Feynman suggested that there is an infinity of trajectories for a single electron travelling from the source to the phosphorescent screen. He said that one electron goes through both holes (Fig 4.10, page 110, The Elegant Universe, Brian Greene).
Is it possible that there is a simpler explanation?
The double slits bear a parallel resemblance to the characteristics of a simple slot antenna equal to a simple dipole antenna. Can the incident electrons induce a charge into the area surrounding the slot and cause an electric field to be created between the slot edges. This would serve to convert the electron from a transverse particle wave to a longitudinal magnetic wave which is then radiated forward. The interference pattern is created as the output of each slot interferers with each other producing the interference pattern on the phosphorus screen. It would also explain why, when a sensor is introduced to monitor what is happening in the slit, it causes the magnetic wave to change back to a particle wave, because it has disturbed the field in the slots.