title: Quantum morphogenesis: a variation on Thom's catastrophe theory.
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."
authors.affiliation: Centrum Leo Apostel (CLEA) and Foundations of the Exact Sciences (FUND), Brussels Free University, 1050 Brussels, Belgium.
authors.forename: Diederik
authors.initials: D
authors.lastname: Aerts
authors.forename: Marek
authors.initials: M
authors.lastname: Czachor
authors.forename: Liane
authors.initials: L
authors.lastname: Gabora
authors.forename: Maciej
authors.initials: M
authors.lastname: Kuna
authors.forename: Andrzej
authors.initials: A
authors.lastname: Posiewnik
authors.forename: Jarosław
authors.initials: J
authors.lastname: Pykacz
authors.forename: Monika
authors.initials: M
authors.lastname: Syty
authors.forename: Dirk
authors.initials: D
authors.lastname: Aerts
mesh_terms: D000818:Animals; D055592:Biophysical Phenomena; D001703:Biophysics; D006801:Humans; D015233:Models, Statistical; D008962:Models, Theoretical; D009024:Morphogenesis; D017711:Nonlinear Dynamics; D011157:Population Dynamics; D013598:Systems Theory