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Phys Rev E Stat Nonlin Soft Matter Phys. 2003 May;67(5 Pt 1):051926. Epub 2003 May 27.

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

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Centrum Leo Apostel (CLEA) and Foundations of the Exact Sciences (FUND), Brussels Free University, 1050 Brussels, Belgium.

Erratum in

  • Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Jun;6(6 Pt 2):069903. Aerts, Dirk [corrected to Aerts, Diederik].


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."

[Indexed for MEDLINE]

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