I have been thinking a lot about the double slit experiment and am wondering whether any theorist has ever considered the following interpretation for wave-particle duality:
Could the reason we sometimes detect particles actually be because we are detecting the crest of the wave? This interpretation would suggest there is only waves, no duality, and that certain observations measure crests which then appear to us as particles. Imagine, for example, a sine wave on an oscilloscope. If you cover everything but the very top line it looks like a stream of particles.
In the research I have done, I have not come across this idea, though it seems consistent with various theories and the underlying mathematics. Some ideas, for example that the electron is a standing wave, do imply we interpret the crest as a particle.
Can anyone tell me if any theories consider the observation of wave crests as the reason for the apparent wave-particle duality?