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 · pubmed0.771

   Is string theory uniquely determined by self-consistency? Causality and unitarity seemingly permit a multitude of putative deformations, at least at the level of two-to-two scattering. Motivated by this question, we initiate a systematic exploration of the constraints on scattering from higher-point factorization, which imposes extraordinarily restrictive sum rules on the residues and spectra defined by a given amplitude. These bounds handily exclude several proposed deformations of the string: the simplest "bespoke" amplitudes with tunable masses and a family of modified string integrands fro…

   pubmed/PMID-38489631-multiparticle-factorization-and-the-rigidity-of-string-theor/info.md

2. 02 · yt0.771

   You all lift your hands up, then I follow you. You follow this perfect sine. Then you let go. What do you think will happen then? What do you think will be the subsequent evolution of the string? Do you have any guess? Yes? Student: > Prof: It will go up and down, and the future of that string will look like cosine(pxvt/L). Look at it. This is a time dependence, that t = 0, this goes away, this initial state. But look what happens at a later time. Every point x rises and falls with the same period. It goes up and down all together. That means a little later it will look like that, then it w…

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

3. 03 · yt0.768

   Um now I can I can plug the block wave function into the Hamiltonian that describes the system and I can predict what defraction should look like where I load my atoms into the lattice. I show my lattice off. I can take images of that tell me about the the resulting momentum space structure of the state. That's what these images are. And when I use this theory to predict what this defraction image should look like when I don't uh give the atoms any velocity um any momentum then I see a defraction pattern that looks like this with this nice uh six-fold rotation symmetry. And when I do the exper…

   yt/ZxHgKUP5PoU-physics-club-october-18-2021/transcript.txt

4. 04 · yt0.768

   Okay, so a summary of what I've said so far is that there's a new force in nature. To be part of that game you have to have charge. If you have no charge, you cannot play that game. Like neutrons cannot play this game. Nothing's attracted or repelled by neutrons and neutrons cannot attract or repel anything. So you've got to have electric charge. It happens to be measured in coulombs. So let me ask you another question. Suppose I tell you, here is Coulombs Law. Let me just write the number 1 over 4Πε _0. How are we going to test that this law is correct? Okay, I'm giving you a bonus. You don't…

   yt/NK-BxowMIfg-1-electrostatics/transcript.txt

5. 05 · yt0.767

   But nevertheless, every term here is explained, briefly. It takes a year long quantum field theory course in graduate school to get the details, but at least say what every term means, including the i for example and including the k less than lambda. What you don't see are causes, purposes, or reasons why. It's just Laplacian calculation over and over again. This is the modern version of what you need to program into Laplace's demon so that starting from the position and configuration of the world at one point, it can find out what will happen next or what happened before. The final criterion …

   yt/x26a-ztpQs8-the-big-picture-sean-carroll-talks-at-google/transcript.txt

6. 06 · yt0.763

   If you poke the Higs field, it starts vibrating and you see a little particle called the Higs Bzon. We first successfully did that in 2012. Big news. Uh in Geneva, the Large Hydron Collider, we discovered the Higs Bzon. There are other particles that exist that we know about, but they're just heavier cousins of these particles. So there's not only an electron, there's also a muon and a tow. There's not only an up quark, there's a charm quark and a top quark, etc. All those heavier particles, if you made one right here, it would decay away in an instant. It would make these particles. So the cl…

   yt/rqezWO5Yba8-sean-carrol-the-big-picture-on-the-origins-of-life-meaning-a/transcript.txt

7. 07 · yt0.761

   If it bounces right back, that cos q is -1. That number is 2 and you get a huge Dl. And you can find the l of it by putting a diffraction grating. Now, what one could show is that if you took this to be made of particles, and each particle has an energy, ℏw, and each particle has a momentum, ℏk, and that that collides with an electron, then you just balance energy conservation and momentum conservation. In any collision, energy and momentum before = energy and momentum after. You set them equal and you fiddle around, you can find the new momentum after scattering. From the new momentum, you ca…

   yt/uK2eFv7ne_Q-19-quantum-mechanics-i-the-key-experiments-and-wave-particle/transcript.txt

8. 08 · yt0.760

   They do their thing, and guys going through this slit should do their thing, therefore you should get a number equal to the sum, but you don't. In other words, for particles, which have definite trajectories, opening a second slit should not affect the number going through the first slit. Do you understand that? Particles are local. They're moving along and they feel the local forces acting on them and they bend or twist or turn. They don't really care what's happening far away, whether a second slit may be open or closed. Therefore logically, the number coming here must be the sum of the numb…

   yt/uK2eFv7ne_Q-19-quantum-mechanics-i-the-key-experiments-and-wave-particle/transcript.txt

9. 09 · yt0.760

   You're just going to rely on good old electromagnetism, because electromagnetism is supposed to work for everybody. In fact, that's how the relativity-- even though electromagnetism was discovered before relativity, it obeys all the principles demanded by relativistic theory. So everybody should have the same laws of motion. So have you found a way out now? Yes? Student: Would the wire look like a bar magnet? Prof: No, because bar magnet means you're going to magnetism, right? So let's say I don't know any magnetism, because the charge is at rest. A charge at rest doesn't care if it's near a b…

   yt/HXRjSfre6kc-8-circuits-and-magnetism-i/transcript.txt

10. 10 · yt0.759

    There are other schemes where people have little tiny beads and they try to put them in a superposition. But all these things are pretty far away yet from from actually getting to this point. And Ivet Fuentes' ideas is to use Bose-Einstein condensates. And she's an expert on that area. I mean, using these things for gravitational wave detection was one of her wonderful idea, I thought. But this is trying to use them. You can put a Bose-Einstein condensate. This is a um you have to have it extremely cold. And these um materials when they get very very cold, they behave in a certain sense like b…

    yt/OoDi856wLPM-sir-roger-penrose-stuart-hameroff-collapsing-a-theory-of-qua/transcript.txt