Views : 256,552
Genre: Science & Technology
Date of upload: Streamed live on Aug 4, 2020 ^^
Rating : 4.8 (30/570 LTDR)
RYD date created : 2022-01-26T13:38:17.964089Z
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Top Comments of this video!! :3
Basically, I would call the abstraction of such a network a filter design. After a while trough the network you will find a path of lowest resistance between given by input and output.
Maybe like a potential difference, say like in a circuit where the path is the least resistance in a conductor, or a flash in an ionized field in a thunderstorm, or the simplification of a complicated mathematical expression (which would be an ideal path compared to the physical phenomena which alway produce some jitter). I would also compare it to a slightly more complex form or different representation of a neural network, where multiple neurons form a functional group (like a cellular automaton). But I don't see any benefit in computational problems that still need to be serialized, even if we were talking about a complete filter frame (out of a series of frames = motion). Even if we hope that a single frame is available immediately, it will not be computationally feasible. Perhaps quantum computers would come into play here, but that again raises new problems such as statistical accuracy.
If we knew all possible initializations in the filter structure (which would be needed to filter anything), we would need a consistent memory and feed it in somehow, which also takes time. (This would be comparable to storing the weights in a neural network) How are we supposed to describe the individual components nodes, connections, memory, clock (which would be frame and sub-frame cycles, which would actually work as binary counters, but...) only with binary patterns, if we use these cellular automata as a basis? This description, too, has to be stored in a memory that would then describe itself with itself. Isn't that a paradox?
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Woke up to this as well. It manifested in my sleep as a really long dream where I was back in a classroom and my highschool English teacher was explaining to us that information itself actually exists in its own space-time, or something very much like it, and that every time we associate one piece of information with another we're actually just curving the space-time analogue that information exists in. Absolutely wild.
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Wolframsā framework is indeed discrete, finite, and digital. He has matter, energy, space, time, emerging from underlying digital graphs. I read his āA new kind of Scienceā many years ago as I was using his Mathematica at the time. It wasnāt strange for me because it fitted in with my own thoughts as the Universe being a fabric of sorts, and of course, THOHAE. What I do find extraordinary, is that heās now been able to derive relativity and quantum mechanics from this framework. Incredible! I mean, thatās a real WOW!
Then, many years later, along comes our Patron Saint JBP and his āField of Potentialā. Itās all so beautifully the same. I maintain thatās why he resonated so much. Strange actually, he wrote MOM around the same time as SW wrote ANKOS, (and worked on it for just as long) but Iād never heard of him. My New Years wish would be for them to talk.
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3:04 Looks like the orthogonality property can be utilized here in a formal way.
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@WolframResearch
3 years ago
Find the notebook for this session here: www.wolframcloud.com/obj/wolframphysics/WorkingMatā¦
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