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Proponents of Complexity Science believe that the huge variety of emergent phenomena observed throughout nature, are generated by relatively few microscopic mechanisms. Skeptics however point to the lack of concrete examples in which a single mechanistic model manages to capture relevant macroscopic and microscopic properties for two or more distinct systems operating across radically different length and time scales. Here we show how a single complexity model built around cluster coalescence and fragmentation, can cross the fundamental divide between many-body quantum physics and social science. It simultaneously (i) explains a mysterious recent finding of Fratini et al. concerning quantum many-body effects in cuprate superconductors (i.e. scale of 10−9 − 10−4 meters and 10−12 − 10−6 seconds), (ii) explains the apparent universality of the casualty distributions in distinct human insurgencies and terrorism (i.e. scale of 103 − 106 meters and 104 − 108 seconds), (iii) shows consistency with various established empirical facts for financial markets, neurons and human gangs and (iv) makes microscopic sense for each application. Our findings also suggest that a potentially productive shift can be made in Complexity research toward the identification of equivalent many-body dynamics in both classical and quantum regimes.


Copyright © (2011) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Advances (Neil F. Johnson, Josef Ashkenazi, Zhenyuan Zhao, and Luis Quiroga, AIP Advances. 1, 012114 (2011)) and may be found at

Neil F. Johnson, Josef Ashkenazi, Zhenyuan Zhao, and Luis Quiroga, AIP Advances. 1, 012114 (2011)

Copyright © (2011) Author(s). This article is distributed under a Creative Commons Attribution 3.0 Unported License.