dorsal/arxiv
View SchemaQuantum morphogenesis: A variation on Thom's catastrophe theory
| Authors | D. Aerts, M. Czachor, L. Gabora, M. Kuna, A. Posiewnik, J. Pykacz, M. Syty |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211105 |
| URL | https://arxiv.org/abs/quant-ph/0211105 |
| DOI | 10.1103/PhysRevE.67.051926 |
| Journal | Phys. Rev. E 67, 051926 (2003) |
Abstract
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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"abstract": "Non-commutative propositions are characteristic of both quantum and\nnon-quantum (sociological, biological, psychological) situations. In a Hilbert\nspace model states, understood as correlations between all the possible\npropositions, are represented by density matrices. If systems in question\ninteract via feedback with environment their dynamics is nonlinear. Nonlinear\nevolutions of density matrices lead to phenomena of morphogenesis which may\noccur in non-commutative systems. Several explicit exactly solvable models are\npresented, including `birth and death of an organism\u0027 and `development of\ncomplementary properties\u0027.",
"arxiv_id": "quant-ph/0211105",
"authors": [
"D. Aerts",
"M. Czachor",
"L. Gabora",
"M. Kuna",
"A. Posiewnik",
"J. Pykacz",
"M. Syty"
],
"categories": [
"quant-ph",
"q-bio.QM"
],
"doi": "10.1103/PhysRevE.67.051926",
"journal_ref": "Phys. Rev. E 67, 051926 (2003)",
"title": "Quantum morphogenesis: A variation on Thom\u0027s catastrophe theory",
"url": "https://arxiv.org/abs/quant-ph/0211105"
},
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