Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2011-01-11
Nonlinear Sciences
Chaotic Dynamics
1) some clarification regarding the connection with philosophical synchronicity in the introductory and concluding sections 2)
Scientific paper
It is argued that the dynamical systems paradigm of synchronized chaos goes further toward realizing the philosophically motivated notion of "synchronicity" than commonly thought. Two effectively unpredictable systems exhibit a predictable relationship. That relationship can become highly intermittent, as with philosophical "synchronicities", in physically realistic configurations that include a time delay in the coupling channel. Further, the philosophical requirement that synchronicities be {\it meaningful} is fullfilled if meaningfulness is related to internal coherence. A relationship between internal and external synchronization is illustrated for systems that exhibit oscillons, primitive time-varying coherent structures whose existence in Hamiltonian systems appears necessary for a weak form of extenal synchronization. The philosophical notion of synchronicity between matter and mind is also realized naturally if mind is analogized to a computer model assimilating data from observations of a real system. Meaningfulness as internal synchronization within mind appears at the level of neuronal spike-trains whose synchronization is thought to be key to perceptual grouping. The utility of a representation of object groups based on synchronized chaos has indeed been illustrated by a cellular neural network generalization of the Hopfield neural network for the traveling salesman problem. At a higher level, consciousness may emerge as synchronization among alternative mental representations of the same reality. In the objective world, synchronicity is most apparent in the quantum realm, where nonlocal connections are implied by Bell's theorem. The quantum world seems to reside on a generalized synchronization "manifold", that one can either take as primitive or as evidence of long-range connections in a multiply-connected spacetime.
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