Particles can interfere with themselves in the double-slit experiment if they are being guided by a wave. This explains wave behavior and particulate events as

Particles can interfere with themselves in the double-slit experiment if they are being guided by a wave. This explains wave behavior and particulate events as in Bohm's theory. Sadly, there are issues with photons as particles as their wave equations do not seem to allow for an easy particle interpretation unlike, say, electrons. Of course, the flexibility of QM allows for electrons to have a particle existence and photons to not: http://arxiv.org/abs/quant-ph/0404134 http://arxiv.org/abs/quant-ph/0404134 (I am a coauthor of that paper) And some videos to answer questions about BM: http://www.bohmian-mechanics.net/videos_faq.html http://www.bohmian-mechanics.net/videos_faq.html