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Quantum morphogenesis : A variation on Thom’s catastrophe theory Aerts, Diederik, 1953-; Czachor, Marek; Gabora, Liane; Kuna, Maciej; Posiewnik, Andrzej; Pykacz, Jarosław; Syty, Monika
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.”
Item Metadata
| Title |
Quantum morphogenesis : A variation on Thom’s catastrophe theory
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| Creator | |
| Publisher |
American Physical Society
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| Date Issued |
2001-05-27
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| Description |
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.”
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| Subject | |
| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2018-01-12
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0363018
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| URI | |
| Affiliation | |
| Citation |
Aerts, D., Czachor, M., Gabora, L., Kuna, M., Posiewnik, A., Pykacz, J., & Syty, M. (2003). Quantum morphogenesis: A variation on Thom’s catastrophe theory. Physical Review E, 67(5).
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| Publisher DOI |
10.1103/physreve.67.051926
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| Peer Review Status |
Reviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International