structures (as e.g. dimensional notions) are hoped to emerge via some sort of a [geometric renormalisation process]{} (in fact a very particular organized form of [coarse-graining]{} steps). Some of the interesting deeper mathematical aspects can for example be looked up in [@R3].

In our dynamical network approach to quantum space-time physics the nodes are assumed to represent cells of some microscopic size (presumably Planck size), the internal details of which cannot be further resolved in principle or are ignored and averaged over for convenience and will be represented instead by a simple ansatz for a local (node) state. It can perhaps be compared with the many existing spin-models which are designed to implement certain characteristic features of complex solids. This is more or less the same philosophy as in the CA-framework. The elementary connections between the nodes (the edges in graph theory) are assumed to represent [elementary interactions]{} or [information channels]{} among the cells and also carry simple [edge-states]{}. We made a detailed numerical analysis of the behavior of such networks in [@R4].\
Remark: We would like to emphasize however, that our approach does not really rely on this particular framework. It rather serves as a means to illustrate the 