Earlier quoted context omitted.
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.
find one. I dare you.
Jeandel-Rao Aperiodic Tiling as a Geometric Basis of the Fine-Structure Constant
11–14 of 14 posts
Re: Jeandel-Rao Aperiodic Tiling as a Geometric Basis of the Fine-Structure Constant
#12Earlier quoted context omitted.
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.
Re: Jeandel-Rao Aperiodic Tiling as a Geometric Basis of the Fine-Structure Constant
#13i wrote this. thoughts?
> 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.
Re: Jeandel-Rao Aperiodic Tiling as a Geometric Basis of the Fine-Structure Constant
#14Earlier quoted context omitted.
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