Organization and Complexity in a Nested Hierarchical Spin-Glass like Social Space
arXiv:0911.5570
Abstract
In this paper, we mathematically formulate the interaction and dynamics of a hierarchical complex social system where each agent is seen as an array of many variables. The formation of identities and modifications can be studied by using interaction physics in an energy landscape. The spin glass Hamiltonian is modified to suit our needs in light of complexity. The expression of variables subject to weights and topology is considered. Interactions within the same hierarchy level as well as the effect of one hierarchy level on another are studied. The effect of having many variables associated with a single agent brings about interesting dynamics. The persistence of the identity units subject to stiffness, continuous changes and also sudden reorganizations is discussed.
The paper was initially written and submitted to a journal in Jan 2009 when the author was at Princeton to describe a detailed mathematical model explaining the spin glass type social dynamics proposed by the author in some personal papers written 2002 onward. It is still being refereed. The author has now left Princeton. updated acknowledgment
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