Spin Relativistic

4-fold C=1/4 loxodrome spherical helix magnetic flux approximate manifold for the electron

by  Emmanouil Markoulakis


( → more accurate version )   stop this animation ↑

© Emmanouil Markoulakis, no permission for any use, distribution or modification.
Active publication material, March 2020. Hellenic Mediterranean University
contact: markoul@chania.teicrete.gr
 
cross-section
of above explanatory animations

see also EM's   model of the atom
 

 
animations by w. daeumler ( artmetic / horn torus )
 
wd's version of the parametric form for above animations:
x = r·(1 − cosφ)·cos(φ/c ∓ Δω)
y = r·(1 − cosφ) · sin(φ/c ∓ Δω)
z = r·sinφ,  with c = 0.50      
Δω = Δω(t) makes artificial rotation around axis
(to get a continuous trajectory with 12 loops, c slightly was altered to 0.48)
definition of φ