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topology

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).

  1. 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

  2. 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

  3. 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

  4. 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

  5. 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&nbsp

    yt/iGOGxaZZHwE-it-s-not-that-we-don-t-know-it-s-that-we-can-t/transcript.txt

  6. 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

  7. 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

  8. 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

  9. 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. 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

Curation checklist

  • ☐ Verify excerpt against source recording
  • ☐ Tag tier (axiom · law · principle · primary derivation · observation)
  • ☐ Cross-cite to ≥1 primary source (PubMed / arXiv / archive.org)
  • ☐ Promote to bucket-canon/01-mathematics/