Lagrangian Mechanics - A beautiful way to look at the world
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- เผยแพร่เมื่อ 31 ก.ค. 2024
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Lagrangian mechanics and the principle of least action. Kinematics.
Hi! I'm Jade. Subscribe to Up and Atom for physics, math and computer science videos!
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Wanna learn more about Lagrangian mechanics? Here are some excellent sources:
American Journal of Physics, Vol. 71, No. 4, pp. 386-391, April 2003
www.eftaylor.com/pub/newton_me...
• Classical Mechanics | ...
Script written by Jules Rankin @Jules_Rankin
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Helloooooo there is a little message for you after the ad at 11:04 🤗
Great having you as a physics model 😁😘
Understood perfectly, and I didn't study Physics at university - definitely accessible to me at least!
Never studied physics, but enjoy unravelling these mysteries through the many wonderful STEM presenters on youtube. I have used your videos, on occasion, to help my four high school sons grasp a concept they were struggling with. It does work, and you are appreciated. 😁
@@csredmond518 wow that's lovely to hear!
I'm an engineering-physics major so I understand a pretty good deal of your videos. But damn, you make this type of difficult content far more accessible and easier to understand than ALOT of professors I know. Keep up the good work Jade, but don't forget to spend time with friends and family.
I am a bartender who hasn’t pursued any science education since high school 5+ years ago. I still come here and am able to follow each of these ideas without any prior context. They are fantastic, thank you for making learning free and accessible! : )
SP33DDY7 Yes it’s great. I’m a 43 year old who was told not to do Physics GCSE as I wasn’t good enough but I really like learning about it.
Are you any smarter than AOC? Cause thats not hard. Maybe you could replace her as youre probably more qualified anyway. And being worse than her would be near imposible
SP33DDY7 I bartend too and decided to go to school a couple years ago (been bartending for 9 yrs now) and am majoring in Physics and I must say, it’s easier said than done but when you have the passion it’s worth the effort! I’ve failed a few courses here and there too, but words of advice is it does get more difficult the longer you wait to get back into the sciences.
that's the power of a youtuber who isn't trying to prove their worth, but one who means only to simplify an idea in its most palatable form. Powerful things basics.
@@dvaVivyYou mean you wish Brilliant made learning free and accessible,
or do you mean you wish Brilliant had bartending courses?
Seems like my social life also obeys the principle of least action
Mine too. Ever thought that everyone in life is actually 100% composed of particles that are all obeying the principle of least action? Therefore so are you and me. But thanks to a great illusion, we think we have some control. We are really all multi-dimensional vortices, obeying a higher order form of the Navier-Stokes equations.
You are not alone
my toilet obeys the principle of least flushing
You must put more time and energy into it
@@lyrimetacurl0 But in order to say that we are wrong when "we think we have some control" (which you did not actually say), we must have a solid understanding of what "control" is
Speaking as someone who got a BS in physics decades ago, and who had a career as a CS prof -- amazingly clear and lucid presentation. Thanks!
As I know Bachelor of Sciemce as B. Sc., i frist thozght of Bull Shit instead of Bachelor of Science, so you had me on a loop for a few seconds😂
@@JonathanMandrake sorry, didn't mean to confuse!
@@JonathanMandrake You ever the old laments about degrees? BS obviously is interpreted as bullshit, MS is "More of the Same" and PHD is "Piled Higher and Deeper" :-) Or... "what else has degrees? A thermometer - and you know what to do with that"
Strangely enough - I discovered these words of wisdom written on the blackboard of my High School's math office in 11th grade.
hi, i am goind down the same path, with physics and cs after that, can you recommend? what kind of jobs do you do?
hey there! current physics major here. I'm taking a course on this stuff next semester and I love how simple and digestible you make everything, it really helps me build the foundational conceptual knowledge I need for these courses bc professors tend to skip over that part and go straight to the math without ever explaining the why or how. keep up the good work!
One like for the "Pierre de Fermat" in French :D
3:08 weird flex but ok.
One dislike for Leibneees. /jk
But then the pronunciation of Aristotélēs :D :D :D
I really like your style of teaching physics, keep up the good work!
thank you!
I think the same
I gree
I agree. keep up the good work.
Hey, I'm doing my PhD in Meteorology now and I'm been watching physics videos on TH-cam since I'm a teenager. I'm sure you're one of the best. Keep the good work
A long time ago I had to demonstrate the Principle of Least Action in a Classical Mechanics II exam, one of the subjects of my doctorate. It's amazing how profound this principle is, providing the basis for several conservation laws in physics, including the strongest of all: the conservation of energy. In addition, this principle is also the basis of mathematical structures such as poisson's parentheses that later, in quantum mechanics, give rise to the mathematics of commutators... Currently, in the higher courses of Classics and Quantum that I teach at the Faculty, when I talk about conservation laws, I point directly to the principle of least action. the universe follows this principle mainly for the propagation of light...
Excellent explanarion.
Nicely done.
Once in a while, I come across people as radiant as you are which makes me tear up a bit with happiness! As someone who was on the path to being a theoretical physicist a few years back and betrayed that beautiful aspiration due to circumstances, I have a lot of love for Physics and guilt for abandoning it. It has been a lifelong belief of mine that the world need more people of Physics, and you, Ma'am, are helping to create that world by your lucid explanations of complicated physical and philosophical ideas. You have earned yourself another subscriber today:-)
Exactly my feelings.
Plus using it as inspiration for my philosophical debates with laymans!
How "simply" share our understanding to the duality of complex AND simple at the same time universe.
@ It is always amazing to know that there are kindred spirits out there:-)
Great, isn't she? I went on to do politics w/ sociology at uni but I still love physics. Jade has a real love for the subject and I'm glad I came across her. Just recently but now i'm a subscriber. She's collected some real groupies, unsurprisingly.
@@ModernSocialist True:-)
I AM 65 nd atended physic clas 42 years go/ kept on rading Russian popular science books and am still interested in understanding the stuff!
- Explaining a difficult concept in an intuitive way
- Stating you're not smart
These are mutually exclusive
Please continue with the first!! I love it
She just said she's not a "smart super-elite genius". I am not a true genius either, but I know I'm generally smarter than the majority of people (maybe including her, but I can't tell for sure). That doesn't mean that I'm any more effective at life though. I just take a different path.
@@lyrimetacurl0 ...the path that minimizes action! badum-tsh!
@@lyrimetacurl0 Arrogance always shows who are not so smart that one thinks of about itself....The most brilliant people I have ever known have been the ones that never consider themselves as so intelligent ones.
@@GIFPES Are you saying arrogance and intelligence are mutually exclusive? Because that would require some sort of proof. Why can't a smart person be arrogant?
Also, how do we define "smartness" and "intelligence"? Are they the same thing or different? Is "smartness" how much we know and "intelligence" how capable we are at learning new things (like IQ)? Would be interested to hear your thoughts.
@Evi1M4chine Yes, that's what is called "proof" in real life.
"I am open to have my mind changed."
Beautiful.
I am so in love with this video because it is not afraid to ask questions like "does a light particle really choose anything", most physics arguments make unintuitive assumptions and this video is not afraid to tackle them ❤
It is really refreshing to see a physics teacher emphasize that physics is a model and we don't really know the clockworks of the universe but that doesn't stop us from modeling it. Thanks @upandatom!
Well yes we don't reallydescribe the workings, just the effects of the workings and how to predict their actions. Sometimes we try to suggest what the workings are, but it's really rather irrelevant so long as we know what they do.
That's also an important point when it comes to math: most math has clear analogs in the real world so it's easy to confuse math with the real world. In reality, math is an abstract symbolic language that has been cultivated so as to be useful for real-world purposes. Almost all concepts in conventional math find direct representation in the real world: integers, fractions, negative numbers, and so on. About the only thing that doesn't find direct representation is imaginary numbers, and that's the point at which one needs to recall that math is a useful abstraction but is not interchangeable with the real world.
My favourite memory from university was a lecturer ranting and raving about how the many worlds interpretation was an absurd interpretation of quantum mechanics, and how it was ridiculous to choose that over the Copenhagen interpretation -- and then in practically the next breath casually mention that the Copenhagen interpretation is also a non-physical mathematical tool, and not a literal explanation of reality.
Guess that's why a lot of great Physicists and Mathematicians were also Philosophers.
Re: "Physics is a model"
Physics is a map, while reality is the territory. We do our best to describe the territory, and while maps can be accurate, and there are many ways to draw maps, they are distinct from the territory. Same with Physics. It's a description of what we think about reality, but it is not actually reality. It's just a map. It's just a model.
Great video!
Also like maps you often have to make choices of what you want to show. A road map would be useless for someone trying to find mineral deposits etc. There are also choices about how accurate to be, the only perfectly accurate map would be the size of the area it's trying to show but well that's not a map and even then said place would be constantly changing and the map could never keep up. You can use smartphones with zoom but imagine trying to navigate highways with the map permanently zoomed into pedestrian level, you could do it but ut would be tedious and you don't need that accuracy. It's just how in physics you could use quantum mechanics to try to model large systems but it would be pointless because classical mechanics does the job just alright. And in a similar veing technically mechanical mechanics was proven wrong by Einstein but it's way easier and simpler to use for most jobs and it works.
I think it is safe to say that models are a part of the reality of consciousness, which means models are a part of reality. Another approach to that argument is that we are a part of reality, and it seems intuitive to imagine that our thoughts have validity in reality, not just an approximation of it. It's much easier to work under the assumption that everything is an approximation of reality, and it works well as long as your purpose is clearly restricted, but looking at reality as a whole, even an "approximation" is a perfect part of reality, and great value can be gained from a general contemplation of those "approximations"
you are onto something except what are you getting at? what is the territory like ??
From now on, I am using this description for science.
Thanks S.Death, very cool!
*Physics Is A **_Predictive_** Model*
( *_That's Always Being Refined_* )
Once upon a time, maps were made by explorers estimates and were ridiculously inaccurate, if not completely fantastic (Here Be Dragonf).
Then scientists started using tools & precise instruments (Measuring Rod, Compass, Roman Hodometer, Sextant, Portable Clock, Theodolite, Radar, Lidar, GPS, etc.) to measure out the seperate parts & different aspects of the maps.
Little by little, the accuracy & resolution of our maps have gotten better. Now we can set out on a journey knowing not only how to find our destination, but also the most efficient route, the best vehicles to use for each terrain & so on - all with a level of precision down to the millimetre.
We can understand that there are both parts to our maps that previous generations never even looked for and parts that the current generation has yet to know. There simplified maps which we use in our day-to-day lives & staggeringly vast & complex maps (perhaps far beyond the comprehension of all but a very few genius minds) that combine everything that we know about a territory into a singular construct.
The map, & the territory it describes, grow ever closer over time, but there will always be a difference between the analogy & the reality...
I didn't finish high school but loved physics and was a straight A student until year 11. I love learning in general and stumbled across your channel recently. I'd say you do an incredible job of making complex material friendly and approachable. Your animated dialogue adds to the delivery and helps with engagement. I'm certain this channel will continue to grow, serving many students of physics and broadening perspectives and understanding for many. Many thanks for the time you put into this.
I seriously appreciate what you do on this channel. I'm a recent CMPS graduate and I've always had an interest in Physics and Philosophy. So all the topics that you talks about really seem to hit home for me. I enjoy pretty much everything from your thought process to the illustrations that are in the presentation. Thank you for what you do!
I’m glad Tom had you make a video on his channel otherwise I wouldn’t have discovered this wonderful channel!
as in Scott?
@@lyrimetacurl0 yea
Well that came full circle
Surprisingly, I found this channel in the recommendations next to one of PhysicsGirls's videos.
Back then this channel had a different name that kind of sounded like "Physics Girl" (totally forgot what it was).
Then some boring people pointed this out so Jade changed the name to Up and Atom. Which turned out to be a better name.
Later I've seen Jade help with some Physics Girl videos (you could recognize her art style), then finally saw her on Tom Scott's channel.
She's been through a great journey 😁
You do a “Feynman” job of explaining ideas in Physics. Keep adding to, while I am catching up.
Nice comment, Fyneman was known for being an excellent teacher, and his lectures are still used and referred to heavily.
Jade anytime you and Mr Feynman are on the same page is a good thing.
I am so gonna use that sorry for stealing that pun ;)
This is my favorite channel these days. Thank you for your amazing work!
Far and away you make things easier to grasp, Jade. You are doing quite well. Your enjoyment is contagious.
I just learnt it yesterday in the university! And you made a video :D
😊
This woman seems to be made entirely of charisma.
She lost it when she pulled her french hubby out of her hat.
I loved all the other parts though.
She has the best accent
I look at her up and down, see a strange lass with lots of charm from bottom to top.
Or maybe she is made of fake auto-generated comments. I cannot believe people still fall for this in 2019.
@@zackfair54
Fall for what?
I have a middle school aged daughter and your videos are very accessible and relatable for her, as well as someone like me who felt completely overwhelmed by physics class as taught back in my high school. Thanks Jade!
Using Lagrangian Mechanics in continuum mechanics right now and this is such a nice, brief and comprehensive introduction to the concept. Thank you!
Thank you for your clear verbiage and visuals. I found myself for the second time grabbing a screen capture of the math, which flashes on for a second or two. So even the math is accessible if you look.
Your videos are perfect for me. Love extending my physics knowledge with what has been learned since I graduated and taught physics. Thank you!
“Your videos are simply brilliant, enlightening and works of pedagogical genius ...what passion, what infectious enthusiasm - great job, keep it up”
-this remark is by a theoretical physicist.
wow thank you :)
Watching this 3 year old video and I've got to say - still relevant, perfect level, highly enjoyable. Glad you kept going 😊
I've seen thousand of Brilliant ads, but today is the first time my mind was stretched enough that I am really interested in subscribing. You really got me thinking, and at least in this video it was at the perfect level for me.
I'd love to see the sources of the lectures you spend time watching too.
This channel deserves more veiws for following reasons :
1. The content is solid
2. Animations and drawings are really good and sometimes hilarious
3. She has done collabs with big and famous in this niche
4. She is beautiful and pretty
Loved the analogy between the car and light particle. The graphics are nice and simple but really helpful to understanding. I studied physics at school and at uni a bit. Didn’t continue with it but still very interested. You’re a really good teacher. Look forward to more - particularly about theories, equations, models etc that challenge us to think differently about reality. Keep it up! Thanks😊
Thank you for this video. It did so much to give insight into understanding the view of those that actually know the math behind the physical talks I enjoy so much as a layman.
A totally new way of understanding those explanations has been opened.
I’m a senior in high school and I really did enjoy the video really made me think. Especially when you mentioned how nature always seems to choose the path of perfection. Really weird when you sit down and think about it. Reminds me a lot about entropy and how the world is seemingly perfectly imperfect
Oh, Jade, you are absolutely ace! I've been watching your vids for a couple of months now and I love them. Don't worry about going too far... I did humanities and I can follow you pretty well. After all, your happy enthusiasm is deliciously infectious! Totally love your stuff! Keep it up like this and I'll keep right on watching.
I came across your video yesterday. They are so good that i keep watching every video after another for 1 - 2 hours!
Fantastic vid as always. I flatter myself with understanding the concepts you convey. It seems as if I suddenly grasp really complex topics.
This was such a fine explanation, thanks for this jade!
You are such a good teacher!! Thank you Up and Atom.
Such a great video! I started an online course of Statistical Thermodynamics and I was struggling to understand this part of it, but now it makes so much sense! Thanks, really
this is my new favorite TH-cam channel. everyone should too. subscribed! thanks Jade 🤘🏽
Thank you so much. No formal education past high school and this was completely understandable. I desperately seek more stuff like this video.
This is such a great video! I would like to see also a video on how the principle of least action leads to the symmetries of nature which are the basis of conservation laws. You are one of the best way explaining things, and I think this may be the most important and fundamental topic of all!
Wish I had teachers like you when I was in school. Regret for having missed such interesting ways of perceiving all natural phenomena.
Thank you so much for this video. I m doing my masters in physics and for the first time I have lagrangian formulation of mechanics and its been 2 month, and its been chaos in my head and for the first time I could develop some imagination of what might be happening, this video was a boost that I strongly needed. Thank you so much great work.
This is awesome! I would love to see a similar conceptual explanation of Hamiltonian mechanics.
One of my favorite 'least action'-like phenomenon is simple soap bubbles. Singular bubbles, the surface tension makes them spherical. When several cling together, the faces/edges start getting more complicated shapes, but it's always the shape of 'least action' or 'lowest energy level'.
Nice videos, I just discovered these and currently binge-watching. :)
You asked for feedback and about your viewers. I'm in my 60s and only got to high school physics but I have an insatiable desire to learn and I'd rather watch an educational video than TV. I confess your smile and your accent make your videos easy to watch, but that would only hook me a few minutes. I enjoy your videos because you have interesting topics and a gift for making things very clear. You obviously are well educated but your style is very approachable. What I think is the critical factor though is your obvious passion for the subject. By far the greatest presentations are full of infectious passion that reals me in. There is nothing more tedious than an instructor devoid of passion and nothing more exciting than following an enthusiastic explanation to the next step. Your channel feeds my mind in a joyous fashion. Thank you.
This was the first video I've watched on your channel but you did a splendid job explaining the topic.
Thank you for existing Jade, you make physics easily digestible for everyone. Great channel, wishing you every success.
thank you ^.^
"Camelot!" "Camelot!" "Camelot!" "It's only a model." "Shhhhhh!"
Who are you who is so wise in the ways of science?
These videos are amazing, all the info is truly great. Nothing went over my head, your ways of thinking enlighten me.
Thanks for the video.
This video should be the opening video at the start of every Lagrangian Mechanics 101 course conducted on the planet !
Simple, yet Deep and Brilliant.
Your intuition are the best way to explain things... you're completing your motive
Jade!
Congrats in advance for 100k!
Your videos are not going over my head, they're going into my head just as intended! Thanks for keeping things simple.
I have been studying physics for a long time and that is THE best explanation for the principal of least action I have ever seen!!! Wonderful!
I suck in math, I studied biology. Your videos are super accessible and fascinating!! I can't stop watching :D
Jade you are a total science communicator ROCKSTAR! I discovered you only. approx 48 hours ago and so wish it was much sooner.nl/.Please don’t stop you’re brilliantly understandable and just freakin greatly entertaining videos. re knowledge about how crazy crazy non-real reality is and isn’t is...nl/THANK YOU😊
Beautiful videos! I really enjoy them. I am a retired chemist, but always had a love for physics. Thanks for your work!
"The Universe is under no obligation to make sense to you" -Neil deGrasse Tyson
Yes, it is by God will.
@@amoonra8385 are you saying you have a obligation to understand "God will"
because sound like you got a pretty big ego then.
"The God will is under no obligation to make sense to you" = "The Universe is under no obligation to make sense to you"
@@MouseGoat I dont understand sir?
@@MouseGoat no, he is saying there is a rational Being (namely God) who created the Universe, therefore it is imbued with some of His characteristics, and one of those being "rational", the Universe has a rational sense. We being rational creatures (although obviously limited) can also understand this rational structure in the Universe, to some degree
@@MouseGoat hahahaa good point, you bridged two ideas very elegantly.
_"...I'm going to try to convey to you the gravity of this statement."_
*Wow, that's HEAVY...😝*
In my current Space-Time, I'd say that's deeper than a black hole.
"There's that word again. 'Heavy'. Is there something wrong in the future with the earth's gravitational pull?" ^^
Wow! This felt like a little piece of art! I enjoyed it the same way as I did when I watched Discovery documentaries when I was younger, even though I have an exam tomorrow. It felt more like taking a break, than studying, but you gave me some crucial insight into the principle of least action.
Really great work. Thank you. You got a new subscriber. :)
wow that was such a GOOD video!!! I was so confused with lagrangian mechanics and it helped a lot
This video is great. I would like to learn more about Lagrangians. Thank you for posting this. I am an infectious disease physician with a background in physical chemistry.
Love the topic! Lagrangian and Hamiltonian mechanics are way underappreciated by the non-physicist lot.
when i first learned about it, the brachistochrone helped me understand many things about general light behaviour and speeds and shapes and roads that didn't make a lot of sense to me. i'm glad you put it in such a nice way and how it's unique to your own method of explaining things to yourself.
Great video. The statement "physics is a model", resonates so much with me and puts me at ease with endless number of paradoxes out there.
I think the idea behind the Lagrangian and the principle of least action is one of the ideas that blew my mind the most. I think I had to think about it for months. Well what I like in it is its simplicity. Just give me a Lagrangian, I'll tell you how your object/particle will move. For most of the physical models. It's so simple I can't tell myself it could be wrong.
Moreover, the Noether theorem, as a consequence of it, represents a huge advance in my comprehension of physics. This theorem is really beautiful, and found by a woman.
Was the second thing that blew my mind most about bachelor-level classical mechanics. First was being asked to derive the equation of motion for some arbitrary rotating reference frame, getting a normal looking answer plus a bunch of garbage, checking my answer and seeing in the book, "Oh, by the way...those last three terms are sometimes called the Euler, centrifugal, and Coriolis forces."
I can still remember that feeling of "Hu-whaaaaa?"
The video didn't say it explicitly, but the simplicity mostly lies in the fact that setting the derivative of the Lagrangian equal to 0 gives the equation of motion. Reason? This calculates the minimum of the Lagrangian, which is the solution by the Principle of Least Action. So, take any isolated classical physical experiment, and you can get orbits, trajectories, and other equations of motion just by setting the derivative of the Lagrangian to zero. Of course, this ignores Chaos Theory, but that is another story...
This is one of my favorite videos about physics and science in general because your ideas are both deep and clearly stated. Newton, Lagrange, Hamilton, and Einstein are only making models, not truths. The models are good and should be trusted in the right contexts. So long as people appreciate the context in which models operate, we can make progress.
Jade, it's not just how you explain things, which is excellent, it's that you are thinking deeply about the meaning of physics and that you see beauty in it. I find this is rare in popularisers of science who tend to be story tellers, telling the same stories over and over.
Wow! I wish I'd had this video during my philosophy of science class... It's such a great explanation of both the physics and the deeper concept of science as models! It really helped me think more clearly about these amazing ideas
The Universe is lazy, especially when you're looking at it.
Rhade: the universe isn't lazy, it's so smart that it's infinitely efficient. That is a very different way of looking at the principle of least action, and probably the right way. When we are lazy we are being very inefficient.
Lol
Even a supernova?
If you look at the footpaths in mountainous areas, carved over generations, I'd bet that they represent the most efficient path from point A to point B. People (and animals) are just particles trying to use the least energy possible.
As a long-serving student of the "Feynman Lectures on Physics",
I can definitely state that this was one of your "better" and more
"intriguing" vids. It is a great example of applying a different
model and system of equations to describe the same physical
( or, perceived physical ) phenomenon. Perhaps another vid
on different but equivalent / orthogonal models for 'gravity'
would also be of interest to your subscribers and audience !?!
. . . " incroyable " !!!
Can't we think light the same way we think of gravity? Well, if we could see gravity, we might think of it the way we do photons. But think of photons the other way, as carriers of a field interaction that's more intense at a light source. We say photons travel in straight lines, but that's because we are a straight line away from a light source. Really, the light is a spherical gradient with the same inverse square law as gravity.
I might have cried at the end...
I wish my professors had your same approach, this care for our understanding of the topic and concepts warmed my heart.
I hope you get to reach as many people as possible and show them how amazing physics is and how anyone can learn it
In regards to your message after the ad.
I really liked the mathematical proof that you posted briefly in the video! more of those please :D
This is the first video of yours that I have watched. Did a great job animating this and explaining this! Also, I bet your arm was getting very tired by the end of this.
A speaker at a conference I attended made a wonderful comment: All models are wrong. But some models are useful.
That quote is a favorite of mine, too. I've been attributing it to George Box, who included it in an _excellent_ text book called "Statistics for Experimenters." It's particularly relevant for statistical models, but the lesson extends to all applied mathematics and arguably to mathematical physics.
And some models are just really beautiful but not that useful
does that include underwear models?
I always thought of it as all models are inherently inaccurate, some are simply less inaccurate than others. Modeling the trajectory of a known mass under known conditions, can be fairly accurate while trying to model the stock market, highly inaccurate. One uses fairly straightforward physical parameters the other includes a lot of psychology.
Beautifully explained. I like the philosophical questions raised at the end. Well done.
Found it really helpful in understanding Lagrangian as a 1st-year Physics major ... thank u thank u
I think both Feynman's and Euler's views are true. There is a certain pattern to nature that just makes sense somehow but at the same time, for all practical purposes these are the models we've come up with for our work and we'll use them as models. We'll leave the philosophising for later, once we crack the quantum box.
Comment for after the ad: You're doing just fine. Keep going.
She is doing fine and for those of us with an advanced knowledge of the subject her shallow coverage is more than compensated by her bubbly positive energy.
You are doing a great job at making this consepts understandable for people like me, who never took phisics in college and just know basics of math.
being in 12th grade right now, we have been studying organic chemistry for 4 months straight, and whenever something out of the ordinary happened over there, the only thing our sir told was "the theories didnt come first, the observations did, and then we moulded our theories into something or the other to fit the observations, so if you are hoping everything will fit to your intuition, then that wont be the case." and i let that sink in for the past 4 months, and now here we are understanding that the exact same goes for physics, its exciting to know that i will one day get to go deeper into all of these alternative theories, and as of now it just excites me that even i can create my own model to explain things. and your videos help me a lot, i have info about things you talk about so its never going above my heads. loved the video!
Finally after a month!!🙌
I know it's been so crazy!
Thank you Jade, for nobody had taught me refraction like this. Why is this not taught in school and colleges?
It's taught in colleges but not very well/thoroughly unfortunately (that is my experience anyway)
If two different methods of modelling something both give the same results for every case they can be tested with (like the refractive index/minimum time of flight solutions for light refraction) then they're mathematically exactly the same thing. For most problems I've seen the refractive index method is much more straightforward to apply, hence it being more popularly taught.
A much better example many people will have seen is using the equations of motion vs. conservation of energy to describe how masses move. Both give exactly the same results in all cases, so they're the same model, just looked at from different angles, but in this case both methods are widely used as both methods are easily applied and depending on the problem usually one method is much easier than the other.
It's only when models disagree that there's any chance of devising experiments to determine whether one model is more correct than another. Often very difficult problems in one method are very easy to solve using another, which is why it's good to be familiar with as many models as possible as it makes it more likely that you can find a quick intuitive solution for new problems.
@@upandatom Probably because professors have to worry about grades and homework and a lot of them have probably been teaching for so long they forget what's it like to learn something for the first time. You clearly work on your videos devote a lot of time time to them, and because you don't have to worry about grades and meeting curriculum requirements, you can focus on the content and explaining it well. You also clearly remember what's it like to learn this stuff for the first time, so you make it simple enough that we can understand it without having a physics or math background. TH-cam is great for for learning because they are lots of people like you making great videos. Yours are up there with The Science Asylum, Minute Physics, and 3Blue1Brown in terms of quality. Lots of videos explains things well, but yours and a few others stand out because of your obvious enthusiasm and enjoyment in the subject and your excellent animation.
Read optics by Ajoy Ghatak
And Feynman lectures . It is explained in those books.
Hi Jade, I'm a bit late answering your question: I just found your video. Hope my answer is still somewhat of interest to you.
I live in Belgium (bonjour à ton mari français ;-) ) where I was born in 1961. I have a university degree that involved some science (math, stats, physics, chemistry...) but was mostly geared towards economy and management. I have an extremely broad range of interests, and have been dipping back into physics in the last years, especially trying to wrap my head around quantum mechanics (though not really digging into the maths involved... :-/ ).
So your videos are exactly what I need. They help me improve my understanding of physics, by providing me with an accessible interpretation of Newtonian / Lagrangian / Hamiltonian maths that I never had before. A big BIG thank you for that ! Keep at it. You're on the optimal path :-D , well at least from my perspective ;-)
Cheers
Gilles
I am 56, have no background in physics but find the subject fascinating. Your car and water analogy was excellent and having recently subscribed am really enjoying your videos. You pitch them well. Keep it going!
My new pickup line is, “Are you real or are you a model?”
heheh, that's good
i feel like there may be some context lacking in this scenario. you'll probably just confuse her... it happens to me every time. I've been following the path of least action since puberty...
Non sequitur
or how about a math one: "Are you a circle? Because when I am within your perimeter I start to become irrational! Thus, only together can we transcend to become that which is real; you need but consign, uh, cosine yourself up to me!"
"Huh? What do you mean my chances are the same as the derivative of a constant? What do I look like, a mathematician?!"
@@Blox117 true slayer right there...
Could we see it through model of Copenhagen interpretation model also that is, like a Quantum object it chooses all the possible paths but the one that become reality to us, is the only one which follows the laws of least action. Is it could also be the case? Please also share your precious view on it so that I could become more clear about it. Once again thanks for another enlightening video.😊😊keep it up.👍👍
Love the videos and the animations! great for someone who didn't study physics but has an interest in pop-science like me. Please keep posting on more topics 🤯🤯🤯🤯
pitch-perfect videos, Jade, thank you!
It is a bit over my head, but I listen and try to keep up. I have learned from watching your videos.
As a non-cartesian individual, with average-at-best knowledge of physics, I think I can safely say : Yeah, you do make sense on your explanations.
(Also, welcome to the Recluse club. We don't meet up.)
I found my new favorite channel. These yourube educators may one day change our current education system by making knowledge more accessible.
I find your videos candy for my brain. I love having my mind opened to learning the whys of how our surroundings work. Physics has to be a model that is constantly in flux because our understanding of our world and universe around us changes with new discoveries or techniques for proving or disproving or asking a new question of that model. Thank You sincerely for what you do here.
3:08 amazingly, ur husband looks pretty much alike pierre de fermat! ;)
What if all paths were taken, and the one taking the least time collapses the wave so it becomes reality?
This is essentially the Feynman path integral formulation or "sum over histories". Except it is not necessary to collapse the wave function as that is a feature of interaction with a larger system. What it does mean is that you add together the probability amplitudes of the all the possible paths, which interfere with each other to produce the amplitude of the most likely path. Amazingly, this probabilistic treatment works out the same as the principle of least action. (Although maybe not so amazing as quantum action is at the heart of the Schrodinger equation).
But if it doesn’t become reality until the wave function collapses, then the ones that didn’t collapse it weren’t real, were they? And how can something that’s not real take a path? The path isn’t even real. You’ve done something really important, here, which is to show that QM, to a much higher degree than NM, is just a model. It’s not a description of reality, but only a way of calculating outcome probabilities.
Then why does double slit experiment not always collapse and only cause two lines ?
@@matgggg55
That happens when they take the measurment BEFORE it moves through the slits.
@@dialecticalmonist3405 I don’t get ur point? If the original comment is right then that shouldn’t matter wether it was measured before or after which is why I said “always”
your video was recomended to me by youtube algorithm while searching for lagrange algorithm
your vid has no relation between what i want and what you explain
but i watched it till the end because your way of explaining is fantastic
really you deserve the subscribe and the thumb up and more if i can
this is what i call it perfection
Very, very well explained! Thank you