on RU-vid which get into the detail of the topic but don't quantitatively explain the concepts. Since I like getting into the rigors of calculations, your channel helps me a lot in gaining interest in new topics. Thank you Elliot!

@SliversRebuilt 2 года назад

This is everything I've ever wanted out of a physics education. Thank you so much, man. Plus this video reminded me to buy in on your patreon now that my financial aid refunds came through (I certainly feel comfortable calling it an educational expense lol) May many more follow in your footsteps. Think of the things we could achieve with the fruits such efforts bear across even one generation.

@PhysicswithElliot 2 года назад

Many thanks!!

@jacobsilver2476 2 года назад

You've just taught the Lagrangian in the most straight forward and intuitive way that I've ever come across, and did it as a sidenote to a main topic. Thank you for your brilliant teaching. Keep up the good work.

@PhysicswithElliot 2 года назад

Thanks Jacob!

@Moleculize Год назад

@@PhysicswithElliotHello what math Should i specially need to learn to understand this video (especially the field theory part) I kinda know how to differentiate and integrate what else i need to learn? I will be happy if you can guide me

@debrucey 6 месяцев назад

Jeez, was it really? I couldn’t understand it at all 😭

@owen7185 2 года назад

I love how so many areas of physics and mathematics come out of something so elegant yet powerful

@Cowux 2 года назад

Your explanation is so GREAT. If I had these videos in my PhD years, probably I would not give up my journey in theoretical physics........

@finnfinn4736 2 года назад

Why did you give up?

@tomgraupner171 2 года назад

Please, Elliot, I need "the rest" for the other spins as well. All insights in this topic is wonderful! Thank you so much for your efforts !!!

@vsevolodnedora7779 2 года назад

Outstanding. I've heard tons of lectures on physics and field theory (I am a physicist myself), but this is just perfect. If I ever end up teaching this subject I will come back to this. Thank you.

@AngadSingh-bv7vn 2 года назад

Its incredible the quality of content you have created that doesn't leave any gaps in math or understanding. I'm beginning to look forward to every video you put out :) keep up the good work! Well maybe not a completely rigorous math lesson but definitely super motivating to check out your notes.

@pipea1512 Год назад

Absolutely incredible. Didn't think it could be possible to explain this topic with such clarity and conciseness while maintaining engagement through the narration and great aesthetics. Thanks a lot

@AndyGD137 2 года назад

This content is amazing, I can´t thank you enough for all this hard work and yes, we want to learn more about everything ;)

@PhysicswithElliot 2 года назад

Thanks a lot Andy!

@diraceq 2 года назад

This was amazing and super informative. Everything made perfect sense to me as someone taking the second term of quantum mechanics. I would love more of this.

@PhysicswithElliot 2 года назад

Glad to hear it!

@I-M-2. 2 года назад

Elliott, you are the best! This is the best and most coherent intro I heard of field theories. Your content is gold. Please do one on the Dirac field. Thank you so much!

@PhysicswithElliot 2 года назад

Thanks Gilad!

@MikeOxmol_ 2 года назад

Elliot, I love you videos so much that if you released a series of 20 lectures on any given topic I would watch them in one sitting. Absolutely brilliant stuff. On a side note, what's the tablet/software you use to write the formulas in you videos (at least the previous ones)? The letters always seem so nice and even, lines are always straight etc.

@PhysicswithElliot 2 года назад

Thank you! I made those with the app Procreate!

@TheCrunchyGum 2 года назад

Very nice video. I'm takin qft next fall and this was a good intro. The derivation with the differential of curly L broke the pace a bit since it wasn't immediately obvious what steps you were taking between subsequent results, but everything flowed smoothly otherwise. I hope you continue to make videos on the topics mentioned at the end. The videos make field theory seem very accessible with basic undergraduate knowledge.

@zeratulg 2 года назад

Perfect !! If it is possible to conduct two dedicated series, one for special relativity and another for general while diving into details , that would be great !!!! Thanks for these videos in all cases :)

@stefanogallina3643 2 года назад

Just discovered your channel and already binge watching all your videos. Keep up the amazing work!

@PhysicswithElliot 2 года назад

Welcome Stefano!

@Pro-ish 2 года назад

you are not worry about presenting the technical mathematical equations that underlay the theories of physics, this is fantastic !

@PhysicswithElliot 2 года назад

Happy it helped!

@Draginx 2 года назад

I've just started studying quantum field theory and finished my courses on general relativity and have been extremely curious about what is to learn and confused about how my professor teaches. I love this video. Please make more like these describing different spin particles, quantum fields and especially spin 2 fields. It's all so interesting. You explain extremely well and have amazing editing. You've earned a sub from me. Thank you.

@FermionPhysics 2 года назад

If you’re interested in spin 1/2 field I’ve made a video on it on my channel if it helps

@DanielGhamari Год назад

Your video was absolutely incredible. Thank you so much. And yes, I am tremendously intrigued by the other things you mentioned at the end and will deeply appreciate it if you make videos on them as well.

@saudyassin5352 2 года назад

Thank you so much for digging deep into the mathematics and showing all the intricate details. I am very excited for the course that you will be me making about classical field theory and Lagrangian mechanics. This course would be of great benefit to me since i am self studying physics during weekends when i don't have school work. High school physics does not bring me closer to understanding the fundamentals of this universe.

@PhysicswithElliot 2 года назад

Thanks Saud! I'm very happy they've been helping!

@zacwarnest-knowles9139 5 месяцев назад

Videos like this are what’s made me want to become a theoretical physicist. Incredible content.

@marcaurel1830 2 года назад

I'll take a course in classical field theory next semester and quantum field theory eventually so I'm definitely interested :). Great video btw

@PhysicswithElliot 2 года назад

Thanks Marc!

@sambhavgupta4653 4 месяца назад

You are the best explainer in Physics. Please continue making these videos! Thanks

@pacotaco1246 7 месяцев назад

You forgot your base e's at 16:30 This video is smooth, and the videos make reviewing graduate physics more fun!

@I_am_Dipanjan 2 года назад

Please do make a video on Einstein-Hilbert Lagrangian and Einstein's Equations.Anyway this video was awesome 😊😊.....

@sifeyanis591 2 года назад

I'm very grateful that I've met Elliott he's much better than my college professors

@PhysicswithElliot 2 года назад

Glad you liked it Sife!

@mikstern5471 2 года назад

Thanks for the fantastic videos. I would love to learn more about field theory and in particular about Dirac’s equation.

@NovaWarrior77 2 года назад

This man has so much strength.

@fazilnajeeb 2 года назад

hEY Elliot, first of all, i wanna thank u for making this video. This video was sort of a semester worth of content so beautifully presented. Keep up the quality. Also it would be kind of u to make more of this field theory videos. It surely be very helpful. I know its a tremendous work, but this is my request.

@PhysicswithElliot 2 года назад

Glad it helped Fazil!

@jonathanalexandremorazalme7495 2 года назад

I'm taking a one-semester introductory QFT course and your video just appeared in the recommended videos. I found it amazing! I've already subscribed to the channel to wait for the sequence!

@bingusiswatching6335 2 года назад

Absolutely amazing. I love how much you get into the nitty gritty of the mathematics. And your videos explain it so well, especially combined with the visuals. Great job man

@PhysicswithElliot 2 года назад

Thanks Bingus!

@mhinz80 2 года назад

I am honestly impressed with anyone who understood even a little bit of what this guy was talking about.

@sbrunetton 2 года назад

it's a king of magic !!! Thanks for these beautiful explanations !!!

@christopherkulink3091 2 года назад

Wow, I love it, I think you just filled a couple holes I had in my understanding, and answered some questions I’d actually been wondering about for the last month or so. All in all this was not only great in that regard, but I think covered the math pretty well and in such a way that I’m going to have to reference and rewatch this video several times as I keep absorbing everything here. Great work!

@PhysicswithElliot 2 года назад

Glad it helped Christopher!

@paulschmidt4095 6 месяцев назад

Thıs video is just awesome. Contrary to other pop sci videos that just tell stories and doesn’t explain anything this video helps people conceptualize both the mathematics and the logic behind this theory. Whoever makes these videos is pretty good at their job

@zachzanal1067 Год назад

Fastest 20 minutes in this year so far. Pls do make more videos on Dirac field in future

@frequency8612 Год назад

I really wanted to thank you because you pass by the mathematical developments in a logic way that really help to understand

@jaimeduncan6167 Год назад

It’s the cleanest explanation I have ever seen.

@kgblankinship 2 года назад

This is a very clear exposition of field theory; I got a lot out of it.

@PhysicswithElliot 2 года назад

Thanks Kevin!

@danielxf1353 Год назад

Amazing video, love the way you present the math!

@MrFischvogel Год назад

Please make a video especially about quantum field theory or maybe even 'Matrizenmechanik'. This was a very, very good video. Thank you so much, Sir.

@richard_darwin 6 месяцев назад

Wow the first part really reminds me of weighted residuals for finite element method but in reverse. Thats pretty cool

@janeclark1881 Год назад

Yes, please do add videos developing field theory and particle physics.

@trigocuantico 2 года назад

Its very hard to find the math on this like in this video, loving it!!!! I'm curious on applying this concepts, are you thinking on doing examples?

@teddymanguerra Год назад

Still amazed with the elegant presentation! Cheers!

@martineli15 2 года назад

I love when the math is presented because that's the true lenguage of this topics. Very cool!

@alexandreraulikneto3062 2 года назад

Please continue this series!

@doit9854 2 года назад

Just found this video. Great explanation of the topic. Beyond subbing, I checked out your Ph.D. Dissertation. I dove into a few chapters while skimming through it (where I could understand). Would love to have you teach us all about it. Thanks!

@alifeleparanj3688 2 года назад

I'll definitely be a patron to find more videos on field theory. Your channel is awesome

@kainajones9393 2 месяца назад

Yes. Field theory in 20 minutes for those who have taken calculus.

@77ferrum Год назад

I thank you for this presentation. I would be interested in how this theory leads to the existence of the fifth force and how this force makes possible to travel through time.

@nijram15 2 года назад

I didnt follow any field theory coarses during my physics education, but this video has the perfect pacing for me! I love it! I also liked how you connected it to the wave equation and plane wave solutions. As a now optical engineer I use Fourier optics to describe optical system and use very similar strategies to solve these. One question: the introduction of the harmonica oscillator potential seems arbitrary to me. What is the rational to use this?

@nijram15 2 года назад

And you got a new sub ofcourse!

@BlueSoulTiger 2 года назад

Lucid [in my view this is a big compliment as it's not attained so often. Excellent stuff Elliot]

@snehasismaiti342 2 года назад

Thank you very much for making us understand such a difficult concept in about 20 minutes

@PhysicswithElliot 2 года назад

Thanks Snehasis!

@prithwiraj1462 Год назад

Sir Please do more videos on field theory and symmetry conservation on Particle Physics ..It will be helpful for my post graduate coursework

@xavidoor 2 года назад

Excellent introduction to field theory! Thanks!

@joehitchen9311 2 года назад

Yes, please do show us more classical field theories!

@nellvincervantes6233 2 года назад

In hawking radiation or unruh effect, the particle being radiated is a photon (spin 1). Then why klein gordon equation is used to derive hawking and unruh temperature

@ieatbananaswiththepeel4782 2 года назад

Please continue on with complicated subjects like these! It’s hard to understand the resources elsewhere, so this video helped SOOO much!

@rodricrack1072 2 года назад

Please Elliot. Make a video explaining how and why each particle, model or theory has a different expression of the Lagrangian.

@vtrandal 2 года назад

Thank you! I became Patron today. Your teaching is absolutely refreshing.

@PhysicswithElliot 2 года назад

Thank you so much Vincent!

@punditgi 2 года назад

A mind blowing video! Many thanks for this and all your others. 👍

@PhysicswithElliot 2 года назад

Thanks Ezra!

@YossiSirote Год назад

The best video ever!!! Thank you!!! We want more! Much more!

@PhysicswithElliot Год назад

Thanks Yossi! New video coming soon!

@amirvahid7143 Год назад

Please post a video about Dirac-Lagrangian, Einstein-Hilbert, and Maxwell-Lagrangian.

@lachlananderson872 2 года назад

I loved the video and your channel, however I have one question. You got the Klein Gordon equation by minimising the action of the field and in your video about Lagrangian mechanics, you used the Euler Lagrange equation to do so. Is there any difference between the EL equation in that video and one which could be used in the case of a field? I though maybe a d/dx with the d/dt.

@PhysicswithElliot 2 года назад

The EL equation is just the general condition for applying the principle of least action with a general Lagrangian. The equation for mechanics is d/dt (dL/d{\dot x}) = dL/dx, and similarly the generalization for field theory is \sum_\mu d_\mu (dL/d(d_\mu \phi)) = dL/d\phi, where L is now the Lagrangian density and \mu is summed over the spacetime coordinates.

@lachlananderson872 2 года назад

Thank you so much

@mattstarbuck7484 2 года назад

I think that you should have a go at explaining something even more advanced than this, such as the path integral formalism of quantum mechanics and how it leads to Feynman diagrams. Keep up the amazing work!

@gani9176 2 года назад

Finally someone who goes into the math and that too in such a short time

@arasgoshayeshi9156 Год назад

The fact that i can even understand these stuff as a person who has just started physics shows your talent😂

@1495978707 2 года назад

Really good shit man. I would like some more explanation if possible on why the gradient potential is a thing, and what the field is, or at least what the field can be used to calculate. Because sure you can get a dispersion relation and model wave propagation, but of what? The field isn’t the same as a wave function which can at least be used to tell you measurement distributions

@bromanHenk1 2 года назад

Id love to see more on the notations you mentioned at the end of the video, and perhaps a full video explaining the different fields and their interactions!

@PhysicswithElliot 2 года назад

Check out my videos about the action for a particle in special and general relativity for a little more discussion!

@charbeleid193 7 месяцев назад

PLEASE FULL QFT SERIES I'M BEGGING YOU

@rahulmathew4970 2 года назад

Bring it on man, really excited!!!

@GaryBernstein 3 месяца назад

Please make videos for quantum & the spin details as you said

@g3452sgp 2 года назад

This video is great!! I want to see more videos about lagrangians of different kind fields like dirac lagrangian, maxwell lagrangian, and einstein hilbert lagrangian. Thanks a lot.

@jonetyson 2 года назад

The statement that the action is minimized (or maximized) is refuted by the counter-example of a statue sitting in a temple for a thousand years: Temporarily moving the statue up to the roof or down to the basement for a sufficiently long time (say another thousand years) before returning it to the pedestal will change the action by an arbitrarily large amount in either direction (as the potential energy change gets integrated for an arbitrarily long time), dwarfing the finite change in action that occurs while the statue-moving company is on site. This is why it is better to use the term "flat action", which is correct, instead of "least action", which is not. Furthermore, it is worth mention that in classical mechanics, what one really wants is to show that equations of motion in Lagrangian form are unaffected by changes of coordinates. This may be proved in general by using the chain rule for derivatives. The proof is not as motivated, but it has the virtues of being correct and simple, and worth presenting to alleviate doubts. This may prevent the more mathematically able students from simply dropping the class because of mathematical confusion on behalf of the professor. I'm not saying that the calculus of variations shouldn't be presented as a derivation, only that it's better to give an actual proof without the unnecessary assumptions and complexity.

@BlueSoulTiger 2 года назад

I'm keen on getting a better gauge on what a gauge is! All in the due course of time perhaps?

@varunahlawat9013 Год назад

Hello Elliot, congratulations for 100K subs!!

@KeithZSD 2 года назад

Thank you so much! This is such great video. I'd like to see all other related videos you mentioned. Thank you!

@PhysicswithElliot 2 года назад

Thanks Keith!

@doomstarks182 6 месяцев назад

Question. The light from the sun takes 8 bc of how the sun bends spacetime. If the sun disappears and spacetime goes back into the form it had before the sun was there doesn’t that mean the rays from it would reach us sooner bc the spacetime is no longer bent from the mass of the sun?

@gwenandersen6803 3 месяца назад

The difference in time due to the sun's gravity is incredibly small. Even for a massive object like the sun, the effect on the speed of light is minuscule. Scientists estimate that light traveling past the sun is only delayed by about a few microseconds compared to traveling through empty space. (says gemeni) ...so not too much of a difference we experience gravity mostly from earth so bending is mostly done by our planet

@Jack-py7zf 2 года назад

Hi I am a highschool student .I love physics . I personally find your vedios useful and informative .keep up the good work

@PhysicswithElliot 2 года назад

Thanks Kevin!

@federicopagano6590 2 года назад

The prview of the video has a formula with m^2 but it should say k^2 not the mass^2. Awesome video

@solitarygrimreaper 7 месяцев назад

please teach about Dirac Lagrangian, Maxwell Lagrangian and Einstein-Hilbert Lagrangian

@Taky055 2 года назад

I am not a phisycist or a scientist or any of that for that matter, but I had a sort of relevational moment not long ango. Since then I have spent time to observe something called time blindness in my condition called ADHD. The base of all that is properly identifying the the poles, extremes of anything and put them into a 3dimensional 9 corner point system. With that beeing said, and hearing time is relative and how it is connected to light, one big problem I have with all the equations, and that is existing in given timeline here and now. With adhd connected to brain waives I have found that our hyperfocused state is connected to our gamma brain waive. Thats the high freq suggesting to me speed. Thats covered in e=mc2 which for me translates as : right here, right now, to me. Now I saw that velocity came into play especially the relation to the observer thus creating the sense of time but for me this is still just now. So what if, I propose, light and darkness beeing only opposite to one another in any different time frame as now. So darkness is the space reserved for light, and/or the space it filled before now. Meaning existence of something can only be observed beeing definite here and now. Any time further or back could only be assumed and relative to the actuall time used, that assumtion hence the existence of said anything blurres. Leading us to memory, and prophecy as opposed to another as blurry as both can be! So not knowing anything about any of this I would say t as time implemented would leave us with: -tE = (mc2)t Does this make any sense at all?

@abrahamalebachew4133 2 года назад

so much enlightening! Thank you💖💖💖

@bdas641 10 месяцев назад

so good.. loved it.. please suggest a text book that is reasonable enough and not to hard to learn the math of QFT..

@leandronavarro554 2 года назад

I just suscribed and loved the video. Looking forward to watch the rest and waiting for more of your content. Greetings!

@PhysicswithElliot 2 года назад

Thanks Leandro!

@andrewbenbow9257 Год назад

Point to function is derived by linear z, but what if z as a function derived from mass is instead a measure of volume.

@pastorericardo 2 года назад

better explanation ever! Congrats!

@tedward191 2 года назад

Brilliantly explained, thank-you!

@PhysicswithElliot 2 года назад

Thanks Ted!

@AmrFoxy93 Год назад

I love this channel so much, thank u for ur effort dude ❤️

@otakarbeinhauer 2 года назад

Just another positive feedback comment. It's just the right level of "math vs ideas behind it" that I was looking for.

@Aloka145 2 года назад

amazing thank you so much ! helping me through my class of field theoretical aspects of GR

@aviahh 2 года назад

amazing video, this is a very tough subject and you make it very friendly! thank you for this great content

@8zczff491 2 года назад

Hello! I would also be very grateful, if you could do videos about the different Lagrangian forms, especially about the Dirac Lagrangian. Thank you so much!