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Post by Baron von Lotsov on Mar 11, 2023 13:50:25 GMT
I came across this idea in a dumb pop science video but because it was so dumb I refrained from posting it. Now I have a better video that explains it properly, or at least gives you an understanding of how one models it with maths.
As you might recall, the Ising model is a theoretical model that is often used to explain magnetism. With magnetism in a material there are many small magnetised domains. The model works by describing each of these domains as a small magnet pointing in a particular direction, either up or down. The model is just a square grid of magnets, each either pointing up or down and each able to change direction. True, it is a very crude approximation, but it does capture the main essence of magnetism pretty well and is why you would learn it at school. At school you are taught that a magnetised material is where most or all of the domains are aligned in one direction, where a completely demagnetised material should have equal numbers of up and down randomly mixed so all the individual fields cancel out at a distance. And that's it. That's all you are told in school about the Ising model and so easy to forget and discard. However we start to discover many interesting properties if we do the maths in a rigorous way. Like for example there is a critical point where you end up with a power law where it becomes a perfect fractal. This is how the brain works, at this critical point. The brain is a canonical ensemble.
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Post by Baron von Lotsov on Mar 13, 2023 13:13:35 GMT
It's a shame no one has taken an interest here. I personally found this discovery a very good application for maths and what it reveals is very interesting and could explain a lot. It's part of a subject called complexity theory. Even with very simple systems you can get very complicated behaviour. It can predict some things about intelligence such as if you brain should deviate from this critical point it will fail to operate properly. It will be incapable of long range interaction, or what is sometimes called lateral thinking.
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