Just a thought. In the double slit experiment, is it possible that the particles don't actually interfere with themselves, but rather they encounter interference from all the other particles which either already have been, or subsequently will be sent through the experiment. After all, for the results to show a definite pattern it is necessary to pass many particles through the apparatus, and although the setup displaces each particle in time, it doesn't displace them in space. They all occur in the same place, but at different times. But if the particles exist outside of time, then not displacing them in space means that they will all be passing through the experiment at the same time. Perhaps if the experimenter moved the apparatus inbetween each particle then the interference pattern would disappear.