A random-walk approach to interference

In this paper we sketch a probabilistic particle approach requiring no separate concept of wave to obtain interference. We describe in some detail how things work from a physical standpoint and show with a number of figures how the standard wave concepts are developed from purely particle random walks. For the wave concepts we have in each case a matching probability concept. The preliminary theory developed here is qualitative and stresses the physical character of the assumptions. In particular, we show that the periodic behavior of light is derived from the source and not from individual photons.