Phase transitions reflect the elegance of coherence, the creative force behind Nature. https://ishinobu.com/8s16-2-5/
Mathematicians are closer than ever to proving that a wide range of phase transitions — critical points when physical systems change from one state to another — display the same mathematical elegance. https://www.quantamagazine.org/mathematicians-prove-symmetry-of-phase-transitions-20210708/ …pic.twitter.com/FEMPpks1zn
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Kiitos. Käytämme tätä aikajanasi parantamiseen. KumoaKumoa
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Closer than ever, eh? Well, I'm glad they're at least not getting 𝘧𝘢𝘳𝘵𝘩𝘦𝘳.
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My fear is now that they are closer than ever to understanding phase transitions, they might get a first-hand experience on "critical slowing down" :P
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So if I am understanding this correctly, we are trying to prove that the boundary between two lattice-like patterns is fractal-like? I think this makes sense intuitively, fractal structure would bridge the gap for being able to exhibit multiple distinct structures simultaneously.
Kiitos. Käytämme tätä aikajanasi parantamiseen. KumoaKumoa
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Filling random squares of a lattice by picking the xy coordinates of the occupying pixels from random number tables simulates percolating systems. Kaye B H, “A Random Walk through Fractal Dimensions”, VCH, 1989, p216
Kiitos. Käytämme tätä aikajanasi parantamiseen. KumoaKumoa
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"rigorous way to prove that an unusually strong symmetry is universal across physical systems at the mysterious juncture where they’re changing from one state into another" i am lost send help
Kiitos. Käytämme tätä aikajanasi parantamiseen. KumoaKumoa
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