  We report on parallel observations in two seemingly unrelated areas of
dynamical network research. The one is the so-called small world phenomenon
and/or the observation of scale freeness in certain types of large (empirical)
networks and their theoretical analysis. The other is a discrete cellular
network approach to quantum space-time physics on the Planck scale we developed
in the recent past. In this context we formulated a kind of geometric
renormalisation group or coarse graining process in order to construct some
fixed point which can be associated to our macroscopic space-time (physics).
Such a fixed point can however only emerge if the network on the Planck scale
has very peculiar critical geometric properties which strongly resemble the
phenomena observed in the above mentioned networks. A particularly noteworthy
phenomenon is the appearance of translocal bridges or short cuts connecting
widely separated regions of ordinary space-time and which we expect to become
relevant in various of the notorious quantum riddles.
