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Our Fractional Universe
- 082349872349872 2y agogradschoolfail, this is not only a post à clef, but one with a certain sophistication: > ... So at one extreme you have decimal representations of fractions like 1/3 that are rather boring, and at the other extreme you have decimal representations of fractions like 1/71 that are chaotic, but in between there’s a fascinating regime of decimal fractions with a third sort of behavior, neither boringly predictable nor boringly random-looking, but genuinely complex, and these decimals are capable of embodying every forms of computation!” Silicon leaned back in his chair. “I’ve devoted my entire career to classifying and understanding all the things decimal fractions can do. This isn’t just math—it’s a whole new way of thinking about computation and complexity.”
- gradschoolfail 2y agoWe are returned to seeking answers from science fiction.. (formerly just business fiction Raowise, but also due to too much good faith coarsegraining by local deities) https://arrowtheory.com/pub/index.html https://arrowtheory.com/pub/index.html Now we just need to figure out who JG is, because.. that conversation with EW seems to have actually taken place. EDIT: for something less fictional (& hence less believable: https://www.sciencedaily.com/releases/2024/09/240912135848.htm https://www.sciencedaily.com/releases/2024/09/240912135848.h... “The frontier of physics is number theory.” —Peter Sarnak, deity of TFA’s locality, to be doubted since this utterance was totally public E,g, Hamburger Enigma https://en.wikipedia.org/wiki/Carathéodory_conjecture https://en.wikipedia.org/wiki/Carathéodory_conjecture
- 082349872349872 2y agoIs it possible to do something similar to generalised eigenvectors to recover an orthogonal frame at umbilicals? (well, not on a sphere, but at least in the low-umbilical-count regime?)