A classical model of some sort is necessary to continue the discovery process even if it is only “curved space” as in Einstein’s model.
Understanding the physical world without having a model of some sort is like lousing your sight during a search.
A blind search will consist of trial and error instead the identification of key information which is directed by the use of a model.
An in fact you use this your self and refer to it as “gut instinct”, intuitive, or obvious even when you don’t formally compose a model.
If you like “intangible” models better how about this?
A entity consists of multiple standing waves which have slightly different frequencies.
At a point in time the waves combine to form a composite larger wavelength.
We perceive the entity at this point in time as a “wave” entity.
The multiple waves now achieve exact alignment which causes an extremely short wavelength and a much higher energy density.
We know perceive the entity as a particle.
If you interact with the entity while it is in a wave form it will respond with wave properties.
If you interact with the entity while it is in a particle form it will respond with particle properties.
Richard you said:
A single electron does not form the interference pattern. We have to sum over many electrons, all arriving singly, in order to get the interference pattern.
But I could say that one electron does indeed form an interference pattern in that it has been diverted from its bullet path to an alternate interference strike point. This must be so if the final result of many “single electron strikes is the interference pattern, then each individual strike must provide a small component of the pattern.