Jeandel-Rao Aperiodic Tiling as a Geometric Basis of the Fine-Structure Constant

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3 points·rikeanimer··12 comments

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I just see a generic Google Drive page saying I need to request access. You may need to set public access...

correct. sorry. fixed.

i wrote this. thoughts?

None so far, because I have no google account to login with. Which seems to be required?

Maybe change that setting somewhere, to public, or so?

think i just fixed. made public like you suggested. face palm.

I think it's a little preposterous to conjecture that the inverse of the fine structure constant is "governed" by the expression N^2+C^2 + ((1+sqrt(5))/2)^(N-C) with N=11 and C=4. You can probably find hundreds more approximations by other arbitrary formula of similar complexity, all lacking in explanatory power of why the formula should look like that.

is the number accurate or not? and minimal aperiodic tilings of the infinite plane are not uninteresting, they are related to turing completeness. whatever. how accurate is it? you tell me.

It's far from accurate, since ((1+sqrt(5))/2)^-7 ~ 0.03444

ugh

find one. I dare you.

> thoughts?

I have a few:

What's the "Hypothetical Institute of Mathematical Physics"?

What does 'a reflection of the total phase space or ”complexity weight” of the minimal aperiodic vacuum.' mean?

phi^-7 !~= 0.035998811... it's ~= 0.0344418537...

Section 3.2 is just gobbledegook.

You probably need to get a better bot but it was a fun read. Thanks.

sigh. your probably into the Copenhagen interpretation. buhbye.

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