Higer dims: Electromagnetic field lines and stereographic projection

mardi 29 octobre 2013

I've noticed that electromagnetic field lines are very similar to stereographic projection of 3D sphere on 2D surface. Pictures below.







In such comparison, electric field represents longitude and magnetic field represents latitude. For more visualization see: http://youtu.be/wFVlzRE_3-o?t=10m20s



Any insights on such observation? Is there any particular reason why this is the case?






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