New Pi Formula (the extra physics bit) - Numberphile
38,344
2024-07-20に共有
The paper on Physics Review Letters: journals.aps.org/prl/abstract/10.1103/PhysRevLett.…
And on arxiv: arxiv.org/abs/2401.05733
The Case for String Theory: • The Case for String Theory - Sixty Sy...
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コメント (21)
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The main video is at https://youtu.be/nXexsSWrc1Q and the interview with Sinha and Saha is at https://youtu.be/2lvTjEZ-bbw
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When you've just come up with a new way of doing a calculation, it's useful to put in some values where you know that the right answer is something well-known but not trivial. You can be pretty sure you haven't made a mistake if you find a new series that your result says will converge to pi, and taking a lot of terms gives a result that's very close to pi. If you come up with a way to calculate expressions that nobody know the answer to, it's hard to tell whether you have a typo along the way.
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Pi and pions are related after all!🤣🤣🤣 It is hilarious that someone asked "How are pions related to the number pi" and got a no.
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Great work! I love it when we get more details about these stories.
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I love watching Tony get excited about new papers & results. His joy is infectious 😁😁😁
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He makes a strong case the paper is interesting in a way totally unrelated to the pi thing haha
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Exciting things coming g from string theory.... in 10 years... lol🎉😂
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I love numberphile so much
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Extraordinary visual output in this video re: CERN.
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Recipe for Pi, haha, I got that one.
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That's pretty neat.
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So nice!
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Fun stuff
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So they found a way to make the string theory equivalent of an effective field theory? Did I get that right?
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Considering how complicated the formula is, does it give better approximation when computation cost is considered rather than just the number of steps? On another note, does it make string theory actually falsifiable?
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Could this imply that now some part of string theory can be tested?
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Am I right that the Beta(1/2,1/2) gives not pi exactly, but (sqrt(pi)/2?
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Did we learn something important about Euler function or not?
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Could someone tell me a source for the graph found at 2:40?
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6:23 On-Screen (towards the bottom): ".....new....representations of....π, which show fast convergence." In the 'Part 1' video, it was discussed how the convergence of this new formula was extremely slow, and the authors stated that they never claimed that it was fast. And yet I see, "...π....fast convergence." Is the π symbol quoted above the common 3.14..., or is it something else? (Just in case that's the explanation.) 🙂🙂🙂🙂🙂🙂🙂 .: confused :.
