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Quantum morphogenesis: A variation on Thoms catastrophe theory

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 نشر من قبل Marek Czachor
 تاريخ النشر 2002
  مجال البحث فيزياء علم الأحياء
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Non-commutative propositions are characteristic of both quantum and non-quantum (sociological, biological, 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 phenomena of morphogenesis which may occur in non-commutative systems. Several explicit exactly solvable models are presented, including `birth and death of an organism and `development of complementary properties.


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