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Quantum morphogenesis: a variation on Thom's catastrophe theory.

Diederik Aerts·Marek Czachor·Liane Gabora·Maciej Kuna·Andrzej Posiewnik·Jarosław Pykacz·Monika Syty·Dirk Aerts
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Abstract

Noncommutative propositions are characteristic of both quantum and nonquantum (sociological, biological, and psychological) situations. In a Hilbert space model, states, understood as correlations between all the possible propositions, are represented by density matrices. If systems in question interact via feedback with environment, their dynamics is nonlinear. Nonlinear evolutions of density matrices lead to the phenomenon of morphogenesis that may occur in noncommutative systems. Several explicit exactly solvable models are presented, including "birth and death of an organism" and "development of complementary properties."

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AnimalsBiophysical PhenomenaBiophysicsHumansModels, StatisticalModels, TheoreticalMorphogenesisNonlinear DynamicsPopulation DynamicsSystems TheoryJournal ArticleResearch Support, Non-U.S. Gov't

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Diederik Aerts, Marek Czachor, Liane Gabora, Maciej Kuna, Andrzej Posiewnik, Jarosław Pykacz, Monika Syty, Dirk Aerts. 2003-05-27. Quantum morphogenesis: a variation on Thom's catastrophe theory.. https://doi.org/10.1103/physreve.67.051926

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