You’re a crackpot! What is an atomic field? Are you referring to the electromagnetic fields generated by subatomic and ionic particles? If so, they are indeed a linear superposition, whose constituents do have wavefunctions, which do include (spherical) harmonics.
Re:Spirograph
by reasonabl_human on Monday March 08, 2021 @11:58AM
(#26388061)
AFAIK, no such thing as a particle as traditionally discussed exists at the subatomic level. A ‘particle’ is really a quantum excitation of the appropriate field. At least that is how we learned it in particle physics using current field theory and Feynman diagrams
The Wild Gears sets ( https://www.wildgears.com ) have enticed me a few time... though so far, I've been able to hold off on buying them for myself.
Spirograph Designs Compilation:
https://www.youtube.com/watch?v=39vZEvUBeSs
Wild Gears: Triangle Gear 120 in Ring 210 with Birdsong
https://www.youtube.com/watch?v=eC9dGWEc10Q
PDS: Speculation:
There is a relationship between the Spirograph toy -- and Fourier Series:
"But what is a Fourier series? From heat flow to circle drawings (3Blue1Brown)":
https://www.youtube.com/watch?v=r6sGWTCMz2k
PDS: Also, if I were to go for "full crackpot" (which I will, because I usually do! <g>) -- I'd speculate that fields, such as atomic, and subatomic fields (all particles -- because particles are basically all fields which act as particles) are "Spirographic"/Fourier Series in nature...
Yeah, I know...
"You're a crackpot!"
<g>
(Oh, an even more crackpot conjecture... I'd bet you could derive all of the quantum particles... from Spirographic designs/Fourier Series...)