This video is part of an online course, Differential Equations in Action. Check out the course here: www.udacity.co....
Пікірлер: 149
@willnzsurf4 жыл бұрын
I love how he brings us all in to his decision making process. Very Feynman, how cool to see this in action from a personal friend of his. Top level Physicist & a guy you'd want to have a beer with, all in one.💯
@lightgrid5 жыл бұрын
I liked Leonard Susskind. I hated it when Heisenberg shot him in his car :'(
@samanthayork31255 жыл бұрын
holy shit lol this took me way too long
@parthgupte41755 жыл бұрын
I don't get it
@TheDavidlloydjones5 жыл бұрын
You're sure you're not thinking of Werner Erhardt?
@E-2.715 жыл бұрын
Huh?
@a690ac52ed75 жыл бұрын
He's referring to Mike Ehrmantraut.
@bohanxu61256 жыл бұрын
the best "differential equation": d/dt \int^t ds f(s) = f(t). Your solution can "never" be wrong.
@AustinAto4 жыл бұрын
Leonard Susskind was one of the best things about Community's later seasons.
@mpcc20225 жыл бұрын
Ends with him holding his coffee, tea, or whatever he's drinking like a pimp. Any Theoretical Physics students has got to love this guy.
@willnzsurf4 жыл бұрын
He's definitely an O.G.💯
@peterr.15966 жыл бұрын
I'm more intrigued by the question of why is there a book "exploiting online games" on the shelf? Next to Organic chemistry and Design Patterns. Elements of reusable object-oriented software. Who lives in this apartment? Computer geek, biochemist, WoW farmer?
@99bits465 жыл бұрын
Mr. Susskind is bronze elo
@isakenstrom33755 жыл бұрын
It's usual for a physics department to have a common room for the students to hang out during lunch and to study in during afternoons. In those type of rooms it is common to have a bookshelf where its meant for you to leave your old textbooks for new students. Since it's a social room the books left on those shelves are usually off topic as well.
@meatychunkz8875 Жыл бұрын
the way he delivers the line "if I knew the answer to that, I would publish it", unreal
@hamzariazuddin4244 жыл бұрын
i love Leonard Susskind. Him and Lee Smolin are my favourites
@nicolascalandruccio4 жыл бұрын
Nice interview of a legend. I'm so sad that Navier-Stokes and Boltzmann have been forgoten btw
@Alen1000Pro3 жыл бұрын
aren't Navier Stokes incomplete? They have some errors/paradaoxes right?
@nicolascalandruccio3 жыл бұрын
@@Alen1000Pro What do you mean exactly by incomplete, errors and paradoxes?
@jinks9082 жыл бұрын
@@nicolascalandruccio He may be referring to the smoothness problem perhaps? It's not that there is an "error" or "paradox," just that we haven't been able to prove that a smooth solution (continuous/differentiable everywhere) to the N-S equations always exists for 3 dimensions (we have proven this to be true for 2D). However, this is mainly a theoretical problem in mathematics, not physics. Physicists and engineers can use the crap out of the N-S equations without ever knowing or caring whether this problem is solved :)
@priyabratadash3814 жыл бұрын
Beautiful reply by beautiful mind.... The equations asked here are elegant and master equations depicting the fundamental reality of nature. All four equations hold their importance in their realm of knowledge.
@PuzzleQodec6 жыл бұрын
Almost like being asked to pick your favorite constant. π? e? 0 or 1? The golden ratio, φ? Or maybe one of the less obvious constants with a deep meaning such as γ, or the Feigenbaum constant, or i?
@ethanclark41166 жыл бұрын
PenguinF pi. Easy choice
@sidneyparker57066 жыл бұрын
I love Susskind even when I disagree with him.
@naimulhaq96264 жыл бұрын
Deterministic theory of quantum computing function will be the best theory and Schrodinger's equation of the wave function is the best differential equation for now.
@seanspacey44525 жыл бұрын
i love his answers
@984francis6 жыл бұрын
Navier Stokes. Only because as a M.E. I have wrestled with them and pretty much lost. They can be coupled with Maxwells equations to study magnetohydrodynamics. I've got a headache now....
@tykjpelk5 жыл бұрын
I was asking myself what the worst differential equation is and immediately Navier-Stokes came to mind.
@juandesalgado5 жыл бұрын
Navier Stokes is only Newton's Second Law in Halloween costume.
@ahmedboubaker85145 жыл бұрын
When I look at the generalized Navier-Stokes equation: I say ''this doesn't look like anything to me''
@ConsciousBreaks4 жыл бұрын
And then you have relativistic magnetohydronamics. *head explodes*
@kingjeremysircornwell78476 жыл бұрын
every system figured out and explained is important.
@chriscrumly2 жыл бұрын
Could it not be argued that differential equations may also be describing 'discretely' by summing the function into epsilon intervals approaching infitessimally small or finitely massive - in the 'limit', and that the 'continuous' function could be the smoothed out resultant of something that is made up of fundamentally discrete Planckian steps?
@davidwilkie95515 жыл бұрын
Little steps, quanta or infinitesimals, are the modulated pulse of Calculus, and the Universe is connected in one mathematical format from which the conception of symmetry and equality of division within unity form all these equated formats as aspects of infinity by 1-0 axial-tangential, angled orthogonality of these .dt infinitesimal sum-of-al-histories QM time duration pulses in superposition, compound conception of calculus in infinities of infinities-> unity. Either it's all beautifully integrated or an incomprehensible mess, depending on how you see the Math.
@Mike-nf6nf5 жыл бұрын
You definitely wrote all of that. There it is. The thing you wrote.
@thomaswolfe94905 жыл бұрын
somehow I would also add Bolzman's formula to those four.
@Physics_3 жыл бұрын
Statistics one?
@tomnoyb83014 жыл бұрын
"Is the final theory going to be described with a differential equation?" All quantization arises from boundary conditions of a differential equation, Dr. Susskind. "All" is a big claim, but I stand by it. All we see, touch, taste and feel are waves. There are no particles. In the entire universe, there isn't a single particle, only waves. And when those waves are discretized, it is due to boundary conditions, not inherent in the underlying constituent phenomena. The answer is "Yes."
@krenv20523 жыл бұрын
I'm surprised he didn't mention the Euler-Lagrange equations. Despite being a pure mathematical tool, they lead to the equations of virtually every physical theory that we know of.
@ThomistC8 жыл бұрын
The Best Differential Equations is yet to be discovered.
@primusthegodfather94244 жыл бұрын
3:20 They don't "govern" but merely describe a special class of phenomena...
@patmat.3 жыл бұрын
Thatvwas a hreat moment for some great questions, thank you.
@theultimatereductionist75926 жыл бұрын
4m30s "the world is really discrete" BOO! BOO! I'm a CONTINUOUS believer!
@Hobbit1836 жыл бұрын
dN/dt=kN easy to solve easy to use ;)
@morgengabe16 жыл бұрын
Yeah, I fuck with that! It's a "how to do physics with a hammer" type of equation
@ap-pv7ug4 жыл бұрын
N = Ce^(kt)
@david528759 жыл бұрын
The best differential equation is F = dp/dt. without that, we would have lagrangians or hamiltonians.
@tirthachakrabarti59126 жыл бұрын
The Lagrangian or Hamiltonian approach is actually easier and much more useful.
@johancouder80136 жыл бұрын
Not the best, but IMO the one that really changed physics, also considering Newton had to invent calculus first.
@tirthachakrabarti59126 жыл бұрын
Newton had to invent Calculus for describing the Solar system. Did he discover Calculus even before this formula? I don't know.
@Arycke6 жыл бұрын
Don't leave out Leibniz!!
@RalphDratman6 жыл бұрын
By itself, F = dp/dt is not a differential equation. You need a specific system. For example, "Hooke's Law" dp[t]/dt = -k x[t] is a differential equation.
@naimulhaq96266 жыл бұрын
The questioner did not mention Lagrangian which describes both classical and quantum level conservation. Maxwell's equations describes e/m fields, but Einstein's field equations does not describe gravitational fields, but only say its geometrical structure. If I were asked the question, I would side with Maxwell. I do not remember the famous man who said that after ten thousand years, physicists would look back, not to praise Einstein, but Maxwell. Perhaps it provides us with the direction of the theory we still do not know.
@PuzzleQodec6 жыл бұрын
I agree about the Lagrangian. But I don't think great physicists will try to pick one set of equations over another. They want them all. ;-)
@TheEsteemedSirScrub6 жыл бұрын
Lagrange's formulation can be derived from Hamiltonian mechanics.
@naimulhaq96266 жыл бұрын
Maybe, but I am not aware of it. Leonardo mentions how Lagrange's formulation applies to quantum mechanics, making it special.
@Benzene6.0236 жыл бұрын
My best professor
@hamzariazuddin4244 жыл бұрын
where is full pdcast please?
@mitzvahgolem83666 жыл бұрын
Feynman still holds record at Princeton? Not sure. Very nice Shalom
@MrBorceivanovski5 жыл бұрын
Great talk
@ultravidz6 жыл бұрын
The boss who defeated Hawking
@TheLuismaBeaTle6 жыл бұрын
AlphaOmega I just found out about this awesome dude. Tell me the story
@alexos87416 жыл бұрын
Tell me more, or at least a link to read about this please
@arturzathas4996 жыл бұрын
by his own words he didnt defeat him. he rather found an answer to a question that hawking asked. an answer that differed from the implications of of hawking's question. now, i am far from qualified to answer this in details but i think i got it right
@AdityaKumar-ij5ok5 жыл бұрын
@AlphaOmega in which topic did he "defeated" him?
@solidsnake85135 жыл бұрын
They are talking about the blackhole war ie the paradox of information loss in a blackhole.
@johnaugsburger61924 жыл бұрын
Thanks
@dhimanroy16714 жыл бұрын
Schrödinger's equation is the key of today's electronics and communication technology!
@andjelatatarovic83096 жыл бұрын
love the conclusion >
@aeroscience98347 жыл бұрын
What about the Euler Lagrange equations? Or Newton's second law? Without F=ma, we wouldn't have hamiltons equations, or the rest of physics
@SSJHF7 жыл бұрын
As a vector, F=dP/dt. It is only that case that F=ma when the mass doesn't change. (An example of when mass changes, is in an aircraft applying thrust.)
@tehyonglip92036 жыл бұрын
EL equation has almost the same content as Hamilton’s Equation, and Newton’s equation is only a small subset of EL equations and Schrödinger’s Equation. You are not correct, Newton’s equation is a special case of Hamilton’s Equation(it’s a reformulation of Classical Mechanics), but it encompasses all of Physics, QM, QFT, SR, GR.... and Hamilton’s Equations are vector-less, Everything is written in terms of energy
@mjnyc86556 жыл бұрын
Newton's second law is the father of analytical dynamics and therefore I'd say it is at the top.
@tirthachakrabarti59126 жыл бұрын
They are parallel but equivalent formulations. Newton's formulation is very hard to apply in complex systems. Hamilton's equation and E-L equation are much easier to apply. The energy and action principle underlies all of Physics. But in action principle, 'kinetic energy minus potential energy' is the Lagrangian so it's abstract. Hamiltonian is just total energy. So picking up Hamilton's equation is quite justified. But I repeat, these all are equivalent.
@TheDavidlloydjones6 жыл бұрын
Alex, What do you mean? There is no reason not to suppose that F=ma instantaneously at all points, even as the fuel is going out the back -- modulo only the notion that the mass of the aircraft is increasing as it acquires momentum.
@radwizard6 жыл бұрын
Hope I get to meet this guy someday in the near future. :)
@bigchicharito48136 жыл бұрын
radwizard i dont
@radwizard6 жыл бұрын
I don't care dude.
@matrixate6 жыл бұрын
I discovered something AMAZING...pretty impressive
@cassandriel6 жыл бұрын
Just want to say that I am one of those people. :)
@scepticalchymist4 ай бұрын
It has to be the wave equation. Just because everything in the universe vibrates.
@iamtheone50494 жыл бұрын
3:34
@iamtheone50494 жыл бұрын
Spam
@impCaesarAvg4 жыл бұрын
Which differential equation changed physics most? Newton's law of gravitation. (It may not look like a differential equation at first glance, but force is the time derivative of momentum). This was the first instance of a universal quantitative law of physics.
@peeper20704 жыл бұрын
a^2 + b^2 = c^2 im smart 😎😎😎
@amarug6 жыл бұрын
watching his lectures for years now, but for the first time i see that he has blue eyes ... O.o
@Phi16180334 жыл бұрын
If you want to blow your fucking mind, read Aristotle's Physics and then listen to what Leonard Susskind says at the end of this video. Modern physics has answered a lot of questions, yet, in a way, it hasn't answered anything at all.
@shookone81476 жыл бұрын
V=dx/dt
@SethTheOrigin4 жыл бұрын
shook one That’s a definition
@shiddy.3 жыл бұрын
you can tell when the interviewer asks just the right question
@xfactoid6 жыл бұрын
My man Leonard with the book on Exploiting Online Games.. lmao
@ElSachinoo5 жыл бұрын
Bit of a John Malkovich thing going on?
@aryamanmishra1546 жыл бұрын
Bad Boy Of Physics
@Evan490BC5 жыл бұрын
Susskind Bad Boy? No... That would be Feynman.
@Evan490BC5 жыл бұрын
@Ken MacDonald The term was used in a humoristic way... We are talking about scientists here, not the Mexican mafia.
@of81553 жыл бұрын
What????
@iknowthisone68444 жыл бұрын
thats the breaking bad old badass man?
@PauloConstantino1677 жыл бұрын
this interviewer is obsessed with diff. equations
@Rayquesto6 жыл бұрын
Paulo Constantino So am I.
@markhernandez97465 жыл бұрын
Yet it appears he doesn't know anything about them.
@Taricus5 жыл бұрын
I think he was taking a differential equations course. He said something about modelling something in differential equations near the end, so I think it's just on his and his classmate's minds.
@Taricus5 жыл бұрын
It's kind of like this comment section... Some of these people are saying some really weird things LOL! Like, just spouting off random equations and some of them make no sense why someone would say that. It's just because that's a big deal to them at the time. Someone even put the equation for velocity as the most important one XD
@Bollibompa5 жыл бұрын
@@markhernandez9746 Why would it appear as he knows nothing about them?
@Gassebol4 жыл бұрын
Why don’t they teach us about the match of protons and neutrons? Too dangerous?
@redrum419874 жыл бұрын
What do you mean by the match?
@FunctionalIntegral6 жыл бұрын
Yes, indeed space and time are discrete and are consisting of metrons. This is exactly how Burkhard Heim proposed long long time ago. The world is made up of a highly complex quantizied geometrodynamics and its mathematics is discrete.
@ethanarshadi9054 жыл бұрын
John Malkovich lookalike!
@gristly_knuckle5 жыл бұрын
You wait for a how.
@XMIR10C6 жыл бұрын
See ùbrian ùgreene
@yowut80755 жыл бұрын
"They're not my children". Oops
@TheSaintsVEVO Жыл бұрын
Kid named finger
@Bollibompa5 жыл бұрын
There is something wrong with this comment section, the amount of wackos and people who don't know what they're talking about is overwhelming.
@Bollibompa5 жыл бұрын
@Ken MacDonald Hm? Just read it, there are < 100 comments. Won't take even an hour. If you don't agree, I don't give a shit.
@havefun44935 жыл бұрын
einstein field equations are not differential equations
@intermaths11283 жыл бұрын
Yes they are
@russcrawford33105 жыл бұрын
Nitpick: Heinrich Hertz proved the nature of light, not James Maxwell ... no love for Navier-Stokes here, bunch of amateurs ...
@User-ei2kw4 жыл бұрын
he doesnt give a straight answer to anything just beating around the bush 😂
@sixsoxsex17 жыл бұрын
how mass curve spacetime?
@teodoranirmala31636 жыл бұрын
abcd Imho, might by stretching in fabric of spacetime into center of the mass.
@kenlogsdon70953 жыл бұрын
Any form of energy including mass is reflected in the curvature of spacetime. IOW, without spacetime curvature there would be no energy!
@sixsoxsex13 жыл бұрын
@@kenlogsdon7095 Interesting! The inertial mass effect is also due by spacetime curvature?
@kenlogsdon70953 жыл бұрын
@@sixsoxsex1 In a manner of speaking, yes, but it is a mutual dependency. Recall that energy is a property of matter, and most fundamentally, matter is made of fermions and bosons. Specifically, it is the exchange of bosons between fermions that form the basis of any energetic interaction or phenomenon, regardless of whether it is in kinetic or potential form. This material energy can be thought of as being "positive", as opposed to the "negative" energy property of spacetime. As Prof. S. W. Hawking pointed out, "In the case of a universe that is approximately uniform in space, one can show that this negative gravitational energy exactly cancels the positive energy represented by the matter. So the total energy of the universe is zero." What this implies is quite profound! There is a deep relationship between matter and spacetime that we are still trying to figure out. It could be the ultimate yin-yang principle of physical reality itself, the ultimate "conservation" or "symmetry" if you will.
@davidwilkie95516 жыл бұрын
By contrast, and assuming the arbitrary Philosophers view point at the analytical (cause-effect) origin-vanishing point of all information, ..in my totally unqualified opinion, (neither qualified or quantified), ..Schrodinger's Equation. Because, by implication, it says that "discrete" is the delusion of separateness, unless it's qualified and quantized like the elements of sets. The ultimate reality.., of Calculus, is the infinitesimal instant, .dt in the wave of eternal history Phi, the identity of position in infinite connection. ***** Over the passing of relative-timing experiences, ..all in THE discrete eternal event Interval, one automatically starts asking awkward questions about how past-future distribution of such revealed memory associations should be reintegrated and represented. The ultimate sum-of-all-histories is Zero-infinity nothing, integrated by Singularity positioning into Absolute Zero Kelvin i-reflection containment, vanishing-into-no-thing-> Perspective, or WYSIWYG @.dt e-Pi-i infinitesimal Fluxion-Integral Temporal Calculus-Principle.., depending on POV fixed definitions of Convention or sequences of pure-math actions. In other words, is continuing to show intermittent progress in concept development useful, or adding to the difficulties of thinking for yourself? Professor Susskind's lectures at least have a particular study objective and is the preferred resource of research materials.