Emergent phenomena occur when complex systems exhibit properties and behaviors that their individual parts do not have. They are found across scales and fields, from the collective intelligence of bird flocks in biology to inequality and segregation patterns in economics and sociology. Are there unifying principles underlying these seemingly different examples? 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.