Spin Relativistic
Horn sphere model as relativistic magnetic flux manifold for the electron


( → more
explanatory version )  
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© Emmanouil Markoulakis, no permission for any use, distribution or modification.
Active publication material, March 2020. Hellenic Mediterranean University
contact:
markoul@chania.teicrete.gr
→
horn spheroid golden mean model  
see also EM's  
model of the atom
 
 
animations by
w. daeumler (
artmetic /
horn torus )
 
parametric form for the trajectories above:
x = r·(1 − cosφ)·cos(φ·√2 ∓  Δω)
y = r·(1 − cosφ) · sin(φ·√2 ∓  Δω)
z = r·sinφ    →
definition of φ 
Δω = Δω(t) makes artificial rotation around axis
to get one continuous trajectory with 22 loops
√2 is approximated by rational number 31/22
 
 
compare:  
horn spheres as →
graticule (1:2)
  and as perfect →
spheres  (1:1)