SEKI wrote:However, if no other model can come up with a mechanism of pattern formation in the experiments of Taylor (1909) and Tonomura et al (1989), I cannot but consider it to be the only option.
For Tonomura et al. I found this link:
https://sites.ifi.unicamp.br/aguiar/files/2014/02/tonomura-1989.pdfDemonstration of single‐electron buildup of an interference pattern
American Journal of Physics 57, 117 (1989);
https://doi.org/10.1119/1.16104A. Tonomura, J. Endo, T. Matsuda, T. Kawasaki H. Ezawa
Taylor (1909) must be "Interference fringes with feeble light" GI Taylor - Proceedings of the Cambridge Philosophical Society, 1909.
Many people have come up with mechanisms for pattern formation in the two-slit experiment!
For instance:
https://arxiv.org/abs/1005.0906Corpuscular model of two-beam interference and double-slit experiments with single photons
Fengping Jin, Shengjun Yuan, Hans De Raedt, Kristel Michielsen, Seiji Miya s h i ta (the forum software replaced the four letters of Seiji's surname starting with the "s" with "s * * *")
The Bohmians have "solved" this problem with their theory, long ago. See the beautiful pictures in:
C. Philippidis, C. Dewdney and B.J. Hiley, Il Nuovo Cimento 52, 15 (1979)
https://doi.org/10.1007/BF02743566