topology
18 excerpts · 01-mathematics
- coming from the the 1980s on is is the quantum field theory would have been discovered by topologists and geometers even if the physical world had never used it because it was actually a— Roger Penrose on "The Portal" (w Eric Weinstein), Ep. #020 - Plotting the Twist of Einstei
- always more and more matter as the events are updated this manifold grows and grows and grows and grows which has to be— Worlds in Collision: Intelligence through the Lens of Wolfgang Smith, Michael Levin, Steph
- from general topological reasons that there's got to be one somewhere and that was the sort of argument that I produced and I guess a lot of people had a little bit of trouble because they'd never seen— Joe Rogan Experience #1216 - Sir Roger Penrose
- the 14 manifold behaves like a three manifold, three is magical, just a magical dimension. There's the bosonic magic, which is Chern-Simons-like theories. And there's the fermionic magic, which is that you roll up this very simple thing. And that's what leads to three generations. Do you still have the D-squared property in this complex that's only three to four long? This is something I've never said anywhere. There is a new D-squared,— Geometric Unity: Unifying All Forces + Generations | Eric Weinstein
- So I'll give you an example. If you're in a time travel universe where every point is causally related to every other point, you're never going to get a theorem like this to go because you'll have one model which allows for time travel over here where every point is related to every other. So that's some causal structure. And you can have another over here where maybe it's the same model, but then I yank out some points. So now the topology is— It's Not That We Don't Know. It's That We Can't.
- particle was this topological structure that has this or that form, then we should be able to say, well, what is the amount of interaction that's happening with this background structure of space? Right. So, then that would be a way of us being able to derive the masses of particles, which would be pretty cool, because as you say, that's been a thing we've never been able to do. Now, it's worth remembering that in our models...— Can space and time emerge from simple rules? Stephen Wolfram thinks so. | World Science Fe
- models. First of all, in our models, things are discrete. So the idea that, for example, there is a transformation between one kind of topological structure of spacetime and another that has to be this strange discontinuous thing when you're dealing with traditional general relativity and manifolds and continuous structures. It isn't a discontinuous thing in our models because something that didn't have a hole, there isn't a notion of a distinct hole, so to speak.— Can space and time emerge from simple rules? Stephen Wolfram thinks so. | World Science Fe
- 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— Frederic Schuller: The Physicist Who Derived Gravity From Electromagnetism
- I need to tell you what a covector is if I want to talk about momenta, right? Because momenta, canonical momenta, are covectors. They're not vectors. How do I tell you? Do I tell you about this in vector space? I could, but then people think about the position vector. But position is not a vector. And you can't get away from this structurally conceptually wrong idea unless you immediately put it in the setting of a manifold. And then of course if you do then— Frederic Schuller: The Physicist Who Derived Gravity From Electromagnetism
- tell people that if somebody has a meaning to the word ham, puts a meaning to the word Hamiltonian, you know, that they're in only one field because it means one thing in civics, one thing in physics, and one thing in biology. Cause Ham, Hamilton is a great name in the, in human history. So yes, I didn't mean homology in the sense of algebraic, but I did mean So yes, I didn't mean homology in the sense of algebraic topology. Okay. Let me tell you some of my gripes— Geometric Unity: Unifying All Forces + Generations | Eric Weinstein
- of that manifold with a connection. Let's imagine the connection is flat. So we've tensored this bundle, this vector bundle, with the Diram complex with a flat connection. d squared will continue to be zero. Now let's say, okay, let's relax the flatness condition. d squared is no longer equal to zero. d squared actually becomes definitionally the curvature. Okay. Right. Because you need, like, you need to go from I-forms to I plus two forms. And instead of it being a second— Geometric Unity: Unifying All Forces + Generations | Eric Weinstein
- establish their singleness of meaning and thus misses the essential point for what we can above all establish as the one thing consistent with their nature is their manifold meaning their almost— Carl Jung | Archetypes and The Collective Unconscious | audiobook part 1
- is why the it has to start with culture not start with the market because the market is going to incentivize the thing it incentivizes that's just flowing on the topology of— How To Steer Civilization Away From CATASTROPHE with Daniel Schmachtenberger
- example or the route mountains and all the rivers all of these uniquely spatially localizable features possibly topological features have to be placed somewhere because that requires our— Karl Friston: Neuroscience and the Free Energy Principle | Lex Fridman Podcast #99
- it's just a disease factor it's become a disease Factor now because now we've introduced electromagnetic fields that cause topologic problems on our surfaces— Dr Jack Kruse: Deuterium, 4th phase of WATER, & cellular redox | Regenerative Health Podca
- metric so one thing we can do is to take a manifold X D as the starting point and see if we can create an entire universe from no other data and not even with a metric so since we don't choose a metric— A Portal Special Presentation- Geometric Unity: A First Look
- about with Jack because we kind of got into uh topology and various things that are a little more in-depth yeah well what you said is definitely true I think people need to— Dr. Jack Kruse EMF Podcast Debrief, 5G Explained and Q&A | LIVE
- it acts as a topologic insulator what does that mean in English the outside can conduct an electric current but it doesn't affect the inside the way it works in other words atomically inside it's silent why because atomic Atomic organization at a molecular level is important why all of biology is based on storing light energy at the electronic level that means in Bonds in protons in electrons and it's our job as clinicians and biologists to understand that we need to— Jack Kruse & Andrew Huberman (Rick Rubin Tetragrammaton Podcast) - PART 1