Is EVERYTHING an Inverse Square Law?
ฝัง
- เผยแพร่เมื่อ 4 ส.ค. 2024
- Inverse square laws show up everywhere from the brightness of electromagnetic waves (light) to the strength of gravitational and electric fields of force. Let's take a historical journey all the way from Kepler to Gauss to see why this is such an important concept.
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VIDEO ANNOTATIONS/CARDS
What the HECK is Light?!
• What the HECK is Light?!
Why Do Things REALLY Fall?
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Escaping Black Holes:
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LINKS TO COMMENTS
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TIME CODES
00:00 Intro
00:33 Historical Origin: Kepler
01:02 Inverse Square Law for Light
02:29 Newton and Gravity
03:37 Coulomb and Electricity
04:21 Gauss' Law and Fields
05:48 Inverse "Area" Laws
06:49 Conclusion
07:21 Outro
07:36 Comment Responses
As a mathematician, can attest that we generalize everything
But you will never find an epsilon < 0 no matter how hard you try to *1/2 it :D
You’re speaking for all mathematicians? What a generalization
@@davidnassau23 That's so trivial :D
@@davidnassau23 THAT'S THE JOKE!
We surely do
This video is literally perfect.
The perfect animation
The perfect presentation
The perfect complexity
The perfect simplicity
The perfect context
The perfect humor
The perfect generalization, damn... this is masterful teaching
The perfect comment
“”Uhm actually perfection is subjective and I didn’t find this funny….” 🤓🤓🤓🤓🤓🤓”🤓
This reply is perfect
What if there is no Theory of Everything because it's okay for the Universe to be a little crazy too?
If there isn’t a theory of everything then I cant wait to see the mathematical proof on that. The math to prove a lack of an answer is always more interesting than an answer to something. I cite the roman version of squaring the circle for that one.
en.wikipedia.org/wiki/Squaring_the_circle
What if there's no such proof? I mean, Gödel's show us that you can't prove everything in math (even if it's a true statement)
That's a theory of everything.
@@viniciusdeloi9386 Does Gödel's theorem apply here? I thought it only applies to Arithmetic.
@@justasaiyanfromearth5252 Well, it applies to "formal systems", where you assume axioms and go ahead with rules. You could call the Fundamental Laws of Physics "axioms" and then go ahead with "math as usual" (which can be as complex as you like, the likes of Whitehead and Russell's "Principia Mathematica").
Furthermore, Gödel's argument hints a "recursion problem" on the diagonalisation. There may as well be an undemonstrable conjecture upon information itself within our universe, which could forbid us from unifying the very same rules we're trying to tackle (and use as a tool to do so).
6:40 In other words; before Einstein, physicists thought they had Unification mostly _squared_ away.
Ha!
What a bunch of squares!
Stop kidding around; I don't think you understand the gravity of the situation.
Ahaha glad to see you here, Therion-sama
They Parker-squared it
Coulomb to Newton : can i copy your homework
Newton: yeah but change it little bit
Coulomb: hah *changes m to q and g to k * 😎
Ha!
😂😂
Haha
😂😂
Atilla the Pun strikes again
Dude, you are starting to beat out PBS Spacetime for my daily TH-cam "science fix". I still love that channel, but your topics are consistently educational. Even if I'm already familiar the subject matter, you have the wonderful habit of striving for the most accurate models, metaphors and analogies while minimizing the use of and/or correcting models that are inaccurate or oversimplify the subject matter. This makes even well known topics seem fresh and exciting!
Thank you and please...Keep up the good work!
Thanks! Glad you like my work :-)
@@ScienceAsylum Nerd Clone: and mine!
Man, i swear that every time i watch one of your videos, there's at least one "ohhhhhhhh NOW i get it" moment, even (or especially, actually) if the video is on a topic i've watched plenty of other stuff about. (This time it was the 4π being included in the constant - i'd always wondered why it just disappeared!) There are plenty of other really great science TH-camrs, but you have a real knack for explaining difficult concepts without dumbing them down, and for somehow just making things click. Keep up the good work - you're doing a really wonderful job!
Impossible not to love your teaching skills. Thank you!
You are damm right!
I have a GUT feeling we will one day have a grand unified theory of everything.
Great pun
I'm from Brazil, your work is one of the most sensational things I've seen on TH-cam.
You might create scientists around the world.
Thanks! Let hope we create more scientists :-)
The most excellent science video I've seen on TH-cam. Really love the visualisations.
Thank you for making your videos!! I truly look forward to learning whatever you’re teaching when you release a new video. THANK YOU!!!! 😄
I can’t describe enough how much I love your videos. Truly one of my favorite creators.
Nick you are my hero of science. Keep making videos. I never found any video of yours boring. I love QUANTUM because it's a little CRAZY!!!
Your videos are excellent. So much information delivered so concisely. You really are an amazing teacher.
Returning to this video this for the tenth time or so. This is such a good channel.
I really hope there are big, unifying discoveries in physics that I get to see. But if not, maybe it's enough that I was around when gravitational waves were first detected. That seems like a privilege.
dont stop making videos , love your enthuisasm, keep it up
Great! Great! I'll be looking forward anxiously to the next videos!
Thank you for uploading. This is my best science channel.
Another one of fantastic video, loved it.
And you are going to 100K fast, fast-fast.
Great video, never thought of inverse square laws in this way as a candidate for a unification theory. Plus Gauss is great (I didn't know he generalized it).
Thank you very much!
Amazing video! Keep up the good work!
Nonuple! So good, as usual. I have never encountered a better physics teacher, nor expect to. Despite the crazy. Don’t let it go to your head, but: thanks.
You are by far one of the best physics teachers I know.
I like your no nonsense explanations of physics as well as your pedagogic method.
Well done.
Unified Field can only be a principle which has not been found yet, and when found would be the end of theoretical physics.
That thing about putting the 4pi in the constant was some great new information, thank you
Nice video, nice animations and good topic. I've come across some videos recently with the theory of gravity through EM theory which I think you're going into.
Good point also on inverse sphere area law which is a better way than the pretty vague inverse square
I had always thought of vector fields as a property of the object. TIL they are a property of space. Wow! Thanks again for another excellent video and another nicely packaged bundle of clarity!
It's One of the Awesome Video I Ever Watched.....
Thankyou Daniel....
Love your videos. Thank you for all your nobles efforts to educate people in science.
Wow I’m watching this for a school project but can’t stop thinking about how good a product this video is for the channel size
always enjoy your vids... keep it up... please.
Another fabulous video! Thanks Nick!
I got It! I got this one! I understood this video!! Oh gosh it feels so good.. Thanx Nick as always, can't wait for the next one, kisses!
Liked and shared. Love the way you explain things. As far as a theory for everything, I think the more we learn the more questions we will unturn. We will never be satisfied, and that's a good thing. Once we unify all forces and conquer the singularity, we will have even more questions than before. We will never know everything, but think about it. If we did get to that point, where would we go from there? Humans need mysteries, we thrive on figuring things out. Curiousness and consciousness are the real mysteries...
Great video. Thank you. Keep them coming!
The absolut best science channel at TH-cam.. Simply excellent...
Thank you, still here (and other places), learning! Thanks for opening up simple things as well, like the definition of a vector.
Great, I suddenly grasped better than ever before where the concept of "fields" comes from and why it is so central to modern physics. Good job, Gauss!
And also why it is so central to unification theories such as QFT.
As for your question, I think we'd get to some sort of unification soon-ish, i.e. not too soon because of the excessive weight of QM-based ideology but soon-ish enough because that hegemony of QM, which IMO acts as blinders, is collapsing as we speak. My hunch is that rather than trying to reform GR to the QM mold it is rather the opposite what must be done somehow, and that QFT itself is a step in the right direction, i.e. less "point particles", more wavefunctions in fields, fields that incidentally are not distinct from space-time except in their way of "bending" or "vibrating". In other words the curvature of space-time is the wavefunction of gravity and the "particle's" wavefunctions are the curvature of the other three (or two) forces, just that one is "extense" and the other "intense" but both are "tense", i.e. some sort of "tensions" (describable surely by tensors) in space-time. This regardless of whether space-time itself is quantized (as it seems) or not: the Plank-sized space-time may be the quantum of uncertainty but it's not enough in itself to explain neither gravity nor QM, it's just the quantum of the field(s).
Another amazing video! Getting close to 100K subscribers. Keep up the good work Nick and tell the Nerd clone that, it's okay to be a little crazy.
When these videos come out, I'm radiating with excitement in accordance with the inverse square law.
I love how good your vids are, cant wait till you hit 100000! Can you make a detailed video on time dilation? It would be great!
I'm not if you've seen it, but several months ago I made "The Ultimate Guide to Relativity": th-cam.com/video/FdWMM6aXpYE/w-d-xo.html
Another excellent video. How do you do it? I'm going to keep sharing them. Got to get you to 100k subscribers! You deserve a million.
First time on your channel. Absolutely love the content!
Glad you found it 🤓
I love these lessons about physichs history, please make more!
Another fantastic video!
It’s hip to be inverse square.
👍🏻😎👍🏻
damn you... now I'm going to have your spin on the lyrics stuck in my head: th-cam.com/video/LB5YkmjalDg/w-d-xo.html
Their early work was a little too gravitational wave for my tastes, but when Sputnik came out in '83, I think they really came into their own model, commercially and artistically. The whole theory has a clear, crisp sound, and a new sheen of consummate professionalism that really gives the ecuations a big boost. He's been compared to Stephen Hawking, but I think Huey has a far more bitter, cynical sense of humor.
Well, to end the debate, The universe is under no obligation to make any sense to us, but we shouldn't stop trying carving sense out of it, since seeking is what we stand for, as a race.
But we are the universe trying to understand itself/ourselves
@@william41017 no offence but that seems partially arrogant.
@@avanishpadmakar5897 I'd like to see your argument.
Personally I don't think Carl Sagan us arrogant, actually I think that's one of the things we can conclude from astrophysics
@@william41017 don't you think we are the universe is a bit far fetched?I am not against research .I don't think we need a reason to work about such an awesome universe.
Everything is connected. The Universe is a single thing made of a great many single things, of which we are an inseparable part. That's my perspective anyway.
I love the way you present serious stuff. Keep it up. :-)
Great video!! Thank you!
Beautiful episode sir as always.
Nice videos crazy!! We need one on Larmor and cyclotron frequencies, i.e. what really happens with electrons (and their magnetic moment) inside magnetic fields!!!
You are just amazing
.
And when i was about 10 years old i thought about photon being spread and at a distance they wont be seen as if there was nothing and in your earlier videos you mentioned something similar and in this video too
.
And that made me feel sooo good as if i discovered that
ABSOLUTE EXCELLENT EXPLAINING !!! THANK YOU !!
Can't wait for your videos. Please do make a video on "String Theory".
Amazing as always 👍👌
I had already found it, but the World isn't ready for it.
Another great and interesting video. Btw: I hope that you will pass the 100K frontier very soon and from there to boldly go where no one has gone before.
Thanks! We're so close!
Wow, 100K coming up soon! Congratulations!
Great video!
Almost 100k subscribers! I can't believe you don't have more subscribers.
Love the content 🖤
Excellent video thanks
Great video as always. May I humbly suggest you introduce the crazies to the Poisson bracket and how it generates an algebra of transformations, and how classical physics is as "weird" as quantum physics when you do? The weirdness somewhat fades after a while, making the gap between QM/QFT and GR slightly smaller, which makes GUT ever so sliiiiiightly more likely.
Thanks man ♥️ ,I was wondering about this law since 11th grade !
Haha. Nice thank you for showing my comment on your video. Made my day!
Somewhat like
shwarts--shilld
He almost got it right in "Why can't you escape a black hole?"
he said something like Swars-shield there.
I love your videos... Could you do a video on ElectroGraviMagnetics (EGM)... Please... Thanking you in advance... :)
Theory of everything... Gonna have to be named Lucid's Law.
If Stephen hawking was alive he may have done that. But unfortunately he didn't make it. His ALS finally took over :(
May he rest in peace.
Such a law would certainly be eLUCIDating.
Lucifer’s law?
GREAT video!
great video as always
Wow this videos was very easy to understand. Yo thanks for the great content.
This is very good. Completely goofy and very good. Thank you Master Splinter.
Great video as ever.
By the way, Nerd clone should have his own show! 😀
THANK YOU! I haven't read about gauss law because i thought it's hard to understand. After this video i can continue reading more about the law. Good luck with the next video.
May i request a video about charge in quantum mechanics, why charge needs both real and complex wavefunctions, Noether theorm and conserved charge ? You are the best!
I'm taking a break from quantum mechanics for a bit, but I'll get back to it :-)
Excellent video.
This is definitely a very good video. I like this kind of history as well
I am really happy you made a video about this! Especially since you gave examples where the power laws no longer hold. I find the introduction of 4pi into the equations quite arbitrary, aren't we just putting it there to make it look more like it has to do with the sphere picture? We could just redefine all units to make pi vanish (less constants).
Damn, I love your channel so much!
ouch.. now i really hope the next videos are coming soon!
Thank you for another great video
I used the Inverse Square Law when lighting shots a a cameraman for the news. Say the news anchor wants to do a slow walk towards the camera, but because they're also walking towards the light they will get brighter too. I use the principle of the Inverse Square Law (I don't do the math) to light them evenly as they move along the Z axis of the camera view. Moving the light backwards reduces the rate of the light drop-off, very useful
Superb; as per usual
Very informative video. Thank you!
You're welcome :-)
I'm from Bangladesh..And i love the way you teach..you are really great..may God bless you ❤
Oh my god, I had been thinking where that 4pi came from in Coulomb's constant since my birth. Nobody ever told me the answer, and now I finally have it :D
But why is the permativity of free space 4 pi ×10^-7?
Roger Onslow Exactly the same reason. Permittivity is also related to spherical symmetry.
@@rogeronslow1498 Actually, It comes from the Ampere-Maxwell Equation, where we deal with the curl of a vector field . Since the curl deals with circumferences, for symmetric fields around a closed circular loop, the circumference is 2pi*r, which gives the pi to the constant known as permeability of free space.
@@nanigopalsaha2408 Thank you.
@@rogeronslow1498 You're welcome.
Congratulations on your 100K subscribers!!! We will be seeing you soon with a silver play button.
Thanks! I still can't believe this many people are into my work.
I love these videos! So excited for the Electric ones, since we're covering that in class now. Are you going to explain in theme future why magnetism obeys inverse cube? And why/how it is unified with electricity?
I'm going to explain how the electromagnetic field is linked to what charge actually is and how it moves around (like in circuits). Where the series goes after that, I haven't decided yet.
Wow...what a great explanation!
Thanks! I try.
I knew there was a connection between gravitational law and coulomb's law. And now i really knew that my thinking was correct. Thanks nick for such great info.
And oh, i know we'll find an explanation for everything around us, but i know it gonna take time but i have faith. And don't worry, if you all can't, i am on the line to figure out things!!!
I want to comment this incase others with ADHD come across this and need it. I have been trying to fit my learning style which is a star into a key shaped hole which is the generic method taught to you in public school. I have been bouncing around youtube video to youtube video at 2x speed while opening new tabs and searching up specific concepts on physics forums when needed, I have been having an incredibly difficult time with Physics this semester because I simply could not find myself interested in the concepts due to the way the content was presented.
Find your method of learning!
I love your videos. I'm learning physic while I practice my English.
I heard that the quantum theory could explain relativity without the geometrics fundaments that Einstein's used.
another great presentation!
Greetings from Germany
Hey Nick, I show my junior High School students lots of your content. Was wondering if you have thought of making a Timeline Special?? As in a series or whatever of timeline events and scientists???
I have considered it. While I love the timeline segments and it would be fun for me to put everything in (temporal) context, it wouldn't do well on its own. I would need some kind of narrative reason to do it.
It's really amazing. The Science asylum
Eagerly waiting for the gravity-electricity analogy :)
Terrific !
Very interesting. Thanks...
hi Nick! could you please make video on "Quantum Radar"? I heard It use quantum physics to detect object like radar...I also want to understand how it is able to detect F-35? haven't find good on this topic yet
Nick, you pronounce Coulomb pretty closely to the way it should be in French 🇨🇦, I agree with you that German names are pretty difficult to pronounce. Great video, thanks for doing these.
@Atilla Kayaş Canada has two official languages, English and French. I speak and write both.
@Atilla Kayaş Türkmüsün ?
I don't think it's correct to pronounce foreign names in one language when you're speaking another language. You should speak in the language you are speaking. E.g., when we speak English, we call France France, not "Frahns", and we call Germany Germany, not "Doychland". When they speak to me in English, they call me George, not "Yorhgho", and vice versa when they speak to me in Greek.
Is french realy that hard to pronounce ? I am french so to me french prononciation is quite natural, but he make it seems like french is 10time harder than german, is it realy true? Because to me at least, german seems like the final boss of european language pronounciation. XD
MusicalRaichu So you call the German film music composer Jack Room instead of Hans Zimmer? I'm sure that's pretty confusing to everyone else.
By the way, your post confuses two different things. In the first part you talk about pronunciation. In the second part about a different word for the same thing in another language (Germany - "Doychland").
So much intersting, I thinking about how much others things could follow this inverse square law. For example, the electrons orbitals, chemical bounds or schrodinger equation also follows the inverse square law in something?
POOOOOFFFFF that's how my brain reacts to your awesome videos . I am not a math nor physics guy but I enjoy your videos
Good explanation
Awesome!