A Cellular-Space Model for Studying Wave-Particle Dualism

Abstract

In the beginning, it is demonstrated by some examples that cellular-space models find an increasing attention in physics. The concept of cellular space (cellular network, cellular automaton etc.) is briefly explained. For the present model a plane square grid is presupposed, where two different zero states alternate as in a checkerboard. A set of rules is specified which allow the approximate modelling of ordinary waves propagating in space. If two such “waves” meet, two different processes may occur: the first may be regarded as the crossing of two waves which finally continue their usual propagation maintaining their original direction, whereas the second may be interpreted in analogy with the collision of two particles in classical mechanics. Finally, some limitations of the present draught and suggestions for further study are discussed.