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Towards an Irreducible Theory of Complex Systems

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Victor Korotkikh, Faculty of Business and Informatics,
Mackay Campus,
Central Queensland University, Australia
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To be confident in practice of complex systems, it would be ideal to have an irreducible theory not requiring a deeper explanatory base in principal. But, where could such a theory come from, if even the concept of spacetime is questioned as a fundamental entity. Suggesting that the concept of integers may take the responsibility we show that complex systems can be described in terms of self-organization processes of prime integer relations. Based on the integers as the basic building blocks and controlled by arithmetic only the self-organization processes can characterize complex systems through principles not allowing further simplification. This offers the possibility to develop an irreducible theory of complex systems.