[math-fun] fine structure constant, Pi, euler formula and approximations : Atiyah paper on the F.S. constant
Hello, I have found the article of Atiyah about the Todd function and the fine structure constant, in this paper Atiyah reinvent Euler's Formula : exp(I*Pi) + 1 = 0 in a very surprising way. https://drive.google.com/file/d/1WPsVhtBQmdgQl25_evlGQ1mmTQE0Ww4a/view If you can't get it, I made a copy here: plouffe.fr/2018-The_Fine_Structure_Constant.pdf Bonne lecture, best regards, Simon Plouffe
I found one mistake. Atiyah claims that "nobody has ever wondered what the Universe would be like if π were not equal to 3.14159265..." A quick Google search suggests otherwise.
The text of MFA's Monday lecture (weirdly unreadable on YouTube) is at https://drive.google.com/file/d/17NBICP6OcUSucrXKNWvzLmrQpfUrEKuY/view Generally speaking, even when a paper is concerned with a topic of which I know next to nothing, I can very quickly form an impression of whether it is ground-breaking, authoritative, pedestrian, amateurish, crackpot, etc. But not on this occasion ... WFL On 9/25/18, Simon Plouffe <simon.plouffe@gmail.com> wrote:
Hello,
I have found the article of Atiyah about the Todd function and the fine structure constant, in this paper Atiyah reinvent Euler's Formula : exp(I*Pi) + 1 = 0 in a very surprising way.
https://drive.google.com/file/d/1WPsVhtBQmdgQl25_evlGQ1mmTQE0Ww4a/view
If you can't get it, I made a copy here: plouffe.fr/2018-The_Fine_Structure_Constant.pdf
Bonne lecture, best regards,
Simon Plouffe
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Fred Lunnon -
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Simon Plouffe