rewatched Seinfeld, which is many times. Oh wow. Yes, yes. Well, well, I mean, look, it was a course, because it was an extracurricular course, I had some mathematicians in it, some physicists and so on. And if you want to, I can tell you the reason was very simple. If you want to tell people what a manifold is, you need to tell them a smooth manifold. You need to tell them what a topological manifold is. They
- Concept
- topology
- Score
- 4 · must · because
- Status
- candidate — not yet promoted to canon
Corpus evidence — top 10 passages
Most-relevant passages from the entire indexed corpus (67,286 paragraph chunks across YouTube transcripts, PubMed, arXiv, archive.org, Stanford Encyclopedia of Philosophy, OpenAlex, and more) ranked by semantic similarity (bge-small-en-v1.5).
- 01 · yt0.792
To tell GU in a simple and succinct manner, a life begins as a four manifold, which begets... CURT:.... Eric...! ERIC:I've already failed? CURT: So someone said that in my explain, like I'm five videos for geometric unity. I use the word engendered and they're like, what five-year-old knows the word engendered? So let alone manifold. Now we're not aiming at the five-year-old. ERIC: Okay. Here's the, here's the thing. Most people, why do they care about fundamental physics? Because it's existence. You're h…
yt/ILlhFKuu3NQ-geometric-unity-unifying-all-forces-generations-eric-weinste/transcript.txt
- 02 · yt0.790
I think it must have been in my second year when I did maths. I discovered a theorem which I believe is a still unknown. And I never published it. But I gave a seminar at when I was in my second year as an undergraduate Yeah. on this thing. And my father attended in must have heard about it. Yes. What was without going into the detail, what was it about? Is this Penrose's forgotten theorem? This is Penrose's theorem which hasn't even been seen because it was never published. Ah, this is this could be an exclusive. I I never did it. Yes. It was a theorem about conics. Yeah. It's not so hard to …
yt/JiDWGbsVEno-why-did-the-mathematician-cross-the-road-with-roger-penrose/transcript.txt
- 03 · yt0.788
Einstein distorted the world for his time and geometric unity is ultimately, if you want to not look at the map and you want to look at the territory, you have to keep putting in a new map until finally, in the end, reality is its own exegesis. There's no tool to look at it. So geometric unity says you're not living on one space. You're living on a relationship between two spaces. And in that relationship, you've put the quantum on one space, the classical on another, which decreases the amount of c…
yt/ILlhFKuu3NQ-geometric-unity-unifying-all-forces-generations-eric-weinste/transcript.txt
- 04 · yt0.782
Brian: Now, one thing in that book, which is interesting to me is that when physicists typically learn the mathematical methods of general relativity, differential geometry to be concrete, most physicists learn it in a so called coordinate form, which is the more nuts and bolts ingredients necessary to really carry out certain kinds of calculations. You're at great pains in that book to do both the coordinate version, and the coordinate-free version, which is perhaps maybe the way more mathema…
yt/PTs--eFrzGo-greatest-mysteries-of-gravity-brian-greene-kip-thorne-world-/transcript.txt
- 05 · yt0.781
You can collect evidence forever, any kind of empirical evidence you could ever imagine. And the idea of that not being enough to pin down what the universe is like, that's something that naturally pops up in theories of space and time. So I don't think GR is special here. I think you can prove a similar kind of theorem pretty much in any space-time theory that's modeled on a manifold with geometric structures on it. So a Newtonian version of space-time physics, you'd have similar results there. So I …
yt/iGOGxaZZHwE-it-s-not-that-we-don-t-know-it-s-that-we-can-t/transcript.txt
- 06 · yt0.780
The theorem is if you've got your cube almost finished except for one vertex, there are three more lines you've got to fit in and the last conic has got to be there. It exists. The last one exists. And that's that's a theorem. The point about it was you could specialize in all sorts of ways. You could make it pair of lines, you could make it conic and lines and three lines. And always all various theorems like Pascal's theorem, Brianchon's theorem, Pascal's theorem with triangles, um Desargues' theorem, Pappus' theorem. All these theorems you specialize in different ways and you put little sym…
yt/JiDWGbsVEno-why-did-the-mathematician-cross-the-road-with-roger-penrose/transcript.txt
- 07 · yt0.770
I accept general relativity, but everything we do is slightly wrong. We call, we call Pati-Salam by the wrong name. We have the wrong grand unified real forms of the group. SU five is really SU three comma, uh, SU three comma two. SO 10 is really spin 10 and spin 10 is really spin six comma four. Like the amount of wear and tear on the mind to hear somebody say, no, no, no. I accept all these things, but we've, we've minorly got everything shifted. I think there's a huge barrier to entry in Geo. But …
yt/ILlhFKuu3NQ-geometric-unity-unifying-all-forces-generations-eric-weinste/transcript.txt
- 08 · yt0.767
Take a, take a page from object oriented programming. In a class definition, you've got member variables and you've got bound methods. So that's like stuff and stuff you can do and method and it's, you've got nouns, you've got verbs, you've got stuff and you've got things you can do with the stuff. So that's what the observers is. It's two spaces with a fiber and sections connecting them, and then it's bundles on top of them. And if you wanted to talk about like the shift in perspective from Einstein,&nbs…
yt/ILlhFKuu3NQ-geometric-unity-unifying-all-forces-generations-eric-weinste/transcript.txt
- 09 · yt0.765
Actually, Schrödinger did that, right? Schrödinger had a modified idea. Again, Schrödinger had an idea of modified gravity. And he said, “no, no, no, no. Einstein does these non-symmetric metrics. But actually, a deeper structural concept than the metric is the connection.” And there are connections that come from a metric, and they're more general connections, right? So, that was Schrödinger's idea. Actually, a wonderful book by Schrödinger, Space-Time Structure. A very beautiful, thin book o…
yt/Bnh-UNrxYZg-frederic-schuller-the-physicist-who-derived-gravity-from-ele/transcript.txt
- 10 · yt0.763
So, this will remind you that physics is, after all, an experimental science and you will be able to see where all the laws of physics come from. So, if you're going to take it, you should take it at the same time. Yes? Student: Could you please talk about when you expect [inaudible] Professor Ramamurti Shankar: Ah, very good. This is a calculus-based class and I expect everyone to know at least the rudiments of differential calculus. What's a function, what's a derivative, what's a second derivative, how to take derivatives of elementary functions, how to do elementary integrals. Sometime lat…
yt/KOKnWaLiL8w-1-course-introduction-and-newtonian-mechanics/transcript.txt
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