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 · yt0.757

   What do you mean   that it's all talk and not reflected in the  formalism? And also port, because people keep   hearing this word port. Port is spelled  P-O-R-T and refers to the boundary ports. Yes, there are boundary ports, there are  other ports. It's very easily explained   if we write it down. We can't do that  right now. They're simple examples. Well,   the point is, what is not reflected is…  You have a total energy that's conserved,   and of course you can define a potential and a  kinetic energy, and you s…

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

2. 02 · yt0.744

   Classical view, continuous motion, electrons radiate, atoms collapse. A huge puzzle, >> a complete dead end for classical mechanics. Really, if it were true, matter shouldn't exist as we know it. >> So bore just throughout continuity. >> Essentially, yes, at that level. His radical assumption. Electrons live only in specific stationary states. And crucially, while they're in one of these states, they don't radiate energy. >> So they're stable there. >> Exactly. They only emit or absorb energy like light when they jump from one allowed state to another. >> So…

   yt/PBcC7-d8FbU-niels-bohr-1885-1962-the-man-who-let-motion-quantize-itself/transcript.txt

3. 03 · yt0.742

   Welcome to the deep dive. Today we're tackling well a classic puzzle in physics. Why don't atoms just fall apart? >> Right. I mean, think about it. The early picture was like a mini solar system, right? Electrons orbiting a nucleus. >> Yeah, like tiny planets. But classical physics had a huge issue with that picture. >> A massive issue. Those orbiting electrons, they're accelerating. And accelerating charges should radiate energy continuously. >> Meaning they'd lose energy, spiral inwards, >> and crash straight into the nucleus. Boom. The atom should be unstable, …

   yt/PBcC7-d8FbU-niels-bohr-1885-1962-the-man-who-let-motion-quantize-itself/transcript.txt

4. 04 · yt0.738

   But wait a second how can we make sense out of that statement the universe is infinite if we are measuring it from a sense of having a beginning. And this is what we're going to talk about now. If we value the pursuit of knowledge we must be free to follow wherever that search may lead us. The free mind is not a barking dog to be tethered on a 10-ft chain. Today, I want to talk about two specific energies that can be expressed through this image. The energy that flows here is male and female energy. Male energy is focused, and female energy is creative and random. Neither of them is greater no…

   yt/09YGgT8XN_I-flower-of-life-and-sacred-geometry-movie/transcript.txt

5. 05 · yt0.737

   They obey the same equation; they have the same results. All right, now let's find the kinetic energy of a rigid body. It's got mass, and if it's spinning, all the little atoms making up the body are moving, and they've got their own ½ mv^(2). And we want to ask, "What is the total ½ mv^(2) summed over all the particles?" For that purpose, it's convenient to take the following simpler rigid body. We take a rigid body by taking a mass m_1 at a distance r_1, connected to some central hub with a massless rod, and you take another mass, and you take a third mass. This is m_2, at a distance r_2, th…

   yt/mx2P1_M-7UA-9-rotations-part-i-dynamics-of-rigid-bodies/transcript.txt

6. 06 · archive0.736

   In the first chapter no attempt will be made to give any parts of classical dynamics but those which are useful in the treatment of atomic and molecular problems. With this restriction, we have felt justified in omitting discussion of the dynamics of rigid bodies, non-conservative systems, non-holonomic systems, sys- tems involving impact, etc. Moreover, no use is made of Hamilton's principle or of the Hamilton-Jacobi partial differential equation. By thus limiting the subjects to be discussed, it is possible to give in a short chapter a thorough treatment of Newtonian systems of point particl…

   archive/introductiontoqu031712mbp/introductiontoqu031712mbp_djvu.txt

7. 07 · _intake0.732

   The critical difference between the “past” and “future” times only exists if heat is present. Heat is a red frequency of light and it makes atoms and molecules move in certain ways. Red light makes things with a mass move. The directions of these motions are critical to understanding probability and to understanding time. Quantum mechanics is the science of probability. In the 21st century, statistical mechanics of heat movement has now been extended to electromagnetic and quantum phenomena by QED. This is called thermodynamics. Today, because of Boltzmann, we know both space and time must vib…

   _intake/kruse-blog-corpus/articles/time-18-divorcing-einstein-using-times-pointed-arrow.md

8. 08 · blog0.730

   The root problem involves a collision between the discrete and the continuous. There are some things we want to see as absolutely smooth, gapless, and whole, call them continua ; however, certain modes of thinking about continua force us to rely on discrete entities to measure or analyze them. A modern example might be the geometric line and any set of numbers we lay against it; it is not easy to relate a set of discrete objects such as the real numbers to the absolutely smooth line of geometry in a way that is practically and conceptually satisfying. The medieval debate reflects a similar col…

   blog/plato-stanford-edu/walter-chatton.md

9. 09 · yt0.729

   Well, it's the kinetic energy of each mass summed over all the masses i, m_iv _i^(2). Now, what's the velocity of each object? If you take this body, m_1, its velocity is necessarily perpendicular to the line joining it to the point of rotation. This one is moving this way; it cannot move in the line joining it, because if it is it's not a rigid body. For a rigid body, all distances are maintained. So, you don't come near the center and you don't go far from the center. So, all you can do is rotate around the center. So, the velocity of this guy, v_1 = ωr_1. The velocity of this guy, v_2, is t…

   yt/mx2P1_M-7UA-9-rotations-part-i-dynamics-of-rigid-bodies/transcript.txt

10. 10 · pubmed0.728

    We consider the possibility that classical dynamical systems display motion in their lowest-energy state, forming a time analogue of crystalline spatial order. Challenges facing that idea are identified and overcome. We display arbitrary orbits of an angular variable as lowest-energy trajectories for nonsingular Lagrangian systems. Dynamics within orbits of broken symmetry provide a natural arena for formation of time crystals. We exhibit models of that kind, including a model with traveling density waves.

    pubmed/PMID-23215057-classical-time-crystals/info.md