The problem here is to distinguish between theory, facts and interpretations. The facts related to the two-slit experiment is that one particle always arrives as a point. If you have enough particles in sequence, a diffraction pattern becomes discernible that is consistent with the proposition that a wave diffraction pattern gives the probability that a given particle will arrive at a given point. We also believe the experiment complies with the laws of conservation of energy and of momentum. We also know if we shine strong light on the particles as they exit the slits, the diffraction pattern disappears, and we get the pattern, more or less, of one electron having gone through one known slit.
Either there is a wave and a particle, or there is not. In the Copenhagen Interpretation, there appears to be not a wave as such, and the effect happens merely to comply with an equation, and the whole issue is left afloat. 795
The premise that there is a wave was followed separately by <PERSON> and <PERSON>, and this is the interpretation I follow, although I have made some alterations in that I add the requirement that the phase term follows <PERSON> and becomes real at the antinode (and I attach physical significance to that at times) and that the phase velocity must equal the particle velocity to affect the wave. That requires the wave to transmit energy, and I assume it guides the wave through an energy field. Where the energy is is admittedly a problem, and it effectively requires another dimension, which some will regard as ugly. I call these guidance waves, to slightly differentiate them from the pilot wave.
The important point is that weak measurements (<PERSON>, <PERSON> and 6 others. 2011. Observing the Average Trajectories of Single Photons in a Two-Slit Interferometer Science 332: 1170 – 1173.) indicate that when emerging from the slit the photon follows a trajectory in accord with that predicted by <PERSON>, which, in my opinion, is strong evidence in support of the wave plus particle concept, and does not sit at all well with the distributed quantum field, or the probability distribution until observed concept. 682