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 · yt0.886

   So now the topology is   all messed up. These are going to have the  same causal structure because every point   is causally related to every other in both of  them. So there's a causal isomorphism. They   have the same causal structure, but  they have very different topologies. And the beauty of what David did is he said,  how weak can we go here in terms of what's   the minimal level of causal structure that we  need to show that causal structure determines   the shape of the universe? And so he went  to work on …

   yt/iGOGxaZZHwE-it-s-not-that-we-don-t-know-it-s-that-we-can-t/transcript.txt

2. 02 · blog0.829

   See the above-mentioned entry on Newton’s view of space, time, and motion as well as the entries on Leibniz’s philosophy of physics , classical theories of absolute and relational space and motion , post-Newtonian theories of absolute and relational space and motion , and the hole argument. 3. The Topology of Time It’s natural to think that time can be represented by a line. But a line has a shape. What shape should we give to the line that represents time? This is a question about the topology, or structure, of time. One natural way to answer our question is to say that time should be represe…

   blog/plato-stanford-edu/time.md

3. 03 · yt0.821

   And you see, there are if you can have a time-like curve connecting one event with another one, then it can causally affect it. Whereas, if it's space-like connected, there's no time-like curve connecting them, then you can't causally affect it. So, there's a whole sort of body of theory which was taken over by other people and they developed in other ways of what you call causal sets. Where you may not think about continuous manifolds. They can be just sets of points with their causal connections and so on. I'm only mentioning this because I was worrying about this in connection with making i…

   yt/vC4HNcqTQXk-roger-penrose-on-mind-consciousness-closer-to-truth-chats/transcript.txt

4. 04 · yt0.817

   Let me explain one an example of one thing that you can see two things you can see. So there are a bunch of physical effects that people know about which end up with very kind of mechanical explanations in these models. So for example, time dilation. So in relativity, a thing that's going fast, time seems to be running slower for it than something which is standing still relative to relative to the observer so to speak. And so how does one understand that in these models? Well, the if you have a thing like a particle that is made from a whole sort of tangle of pieces of this network, then that…

   yt/OWyugUdBups-stephen-wolfram-computation-at-the-foundations-of-everything/transcript.txt

5. 05 · yt0.814

   You can collect evidence forever, any kind  of empirical evidence you could ever imagine. And   the idea of that not being enough to pin down  what the universe is like, that's something   that naturally pops up in theories of space and  time. So I don't think GR is special here. I think   you can prove a similar kind of theorem pretty  much in any space-time theory that's modeled on   a manifold with geometric structures on it.  So a Newtonian version of space-time physics,   you'd have similar results there. So I&nbsp…

   yt/iGOGxaZZHwE-it-s-not-that-we-don-t-know-it-s-that-we-can-t/transcript.txt

6. 06 · yt0.813

   It's those kind of chains where there's for one state, you go only to one new state, the same one all the time, and that always goes to the same new state. So, you cycle. So, those have the right Lorent contraction, the same as the um as the time contraction. But what's interesting is so so so now I've been working uh on this. It looks to me like I can now embed these end cycles into it looks like I can boot up manowski space entirely from them. So, so we we haven't proven the theorems. You're not done until you're done. But, but I see no obstruction. Looks it looks to me I would say 99.99% no…

   yt/Hf1q-bZMEo4-what-are-traces-of-consciousness-a-new-breakthrough-unifying/transcript.txt

7. 07 · blog0.811

   The point events \(e'_1\) and \(e'_3\) on the left of Figure 7 are space-like separated, while, on the right picture, \(e'_1\) and \(e'_3\) are with respect to each other neither causally future nor causally past nor causally contemporaneous. Within a given history, then, space-like separation is just incomparability, which agrees with the corresponding definition in relativistic space-time. The relatively simple framework considered in this section is widely developed in Belnap, Müller, and Placek (2022) and in other works to obtain a rigorous theory that combines relativity and indeterminism…

   blog/plato-stanford-edu/branching-time.md

8. 08 · yt0.808

   Sure, but there are some questions in   there that perhaps you can illuminate me on,  because where does the causal structure come   from? Because just naively we could live in a  Newtonian universe in which there isn't a speed   of light limit on the speed with which signals  can transmit from location to location. How does   your model eliminate that logical possibility?  Or, is it simply that's another set of rules   that do not yield the Einstein equation? No, I don't think you could make a version   of the mod…

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

9. 09 · yt0.807

   But the thing is is that figuring out this hierarchy is tough for physicists because they're so trapped in spaceime that they're they're focused on size. So if you see people trying to come up with a theory of everything all the time, uh it's like atom, molecule, cell, organism, planet and then you know galaxy or solar system then galaxy and then universe. This is focused on size. So you're not actually this is not a fundamental theory because it is it is built on the axiom of size already you know existing as an axiom or as a you know presupposition and that is not fundamental. So you have to…

   yt/HUDEUJgZzew-vertical-causation-scientism-wolfgang-smith-richard-smith-ka/transcript.txt

10. 10 · yt0.804

    So it's as if these realms approximately are parallel to each other in the sense that the odds of them coming back together and affecting each other, exponentially drops very close to zero. What would that be lacking, in your way of describing things right now? - Yes, so it's lacking the structure that you've introduced after saying what it is. You said it's a Hilbert space, and the state is a structure in that Hilbert space. And then everything you said after that is not derived from the fact that it's a Hilbert space. It's derived from the fact that the Hamiltonian takes a certain form. Why …

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