Universal dynamics, a unified theory of complex systems. Emergence, life and death

Authors
Citation
G. Mack, Universal dynamics, a unified theory of complex systems. Emergence, life and death, COMM MATH P, 219(1), 2001, pp. 141-178
Citations number
86
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
219
Issue
1
Year of publication
2001
Pages
141 - 178
Database
ISI
SICI code
0010-3616(200105)219:1<141:UDAUTO>2.0.ZU;2-9
Abstract
A universal framework is proposed, where all laws are regularities of relat ions between things or agents. Parts of the world at one or all times are m odelled as networks called SYSTEMS with a minimum of axiomatic properties. A notion of locality is introduced by declaring some relations direct (or l inks). Dynamics is composed of basic constituents called mechanisms. They a re conditional actions of basic local structural transformations ("enzymes" ): indirect relations become direct (friend of friend becomes friend), link s are removed, objects copied. This defines a kind of universal chemistry. I show how to model basic life processes in a self contained fashion as a k ind of enzymatic computation. The framework also accommodates the gauge the ories of fundamental physics. Emergence creates new functionality by cooper ation - nonlocal phenomena arise out of local interactions. I explain how t his can be understood in a reductionist way by multiscale analysis (e.g. re normalization group).