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On an irreducible theory of complex systems

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journal contribution
posted on 06.12.2017, 00:00 by Victor Korotkikh, Galina Korotkikh
In the paper we present results to develop an irreducible theory of complex systems in terms of self-organization processes of prime integer relations. Based on the integers and controlled by arithmetic only the self-organization processes can describe complex systems by information not requiring further explanations. Important properties of the description are revealed. It points to a special type of correlations that do not depend on the distances between parts, local times and physical signals and thus proposes a perspective on quantum entanglement. Through a concept of structural complexity the description also computationally suggests the possibility of a general optimality condition of complex systems. The computational experiments indicate that the performance of a complex system may behave as a concave function of the structural complexity. A connection between the optimality condition and the majorization principle in quantum algorithms is identified. A global symmetry of complex systems belonging to the system as a whole, but not necessarily applying to its embedded parts is presented. As arithmetic fully determines the breaking of the global symmetry, there is no further need to explain why the resulting gauge forces exist the way they do and not even slightly different.

Funding

Category 1 - Australian Competitive Grants (this includes ARC, NHMRC)

History

Volume

1751

Start Page

1

End Page

8

Number of Pages

8

eISSN

1081-0625

Location

Boston, USA

Publisher

New England Complex Systems Institute

Language

en-aus

Peer Reviewed

Yes

Open Access

No

Era Eligible

Yes

Journal

InterJournal.

Usage metrics

CQUniversity

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