Spin Relativistic

Horn sphere model as relativistic magnetic flux manifold for the electron

by  Emmanouil Markoulakis


 ( → more explanatory version )   resume  animation ↑ 
© 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  → compare both
see also EM's   model of the atom
 

 
animations by w. daeumler ( artmetic / horn torus )
 
parametric form for the animated trajectory 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)