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Irrational
(mander.xyz)
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This sounds really interesting but I'm afraid it's a bit high level for me. Can you explain how vibrations would cause quantisation? I'd also be happy with a link to the correct Wikipedia article or a paper which explains it. :)
This text book seems to cover the idea. https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/30%3A_Atomic_Physics/30.06%3A_The_Wave_Nature_of_Matter_Causes_Quantization I guess I'm drawing my ideas mainly from the Bohr model.