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Microscopic self-organization and self-referential systems: a progress report.
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Quantum Chemistry.
2009 (English)In: International Journal of Quantum Chemistry, ISSN 0020-7608, E-ISSN 1097-461X, Vol. 109, no 14, 3500-3504 p.Article in journal (Refereed) Published
Abstract [en]

It is contended that (the classical canonical form of) Jordan blocks, play a role analogous to those of paradoxes and self-referential contradictions in philosophy and mathematical logic. As examples we will briefly discuss the occurrence of such triangular units in appropriately generalized quantum theory of microscopic as well as open dissipative systems with structures appearing on both the fundamental as well as in higher order levels of organization. The mathematical structure centers on specific transformations within coherent-dissipative ensembles that exhibit certain factorization properties allowing prime number algorithms, cf. the Godel encoding system used to derive the celebrated incompleteness theorem. This prompts the suggestion that an additional meta-code, cf. the genetic code, might be a-scripted for the mapping between the genotype and phenotype spaces.

Place, publisher, year, edition, pages
2009. Vol. 109, no 14, 3500-3504 p.
Keyword [en]
Jordan block, complex symmetry, dissipative systems, Gödel numbering, genotype, phenotype, self-referential, teleonomic
National Category
Theoretical Chemistry
Research subject
Chemistry with specialization in Quantum Chemistry
URN: urn:nbn:se:uu:diva-122589DOI: 10.1002/qua.22377ISI: 000270884200031OAI: oai:DiVA.org:uu-122589DiVA: diva2:310663
Available from: 2010-04-15 Created: 2010-04-15 Last updated: 2011-03-16Bibliographically approved

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Brändas, Erkki J.
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