Quantum morphogenesis: A variation on Thom's catastrophe theory

Details Quantum morphogenesis: A variation on Thom's catastrophe theory Quantum morphogenesis: A variation on Thom's catastrophe theory

2002-11-18

arxiv.org/abs/quant-ph/0211105v2

Phys. Rev. E 67, 051926 (2003)

Physics

Quantum Physics

published version

Scientific paper

10.1103/PhysRevE.67.051926

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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