A Mathematical Structure for Emergent Computation

1. Front Matter

   Pages i-xv

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2. Integer Code Series (ICS)

   • Victor Korotkich

   Pages 1-29

3. Systems of Integer Relations and Structural Complexity

   • Victor Korotkich

   Pages 31-85

4. A New Type of Hierarchical Formations and the Structure

   • Victor Korotkich

   Pages 87-126

5. The Structure and Emergent Computation

   • Victor Korotkich

   Pages 127-139

6. Searching for Universal Principles of Emergent Computation

   • Victor Korotkich

   Pages 141-160

7. Back Matter

   Pages 161-164

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An understanding of emergent computation requires a profound revision of the most fundamental ideas. A noticeable attempt of such a rethinking is a world view in which natural systems are seen not as separate entities but as integrated parts of a unified whole. The book for the first time presents such a mathematical structure, which remarkably is based on integers as the single concept. As integers are considered to be the most fundamental entities irreducible to something simpler, this makes the mathematical structure a final theory, and thus we do not have to look for its explanation in terms of deeper concepts. The book is not only applicable to models of computation and optimization but also has scientific consequences, as it contributes to a rethinking of the most fundamental ideas about nature.
Audience: The book is written at a level suitable for advanced undergraduate students and graduate students as well as research workers and practitioners in computer science information technology, mathematics and physics. The book is suitable as a reference or as supplementary reading material for an advanced graduate course. Only a basic knowledge of calculus is required.

• Mathematica
• calculus
• complexity
• computer
• computer science
• optimization

• Faculty of Informatics and Communication, Central Queensland University, Mackay, Australia

  Victor Korotkich

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