I am confused by an aspect of the infamous double slit experiment. It is said that one way to understand why a succession of single particles can give rise to an interference pattern is that a single particle could be going through both slits simultaneously and interfering with itself. But this would not produce the single point on the screen that each particle produces (as far as I know this is what occurs). It is only after an accumulation of single particle hits that the interference pattern appears. Each particle still only produces a single point. Therefore the description of a particle interfering with itself seems incorrect. There is no superposition for each particle individually, otherwise we would see each individual particle producing an interference pattern. Surely the interference pattern is really a kind of temporal effect - i.e. each particle is interfering with all the next and/or previous particles and vice versa? In otherwords, it is to do with a process which looks to us as if it is sequential in time, but for the particles in the experiment, simultaneous. Would this not make more sense? Or have I got the understanding of the experimental setup wrong. (I am not a physicist nor have any understanding of maths so I apologise for this rather untechnically framed question).