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Post by Baron von Lotsov on Jul 8, 2024 18:37:54 GMT
Do you like a bit of maths when you wake up in the morning? If you do then this video is for you. It's about geometry and topology. Indeed it is the basis of how the universe works. All the fundamental particles, such as the electron and so on relate to groups, and these are called SU(2) and SU(3). If you wondered what exactly these groups are, you need to start with the way geometry works. Anyway, I hope it helps to take the mystery out of physics and explain why things work the way they do.
It's nicely explained and hence why I thought it worth posting. It will also give you a bit more idea how higher level maths works without being incomprehensible to the layman.
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Post by Baron von Lotsov on Jul 13, 2024 18:37:57 GMT
If you got the hang of the maths of spinors, then if you have a further 3hrs to spend, you can always check this video out by the same guy. I started watching it the other night but fell to sleep, so I will give it another go. It did appear to be interesting, and how this is so, is it shows you how you plug the concept of spinors into the physics to explain electromagnetism and how electromagnetic waves propagate. This as not how they taught you at school. The school book version leaves you wondering all these things about nature, where with this treaties we can see how these things must be so as they come from geometry itself. Physicists have known these things for sometime, but dare not confuse the school children as it all gets very complicated. It also teaches gauge theory, which is another useful mathematical tool for the toolbox. It's used in many areas of physics, not just particle physics.
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Post by piglet on Jul 16, 2024 8:32:43 GMT
I like to do maths first thing in the morning, addition is good to see if ive got the change in my pocket for a paper. Ive often wondered how iron filings get attracted to magnets, ill have to watch it.
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Post by Baron von Lotsov on Jul 20, 2024 11:28:26 GMT
I like to do maths first thing in the morning, addition is good to see if ive got the change in my pocket for a paper. Ive often wondered how iron filings get attracted to magnets, ill have to watch it. I bet they did not tell you electromagnetism is really two spinors. These are are a 4-vector of complex numbers which according to its configuration is spin up/spin down and either an electron or a positron. You can derive Maxwell's equations from the Dirac equation, which is a relativistic version of the Schrodinger equation. All your electromagnetism is, is the geometric properties of space. The big step forwards in physics was when Dirac created his equation, which is considered to be one of the most important equations in physics. It's hard enough to work through all the maths, but to think how Dirac came up with this in the first place is rather mind boggling. He was one of the true geniuses, and far smarter than Einstein. We have a wiki page on the equation here. It's more like a fat book.
A lot of this physics has to do with symmetry. For example if you had a physical system and then you either rotated it or moved it 2 foot to the right, the same things should happen in that system, because space and rotation are arbitrary. Indeed this is how we get Maxwell's equations, by preserving the symmetry of the Dirac equation. It's so neat the way it all fits together, but you are left with the feeling school did tell you a few porkies. Electricity and magnetism don't actually exist as a thing.
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Post by piglet on Jul 20, 2024 13:23:34 GMT
Im sleepy. Your parading of someone elses knowledge is boring, why do you do it? Its not you...its someonne else.
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Post by Baron von Lotsov on Jul 21, 2024 10:17:41 GMT
Im sleepy. Your parading of someone elses knowledge is boring, why do you do it? Its not you...its someonne else. What do you mean? |
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