Star Crossed Lovers

The problem with paired orbit is,

the electrons have two orthogonal spins, each.  Up, down or both Up (both Down is equivalent to both Up).  The electron spins in the same sense at the greatest distance apart across the diagonal of the orbit.

The electrons cannot spin in the opposite sense on the plane of the torus because they would then approach each other face-on twice in a period.  Each time requiring high kinetic energy on approach, and as kinetic energy converts to potential energy, the electrons orbital velocities change.

They don't meet.