Are the sticks planes? Are the planes sticks? Do "magnetic monopoles" exist?
Georges Lochak is convinced to have discovered magnetic monopoles, as new leptons: http://aflb.ensmp.fr/conferences.html#peyresq2007 http://aflb.ensmp.fr/MEMOS/GLmonopole/CONF_monopole.pdf http://aflb.ensmp.fr/MEMOS/GLmonopole/GLmonopole.htm http://aflb.ensmp.fr/MEMOS/GLmonopole/ZsNaturforschung-GL2007.pdf http://aflb.ensmp.fr/MEMOS/GLmonopole/MONOPOLE.pdf http://aflb.ensmp.fr/MEMOS/Rotations_5.pdf ...
However, the theorem of the hairy bowl is against that, and is a not-negligible objector. It is impossible to comb a hairy sphere entirely. http://deontologic.org/geom_syntax_gyr/index.php?title=Les_quart-de-tours_entre_vecteurs_:_gyreurs#Les_.C3.A9quations_de_Maxwell.2C_d.C3.A9barbouill.C3.A9es_par_Albert_Einstein_en_1921
The generalized Stokes' theorem is for varieties that have an edge, and for differential forms that are differentiable. The sum of the gyror B (the differential of A, magnetic potential) on a surface with an edge is equal to the circulation of A on the edge. Two centuries ago, André-Marie Ampère had already drawn that for explaining the ferromagnetic materials. But what may be the edge of a spherical surface?
While Lochak admits that the symmetries of a vector and a gyror are opposite, he persists in drawing the gyror B by an arrowed stick as it was a vector. A hopeless case. If you conceive well, the drawing is easy.
The compared symmetries with drawings are on the wiki : http://deontologic.org/geom_syntax_gyr/index.php?title=Les_quart-de-tours_entre_vecteurs_:_gyreurs#Sym.C3.A9tries_compar.C3.A9es.
Now, three solutions :
1. I have all wrong.
2. Georges Lochak has discovered new leptons, but they are not "magnetic monopoles".
3. An unsuspected not-locality intervenes here.
Your observations, please?