If you want to argue against my theory, your only option is to explain why my equation will not detect anything useful.
I think an experiment would be more useful as theories may not portray the reality exactly.
And you still depend on electrical force between your electron and those particles in a ring. The distance doesn't matter. If there are electrical forces measurable there will be a photon exchange.
I think of the wave function as a cloud. That cloud consists from the start of one electron only. As the electron moves forward it emits a photon which stays close to the electron. The cloud now consists of an electron and a photon. The farther the electron moves, the more energy is transferred to the photon, and the bigger the cloud/wavefunction becomes in volume as the photon swirls around together with the electron in bigger and bigger orbits.
Then you make some kind of electric force apply to the cloud, and no matter how little that electric force is...
The photon then moves out of the cloud, shrinking the cloud to one electron only which is said to "collapse" the cloud/wavefunction and precisely defining the position of the electron at the same time.
I don't think this is a strictly scientific view, but I think it's important to know that any electric force releases a photon from the electron, removing the interference pattern.
Maybe someone else knows more and have a better model explaining this?