2003/08/28 by Manfred Requardt, Requardt, Manfred
Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #cond-mat.dis-nn #gr-qc #nlin.AO
paper · pdf · doi:10.48550/arxiv.gr-qc/0308089
25 pages, Latex, 3 figures
arxiv created 2003/08/28 · arxiv updated 2009/12/01
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.