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Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
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612-822-4611
Symmetries of Living and Artificial Intelligence Systems: Fibrations and Synchronization in Networks

Symmetries of Living and Artificial Intelligence Systems: Fibrations and Synchronization in Networks

Hardcover

Physics

PREORDER - Expected ship date March 31, 2027

ISBN10: 1009629662
ISBN13: 9781009629669
Publisher: Cambridge University Press
Published: Mar 31 2027
Pages: 554
Language: English
Symmetry plays a crucial role across various scales in physics-from the fundamental particles that comprise matter to the intricate shapes of snowflakes. The ubiquity of these symmetries poses a pivotal question: if life arises as an emergent property from physics, what prevents symmetry from also explaining the architectures of biological, or even artificial, life? This book addresses the question by introducing a new geometry for 'living' networks, drawing inspiration from Grothendieck's fibrations in category theory. The traditional, restrictive symmetry groups of physics are replaced with symmetry fibration, a novel notion which is both local and adaptable to evolutionary pressures. This provides an effective framework for understanding biological complexity, translating the once inscrutable AI 'black box' into an interpretable 'colored box' rich with symmetry. Featuring numerous cutting-edge applications from genomics, neuroscience and AI, this text is ideal for graduate students and researchers in mathematical biology, machine learning and network science.

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Physics