Spin Relativistic

Horn spheroid golden mean model as relativistic magnetic flux manifold for the electron

by  Emmanouil Markoulakis

golden ratio horn spheroid, angle 54.7° between trajectories and axis (at equator)
view also spin and  magnetic moment vectors (in different perspectivic depictions)
© Emmanouil Markoulakis, no permission for any use, distribution or modification.
Active publication material, Jan 2020. Hellenic Mediterranean University
contact: markoul@chania.teicrete.gr
similar trajectories 7 : 6 / on sphere
see also EM's   model of the atom

animations by w. daeumler ( artmetic / horn torus )
parametric form for trajectories above:
x = (r/Φ)·(1 − cosφ)·cos(1.1441φ ∓ Δω)
y = (r/Φ)·(1 − cosφ) · sin(1.1441φ ∓ Δω)
z = r·sinφ     Φ = 1.618 (golden ratio)
φ is the poloidal angle,  2n·π at spheroid center
Δω = Δω(t) makes artificial rotation around axis