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 · yt0.750

   How do you go from Maxwell's equations to the  action of Einstein and Hilbert? Spell that out. Okay. So, ask how does this bigger scheme  work in the special case if you would,   say, start with matter, that is  Maxwell electrodynamics, right? Yes. On some metric background. Let's not even say  Lorentzian, any metric, any signature. Well,   the first thing you would do is to… So, you  would find out for what background signature,   if you start with a metric like this, would you  have a well-defined Cauchy problem for Maxwell's &…

   yt/Bnh-UNrxYZg-frederic-schuller-the-physicist-who-derived-gravity-from-ele/transcript.txt

2. 02 · pubmed0.731

   This paper describes conservation laws in general relativity (GR) dating back to the mass-energy conservation of Bondi and Sachs in the early 1960s but using 2-spinor techniques. The notion of conformal infinity is employed, and the highly original ideas of E. T. Newman are discussed in relation to twistor theory. The controversial NP constants are introduced, and their meaning is considered in a new light related to the problem of equations of motion in GR. This article is part of a discussion meeting issue 'At the interface of asymptotics, conformal methods and analysis in general relativity…

   pubmed/PMID-38219775-from-conformal-infinity-to-equations-of-motion-conserved-qua/info.md

3. 03 · _intake0.724

   > that the divergence has a product rule, the derivative of Lambda with G mu nu left alone, plus Lambda times the derivative of G mu nu, that the derivative of G mu nu dies, that means that the only thing that you can count on is, is that the derivative of Lambda has to die. That is what doomed Einstein to having to include this goddamn term in his equation, which he never liked because it was just, there were three terms. There was the beautiful term,

   _intake/claims-allbranch/curated-low/einstein/005-that-the-divergence-has-a-product-rule-the-derivative-of-lam.md

4. 04 · yt0.717

   Oh, I was saying, okay, so in the principal   polynomial, I can imagine that there's a lot  of theoretical considerations. I can imagine   how you can get symmetry or anti-symmetry  conditions. I can imagine how you can get   signature. I can imagine how you get that it is  non-degenerate or that is degenerate. But I don't   see how you get compatibility with connection  as a condition of the principal polynomial. But there's no connection at all. So, okay, what  we call signature in the metric, if I look at it   from t…

   yt/Bnh-UNrxYZg-frederic-schuller-the-physicist-who-derived-gravity-from-ele/transcript.txt

5. 05 · yt0.717

   and that technically can sort of accommodate dark energy, but it's preposterous. So assume that the experimental result fell apart. I'd be in the same place I was in the 80s. This is not going to hold. This is completely artificial. Einstein was correct. And if he had the courage of his convictions, I think what he would have done is to recognize that the entire Einstein field equations cannot live on in this fashion where you've got one term that's perfect and two terms that are unggainainely to say the least and preposterous to say more. You know, we were talking in particular about a piece …

   yt/BVkUya368Es-why-people-are-terrified-of-eric-weinstein-s-geometric-unity/transcript.txt

6. 06 · yt0.710

   Prof: It's the state of definite energy. Remember, we said functions of definite energy obey that equation. So that Y is really just Y_E. So now I'll put these two pieces together, and this is where those of you who drifted off can come back, because what I'm telling you is that the Schrˆdinger equation in fact admits a certain solution which is a product of a function of time and a function of space. And what we found by fiddling around with it is that F(t) and Y are very special, and F(t) must look like e^(‚àíiEt/ ‚Ñè), and Y is just our friend, Y _E(x), which are functions associated with a…

   yt/Iy6RspNw80E-24-quantum-mechanics-vi-time-dependent-schr-dinger-equation/transcript.txt

7. 07 · yt0.710

   I'm going to make a space-like hypersurface in   the language of relativity, that is in the more  mathematical language, you can say that there's a   partially ordered set of these events and this  so-called anti chain. It's a thing that goes   across, where every event that's in this kind  of space-like hypersurface can be said to be   happening simultaneously. Then, there's another  space-like hypersurface where those events are   all time-like separated from the ones on the  previous space-like hypersurface. Okay, so…

   yt/yAJTctpzp5w-can-space-and-time-emerge-from-simple-rules-stephen-wolfram-/transcript.txt

8. 08 · yt0.708

   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

9. 09 · pubmed0.707

   We use the subleading soft-graviton theorem to construct an operator T_{zz} whose insertion in the four-dimensional tree-level quantum gravity S matrix obeys the Virasoro-Ward identities of the energy momentum tensor of a two-dimensional conformal field theory (CFT_{2}). The celestial sphere at Minkowskian null infinity plays the role of the Euclidean sphere of the CFT_{2}, with the Lorentz group acting as the unbroken SL(2,C) subgroup.

   pubmed/PMID-29341660-2d-stress-tensor-for-4d-gravity/info.md

10. 10 · yt0.706

    But what actually happens with   the observable is, is that you have a function and  you can either measure the function at the point   and then multiply it by the quantum wave, or  you can take that function, differentiate it   to get a one form, stick it into a symplectic  form to get a vector field, throw the vector   field to a connection and use that connection to  take a directional derivative. So one of these   ends up as the position operator. One of these  sort of ends up as a momentum operator for the &nb…

    yt/ILlhFKuu3NQ-geometric-unity-unifying-all-forces-generations-eric-weinste/transcript.txt