url stringlengths 28 28 | title stringlengths 43 71 | published stringlengths 20 20 | id stringlengths 16 31 | videoId stringlengths 11 11 | text stringlengths 1 504 | start float64 0 7.84k | end float64 3.42 7.87k |
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https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t636.2 | x6YWpe9xHMg | maximum or some critical point rather than the minimum? The answer is you don't, you don't know | 636.2 | 642.04 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t642.04 | x6YWpe9xHMg | that, in fact that's fine, a path where the action was locally maximized would be a perfectly good | 642.04 | 648.68 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t648.68 | x6YWpe9xHMg | solution to the equations of motion. The problem is that's what not what appears in nature and the | 648.68 | 653.56 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t653.56 | x6YWpe9xHMg | reason why is you can easily make the action infinitely big, right, just like jiggle infinitely | 653.56 | 659.64 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t659.64 | x6YWpe9xHMg | fast very, very, very quickly on very, very small timescales you can get as big of an action as you | 659.64 | 665 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t665.0 | x6YWpe9xHMg | want, it's kinetic minus potential, just make your kinetic energy really, really big. So practically | 665 | 671.72 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t671.72 | x6YWpe9xHMg | there is no such thing as a maximum of the action, it can be infinitely big, there is such a thing | 671.72 | 677 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t677.0 | x6YWpe9xHMg | as a minimum at some finite value, that's where the actual paths are, that's why it's the principle | 677 | 682.44 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t682.44 | x6YWpe9xHMg | of least action, not just the principle of stationary action, but in principle as it were, | 682.44 | 687.72 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t687.72 | x6YWpe9xHMg | the principle could say any, any point where delta s delta path equals zero is a perfectly good | 687.72 | 693.56 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t693.5600000000001 | x6YWpe9xHMg | solution to the equations of motion, formally speaking. This also leads us to the following idea, | 693.56 | 700.2 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t700.2 | x6YWpe9xHMg | even if you can rule out maxima, you can certainly have functions where, here's another function f | 700.2 | 707.4 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t707.4000000000001 | x6YWpe9xHMg | of x versus x, what if I have a function that looks like this, where there's lots of minima | 707.4 | 714.6 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t714.6 | x6YWpe9xHMg | locally, there's a sort of, I didn't draw it very well, but probably this point is the actual minimum, | 714.6 | 719.8 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t719.8000000000001 | x6YWpe9xHMg | but this point and this point and this point all seem to be minima locally, right, you're in the | 719.8 | 726.68 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t726.68 | x6YWpe9xHMg | bottom of a little valley, and in fact at every one of these points, d f dx equals zero, there and | 726.68 | 735.24 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t735.2399999999999 | x6YWpe9xHMg | there and there and there and there. So I can draw zero better than that, I think. So what about those | 735.24 | 745.4 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t745.4 | x6YWpe9xHMg | points? You know, can we imagine that we might live there? Yeah, you can, in fact that's no problem, | 745.4 | 751.16 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t751.16 | x6YWpe9xHMg | whatsoever. Think about a particle in a box. So here's, now this is not space time anymore, this is | 751.16 | 757.32 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t757.3199999999999 | x6YWpe9xHMg | space and space. So here's x and y, okay, a box, two dimensional box. And I have a particle that | 757.32 | 763.88 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t763.88 | x6YWpe9xHMg | starts here. So this is x naught at time t naught. And I say I want the particle to get to here, | 763.88 | 770.76 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t771.48 | x6YWpe9xHMg | point x one at time t one, okay, and maybe y is also different for these two different things. | 771.48 | 778.2 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t778.2 | x6YWpe9xHMg | So clearly, there is going to be a path that looks like this, you just go straight across, | 778.2 | 783.72 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t784.5200000000001 | x6YWpe9xHMg | and you go at some velocity. So given that when you leave, you leave a time t naught, | 784.52 | 789.56 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t789.5600000000001 | x6YWpe9xHMg | and when you arrive, you arrive at time t one, there will be a correct velocity. So the principle | 789.56 | 795.48 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t795.48 | x6YWpe9xHMg | of least action will find that correct velocity for you. We'll tell you how fast you need to go | 795.48 | 800.28 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t800.2800000000001 | x6YWpe9xHMg | from there to there. But that's not the only path that would get you there. If you went more | 800.28 | 805.56 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t805.56 | x6YWpe9xHMg | quickly than that path, you would not go there because you would reach there and then bounce back | 805.56 | 810.92 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t810.92 | x6YWpe9xHMg | by the time you reached t one. If you went more slowly, you wouldn't get there in time. | 810.92 | 814.84 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t815.4799999999999 | x6YWpe9xHMg | But you can bounce off the wall at the correct angle. So this could be your path. If you move a | 815.48 | 822.44 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t822.4399999999999 | x6YWpe9xHMg | little quickly, it's a little farther path. But if you move more quickly, so you have a higher | 822.44 | 826.6 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t826.5999999999999 | x6YWpe9xHMg | initial velocity than the yellow path, put an arrow on the L path also, then that orange path | 826.6 | 832.84 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t832.84 | x6YWpe9xHMg | is perfectly allowed. That is something that could start you at x naught at t naught and get you to | 832.84 | 837.96 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t837.96 | x6YWpe9xHMg | x one at t one. What's wrong with that? Well, the answer is nothing is wrong with that. That's a | 837.96 | 842.68 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t842.6800000000001 | x6YWpe9xHMg | perfectly good path. And the principle of least action allows you to take it. So that is exactly | 842.68 | 849.16 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t849.1600000000001 | x6YWpe9xHMg | this situation. This yellow path is one of the points, which is a minimum of the action. This | 849.16 | 856.04 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t856.04 | x6YWpe9xHMg | orange path is another local minimum of the action. So the set of trajectories that satisfies | 856.04 | 863.32 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t865.4 | x6YWpe9xHMg | delta s, delta path equals zero, those give you all the allowed paths and they would all | 865.4 | 870.92 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t870.92 | x6YWpe9xHMg | be found by this method. So you see that there's a little bit of a disadvantage, maybe, to the | 870.92 | 877.64 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t877.64 | x6YWpe9xHMg | principle of least action versus the Newtonian-Loplossian way of doing things. The Newtonian-Loplossian | 877.64 | 883.4 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t883.4 | x6YWpe9xHMg | way of doing things gives you a unique answer almost always. There's some tiny little caveats to | 883.4 | 889.72 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t889.72 | x6YWpe9xHMg | that which we may get to later. But starting from a single point with a single position and a single | 889.72 | 894.52 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t894.52 | x6YWpe9xHMg | momentum, you just chug forward in time and you get a unique answer, minimizing the action between | 894.52 | 899.64 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t899.64 | x6YWpe9xHMg | two points at two different times could give you multiple answers. Maybe you consider that a bad | 899.64 | 904.44 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t904.4399999999999 | x6YWpe9xHMg | feature because you don't get a unique answer, but maybe it's good because you get a whole bunch of | 904.44 | 907.64 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t907.64 | x6YWpe9xHMg | good plausible answers. That's just how it is. That is allowed completely consistent by the principle | 907.64 | 913.16 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t913.16 | x6YWpe9xHMg | of least action. Good, I did that. I did that. So the last thing I wanted to mention sort of as | 913.16 | 919.48 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t919.48 | x6YWpe9xHMg | in a cleanup vein is how much information is required. Oops. Because I said that it was the same amount | 919.48 | 931.8 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t931.8 | x6YWpe9xHMg | in the Newtonian point of view versus the least action point of view. So if this is x, this is t | 931.8 | 937.56 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t937.56 | x6YWpe9xHMg | again. One way of doing it is you start here. This is t0. This is t1. I'm not a very well drawn t1. | 937.56 | 947.72 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t947.7199999999999 | x6YWpe9xHMg | Sorry about that. So you say you've been there. This is x1, t1, x0, t0. And I said, look, in the | 947.72 | 959.96 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t959.96 | x6YWpe9xHMg | Newtonian way, you would give me x0 and p0 at this initial time. In the least action way, | 959.96 | 969.48 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t973.24 | x6YWpe9xHMg | you would give me x0 and x1. So you give me the initial location and the final location. You don't | 973.24 | 980.36 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t980.36 | x6YWpe9xHMg | give me any velocities or any momenta at all. So I said it's an equal amount of information. | 980.36 | 984.76 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t984.76 | x6YWpe9xHMg | This looks like a one-dimensional line that the particle lives on, but if it lived in three dimensions, | 984.76 | 989.4 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t989.4 | x6YWpe9xHMg | there would be three pieces of information, three dimensions for the position and also three for | 989.4 | 994.12 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t994.12 | x6YWpe9xHMg | the momentum. So it still matches in both cases. But the question was asked, yes, but what about | 994.12 | 999.8 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t999.8 | x6YWpe9xHMg | the time? It looks like here you give me t0. And here you give me both t0 and t1. So that doesn't | 999.8 | 1,007.88 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1007.88 | x6YWpe9xHMg | look quite fair. I get what you're saying, but it's not really an issue. Of course, | 1,007.88 | 1,013.48 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1013.48 | x6YWpe9xHMg | in the Newtonian point of view, you start with x0 and p0. And then you get the entire path at all | 1,013.48 | 1,018.76 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1018.76 | x6YWpe9xHMg | times. In the least action point of view, you get between t0 and t1. But I could still ask the | 1,018.76 | 1,026.44 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1026.44 | x6YWpe9xHMg | question from the Newtonian point of view, given x0 and p0, given my starting position and velocity, | 1,026.44 | 1,033.16 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1033.72 | x6YWpe9xHMg | where would I end up at t1? If I started at t0, where would I end up at t1? That is the question | 1,033.72 | 1,040.84 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1040.84 | x6YWpe9xHMg | being answered by that point of view. And the least action principle, that process, formalism, | 1,040.84 | 1,047.08 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1047.08 | x6YWpe9xHMg | answers the same question. Given I started at x0, at t0, and I want to end up at x1 at t1, | 1,047.08 | 1,052.76 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1052.76 | x6YWpe9xHMg | what is the path I take in between? So secretly, it is exactly the same amount of information, | 1,052.76 | 1,057.72 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1057.72 | x6YWpe9xHMg | either way. Don't worry about that. Okay. Now we get into more specific questions | 1,057.72 | 1,062.92 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1064.6799999999998 | x6YWpe9xHMg | that were asked in various places. You can ask questions either in the YouTube video or on the | 1,064.68 | 1,068.76 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1068.76 | x6YWpe9xHMg | blog. You can try to ask questions on Twitter, but I might forget them. It might be hard to trace | 1,068.76 | 1,074.84 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1074.84 | x6YWpe9xHMg | down. When I mention the blog, by the way, I'm embedding all these videos at preposterousuniverse.com | 1,074.84 | 1,080.28 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1080.28 | x6YWpe9xHMg | slash blog. This is my blog that I've kept for many, many years. Right now I'm using it as a | 1,080.28 | 1,084.28 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1084.28 | x6YWpe9xHMg | place to put these videos. So you can ask questions there. There is actually the best place to ask, | 1,084.28 | 1,088.84 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1088.84 | x6YWpe9xHMg | because there's many more comments on YouTube that are not just questions. Okay. So here's a | 1,088.84 | 1,093.72 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1093.72 | x6YWpe9xHMg | question. Why? This is the kind of question I like. People asking, why is the action | 1,093.72 | 1,100.36 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1100.36 | x6YWpe9xHMg | S equal to the integral of kinetic minus potential energy? Oops. | 1,100.36 | 1,105.88 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1110.9199999999998 | x6YWpe9xHMg | And in particular, the kinetic energy is one half mv squared. Potential energy is just some | 1,110.92 | 1,116.44 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1116.4399999999998 | x6YWpe9xHMg | function v of x. Why is that the action rather than something else? So the glib and completely | 1,116.44 | 1,124.12 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1124.12 | x6YWpe9xHMg | 100% true answer is that's what works. That is the formula that actually gives us the behavior | 1,124.12 | 1,131.32 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1131.32 | x6YWpe9xHMg | of particles in the real world for particles like a point ball rolling down a hill or something | 1,131.32 | 1,136.68 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1136.6799999999998 | x6YWpe9xHMg | like that. Okay. But what you're really asking then is, well, is there any principled reason why | 1,136.68 | 1,144.44 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1144.4399999999998 | x6YWpe9xHMg | I couldn't consider other things? Why couldn't consider the velocity cubed or the velocity times | 1,144.44 | 1,149.72 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1149.72 | x6YWpe9xHMg | the position or something like that? But the answer is those would give you different laws of physics. | 1,149.72 | 1,155.24 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1155.24 | x6YWpe9xHMg | This is the form of the action that gives you Newton's laws, f equals ma, and then the various | 1,155.24 | 1,163.96 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1163.96 | x6YWpe9xHMg | definitions of what you mean by f for the electromagnetic force or for the gravitational force or whatever. | 1,163.96 | 1,170.28 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1170.28 | x6YWpe9xHMg | This is the right kind of action. But you're allowed to consider other kinds of action. In | 1,170.28 | 1,175.32 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1175.32 | x6YWpe9xHMg | fact, let me tell you, let me reveal you a secret, not really a secret. Let me reveal you a true | 1,175.32 | 1,179.48 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1179.48 | x6YWpe9xHMg | fact that is well ahead of where we are in this discussion. One of the interesting things about | 1,179.48 | 1,186.36 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1186.36 | x6YWpe9xHMg | this least action way of doing it, one of the reasons why it's interesting, even though at the | 1,186.36 | 1,190.12 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1190.12 | x6YWpe9xHMg | end of the day, it just gives you back Newton's laws, is that when you get to more advanced, | 1,190.12 | 1,195.88 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1195.8799999999999 | x6YWpe9xHMg | more complicated, more subtle theories of physics, like we have in quantum field theory, | 1,195.88 | 1,200.52 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1200.52 | x6YWpe9xHMg | it becomes much easier to write down an action than it does to write down equations of motion. | 1,200.52 | 1,207.56 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1207.56 | x6YWpe9xHMg | And I can tell you why that is. So here we wrote down the action as kinetic energy minus potential | 1,207.56 | 1,214.2 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1214.2 | x6YWpe9xHMg | energy for a particle moving along a line. We will later on, god willing, be later talking about | 1,214.2 | 1,224.84 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1224.84 | x6YWpe9xHMg | field theory. So rather than talking about a particle at some position, here is space. | 1,224.84 | 1,233.32 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1237.1599999999999 | x6YWpe9xHMg | And this is time again. Remember, always label your axes. There's so many professional scientists | 1,237.16 | 1,243.16 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1243.1599999999999 | x6YWpe9xHMg | who will draw plots and they know what the axes are, but they don't tell you. So give me a hard | 1,243.16 | 1,247.48 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1247.48 | x6YWpe9xHMg | time if I don't label the axes. In field theory, the fundamental objects are not particles with | 1,247.48 | 1,254.04 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1254.04 | x6YWpe9xHMg | locations. They are fields like phi, it's a typical Greek letter that we use for a field, | 1,254.04 | 1,260.44 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1260.44 | x6YWpe9xHMg | and phi has a value at every point in space and at every moment of time. So there's phi at that | 1,260.44 | 1,267.96 |
https://youtu.be/x6YWpe9xHMg | The Biggest Ideas in the Universe | Q&A 3 - Force, Energy, and Action | 2020-04-12T15:32:41Z | x6YWpe9xHMg-t1267.96 | x6YWpe9xHMg | location, phi at this location over here, etc. It's a, that's what a field is. Unlike a particle, | 1,267.96 | 1,274.36 |
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