So these "dimensions" (sic) are potentially infinite in everyday terms, rescaled (as it were) so that the "dimension" of the entire space equals unity; I'm guessing this is somehow connected to formalising quantum-theoretic renormalisation? WFL On 9/26/18, Tom Duff <td@pixar.com> wrote:
He's referring to von Neumann's Continuous Geometry: https://en.wikipedia.org/wiki/Continuous_geometry
On Tue, Sep 25, 2018 at 6:10 PM Fred Lunnon <fred.lunnon@gmail.com> wrote:
Erm --- bottom of page 1 in
https://drive.google.com/file/d/1WPsVhtBQmdgQl25_evlGQ1mmTQE0Ww4a/view << factors of Type II in which dimensions take all (positive) real values,
Alright, I'll buy it: where can I find an example of a C*-algebra with finite non-integer dimension? (Only another 16 pages ...)
WFL
On 9/25/18, 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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