Quantum morphogenesis: a variation on Thom's catastrophe theory.
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."
Aerts
Diederik
D
Centrum Leo Apostel (CLEA) and Foundations of the Exact Sciences (FUND), Brussels Free University, 1050 Brussels, Belgium.
Czachor
Marek
M
Gabora
Liane
L
Kuna
Maciej
M
Posiewnik
Andrzej
A
Pykacz
Jarosław
J
Syty
Monika
M
Aerts
Dirk
D
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