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Emergence as Harmony

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Drawing on game theory, statistical mechanics, and dynamical systems, Venkat Venkatasubramanian develops a unified theory of emergence, which yields fresh answers to fundamental questions ranging f...
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Emergence has long resisted unified explanation. In Emergence as Harmony, Ven... Read More
  • Format:
  • Publication Date: 15 September 2026
  • ISBN: 9780231224581
  • Pages: 320
  • Imprint: Columbia University Press

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Emergent phenomena arise when complex systems exhibit properties that are absent in their constituent parts. They span scales and disciplines, from the collective intelligence of bird flocks in biology to the patterns of inequality and segregation in economics and sociology. Do these disparate examples share unifying principles? How do order and collective behavior emerge from chaos through self-organization?

Venkat Venkatasubramanian shows that a novel paradigm—statistical teleodynamics—can explain emergence. This unified theory represents a transdisciplinary synthesis integrating concepts from various fields. Venkatasubramanian formulates a mathematical framework for understanding emergent phenomena across domains, spanning physics, biology, ecology, economics, sociology, and artificial intelligence. He demonstrates that the organizational principle of emergent systems is maximizing harmony, which he examines various ways to measure. Emergence as Harmony offers new answers to fundamental questions on topics ranging from income inequality to large language models and neural networks.

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Price: $50.00
Pages: 320
Publisher: Columbia University Press
Imprint: Columbia University Press
Publication Date: 15 September 2026
Trim Size: 9.00 X 6.00 in
ISBN: 9780231224581
Format: Paperback
Emergence has long resisted unified explanation. In Emergence as Harmony, Venkatasubramanian delivers exactly that—a transdisciplinary mathematical framework spanning biology, economics, sociology, and AI. A rare synthesis: technically deep, conceptually original, and ultimately pointing toward something as elusive as harmony itself.
— Julio Mario Ottino, author of The Nexus: Augmented Thinking for a Complex World
Venkat Venkatasubramanian is the Samuel Ruben–Peter G. Viele Professor of Engineering at Columbia University. He is the author of How Much Inequality Is Fair? Mathematical Principles of a Moral, Optimal, and Stable Capitalist Society (Columbia, 2017). He is an elected member of the US National Academy of Engineering.

Preface
1. Organized Is Different
2. Teleological Systems and Game Theory
3. Statistical Teleodynamics
4. Entropic Economics: Income Inequality
5. Entropic Economics: Income Inequality in the Real World
6. Emergence in Biology: Bacteria, Ants, and Mussels
7. Emergence in Ecology: Bird Swarms
8. Emergence in Sociology: Social Segregation
9. Emergence in Artificial Intelligence: Universal Microstructure of Large Language Models
10. On the Organization of Species
References
Index