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 · _intake0.827

   > electrons never changes according to the shinger equation if you just do particle quantum mechanics you're going to be stuck with the same number of particles that you always had you need to sort of

   _intake/claims-allbranch/curated-low/quantum-mech/002-electrons-never-changes-according-to-the-shinger-equation-if.md

2. 02 · wikisource0.797

   (at the coordinate origin!) is not always zero. Aren't electrons and protons more "penetrable" than molecules? The situation becomes even clearer if we apply Ehrenfest's considerations to the case of two molecules with different masses. The general solution of Schrödinger's equation is then

   wikisource/note-on-quantum-statistics/page.txt

3. 03 · yt0.786

   Then you will say E_1 - R_1 I_1 - R_3 times I_1 - I_2. Now let's look here. You keep going the same way, but here you drop by an amount E_2. Then you've come over here and you come to the other end and you get 0. Now somebody can say, "Hey, why don't I start here, go around that loop and say that voltage difference is 0?" I'm getting the third equation, but there are only two unknowns. So you math-minded people should sort of know what will happen if I write a third equation. What do you think will happen? Student: Nothing. Prof: What do you mean, nothing will happen? Student: It's not going t…

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

4. 04 · yt0.779

   All right, so this is the story. So now comes the French physicist, de Broglie, and he argued as follows - you'll find his argument quite persuasive, and this is what he did for his PhD. He said, "If light, which I thought was a particle-- I'm sorry, which I thought was a wave, is actually made up of particles, perhaps things which I always thought of as particles, like electrons, have a wave associated with them." And he said, "Let me postulate that electrons also have a wave associated with them and that the wavelength associated with an electron of momentum p will be 2pℏ /p; and that this w…

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

5. 05 · yt0.777

   Maybe the equation says that if you start with an electron wave all spread out, it will sort of localize itself near some point and it will look like a particle. It turns out not to be true. The equations don't care about your feelings. It's the opposite. If you start out with a localized electron wave, it will spread out all over the place. So it was yet another physicist, Max Born, different than Niels Bohr, who pointed out the right way to think about Schrodinger's wave function. He said think about what happens when you measure a property of the electron, like its position, or its velocity…

   yt/_TBNJyztai0-sean-carroll-explains-the-biggest-ideas-in-the-universe-full/transcript.txt

6. 06 · yt0.774

   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

7. 07 · yt0.774

   But what makes it a non-empty statement is that there are many, many, many, many electrons which are absolutely identical. Look, you try to manufacture two cars. The chance that they're identical is 0, right? I got one of those cars so I know that. It doesn't work. It's supposed to. So despite all the best efforts people make, things are not identical. But at the microscopic level of electrons and protons, every proton anywhere in the universe is identical. And they can be manufactured in a collision in another part of the universe. This can be manufactured in a collision in Geneva, the stuff …

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

8. 08 · yt0.773

   They said there's aspects of light, which is supposed to be a wave, which are particle-like. Einstein said that. There are aspects of particles like electrons that are wave-like. Louis de Broglie, following work by Niels Bohr and others, said that. And this whole thing coalesces almost exactly a hundred years ago in 1925 in the theory of quantum mechanics. And almost right at the same time, two different versions of it came out. Werner Heisenberg had his version called matrix mechanics. Erwin Schrodinger had his version called wave mechanics. They show that they were actually mathematically eq…

   yt/_TBNJyztai0-sean-carroll-explains-the-biggest-ideas-in-the-universe-full/transcript.txt

9. 09 · yt0.771

   - Schrodinger had come up with the idea, but four years earlier, but had not developed it at all. So Everett was the one who didn't know about that, and developed it fully. But both of them used the Schrodinger picture. Therefore, their description of it was, had this problem that you change the wave function here, and it just, something changes over there. And its description of, for example, entanglement, is not intuitive. Because you move something at, you have two entangled particles. You move a magnet near one of the entangled particles, and it changes the wave function at the other one. …

   yt/Af5LICjFIBc-what-is-quantum-mechanics-really-telling-us-world-science-fe/transcript.txt

10. 10 · yt0.768

    What you need to know is there's a profile, there's a shape. There's basically a value at every point in space which says this is the wave function of the electron at every point in space. So go ahead and visualize it. If you ever took chemistry class and you saw those images of what are called orbitals in different kinds of atoms, those are literally pictures of wave functions. Those are values of the wave functions, different shapes the wave function of an electron can take in an atom. But just to show you that the universe is not gonna always go that easy on you, sometimes you have two elec…

    yt/_TBNJyztai0-sean-carroll-explains-the-biggest-ideas-in-the-universe-full/transcript.txt