The Universe as Automaton From Simplicity and Symmetry to Complexity
This booklet is an essay at the interface of philosophy and complexity research, trying to inspire the reader with new ideas and new conceptual developments of cellular automata. Going beyond the numerical experiments of Steven Wolfram, it is argued
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Editorial Board for Springer Complexity H. Abarbanel, San Diego, USA D. Braha, Dartmouth, USA P. Érdi, Kalamazoo, USA and Budapest, Hungary K. Friston, London, UK H. Haken, Stuttgart, Germany V. Jirsa, Marseille, France J. Kacprzyk, Warsaw, Poland K. Kaneko, Tokyo, Japan S. Kelso, Boca Raton, USA M. Kirkilionis, Coventry, UK J. Kurths, Potsdam, Germany L. Reichl, Austin, USA P. Schuster, Vienna, Austria F. Schweitzer, Zurich, Switzerland D. Sornette, Zurich, Switzerland
For further volumes: http://www.springer.com/series/8907
Springer Complexity Springer Complexity is an interdisciplinary program publishing the best research and academic-level teaching on both fundamental and applied aspects of complex systems—cutting across all traditional disciplines of the natural and life sciences, engineering, economics, medicine, neuroscience, social and computer science. Complex Systems are systems that comprise many interacting parts with the ability to generate a new quality of macroscopic collective behavior the manifestations of which are the spontaneous formation of distinctive temporal, spatial or functional structures. Models of such systems can be successfully mapped onto quite diverse ‘‘real-life’’ situations like the climate, the coherent emission of light from lasers, chemical reaction-diffusion systems, biological cellular networks, the dynamics of stock markets and of the internet, earthquake statistics and prediction, freeway traffic, the human brain, or the formation of opinions in social systems, to name just some of the popular applications. Although their scope and methodologies overlap somewhat, one can distinguish the following main concepts and tools: self-organization, nonlinear dynamics, synergetics, turbulence, dynamical systems, catastrophes, instabilities, stochastic processes, chaos, graphs and networks, cellular automata, adaptive systems, genetic algorithms and computational intelligence. The three major book publication platforms of the Springer Complexity program are the monograph series ‘‘Understanding Complex Systems’’ focusing on the various applications of complexity, the ‘‘Springer Series in Synergetics’’, which is devoted to the quantitative theoretical and methodological foundations, and the ‘‘SpringerBreifs in Complexity’’ which are concise and topical working reports, case-studies, surveys, essays and lecture notes of relevance to the field. In addition to the books in these two core series, the program also incorporates individual titles ranging from textbooks to major reference works.
Klaus Mainzer Leon Chua •
The Universe as Automaton From Simplicity and Symmetry to Complexity
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Prof. Dr. Klaus Mainzer Technische Universität München Lehrstuhl für Philosophie und Wissenschaftstheorie Arcisstrasse 21 80333 München Germany e-mail: [email protected]
Prof. Dr. Leon Chua EECS Department University of California Cory Hall #1770 253 Berkeley CA 94720-1770 USA e-mail: [email protected]
ISSN 2191-5326 ISBN 978-3-642-23476-7 DOI 10.1007/978-3-642-23477-4
e-ISSN 2191-5334
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