Microscopic self-organization and self-referential systems : a progress report.

• 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.

Ämnesord

NATURVETENSKAP  -- Kemi -- Teoretisk kemi (hsv//swe)

NATURAL SCIENCES  -- Chemical Sciences -- Theoretical Chemistry (hsv//eng)

Nyckelord

Jordan block

complex symmetry

dissipative systems

Gödel numbering

genotype

phenotype

self-referential

teleonomic

Quantum chemistry

Kvantkemi

Kemi med inriktning mot kvantkemi

Chemistry with specialization in Quantum Chemistry

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)