http://www.preposterousuniverse.com/blog/2018/09/25/atiyah-and-the-fine-stru... On Wed, Sep 26, 2018 at 10:53 AM Cris Moore <moore@santafe.edu> wrote:
Can anyone make head or tail of Atiyah’s article? I looked in vain for a clear statement of how to calculate the fine structure constant, which would be great whether or not it has anything to do with the Riemann hypothesis. But paragraphs like
"The value of ð(n) that emerges from these calculations varies with the arithmetic mod 16 of the starting point. To eliminate this variation, we should start with 0 mod 16, so that we get unbroken blocks. Musicians, following Pythagoras, will notice the close analogy with octaves in both major and minor keys. Our starting point, to avoid dissonance, should be the key of C major.”
...seem completely hallucinatory.
- Cris
On Sep 25, 2018, at 4:22 PM, Henry Baker <hbaker1@pipeline.com> wrote:
How can it be possible for a proof of RH to be so short?
As an aside, these Todd polynomials have some pretty interesting properties for approximating stuff, so they must have been utilized for other things already, right??
At 10:43 AM 9/25/2018, Fred Lunnon wrote:
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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