Bibliographic Details
| Title: |
Universal Dynamics,¶a Unified Theory of Complex Systems.¶Emergence, Life and Death. |
| Authors: |
Mack, Gerhard |
| Source: |
Communications in Mathematical Physics; May2001, Vol. 219 Issue 1, p141-178, 38p |
| Abstract: |
A universal framework is proposed, where all laws are regularities of relations between things or agents. Parts of the world at one or all times are modelled as networks called \system s with a minimum of axiomatic properties. A notion of locality is introduced by declaring some relations direct (or links). Dynamics is composed of basic constituents called mechanisms. They are conditional actions of basic local structural transformations (“enzymes”): indirect relations become direct (friend of friend becomes friend), links 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 kind of enzymatic computation. The framework also accommodates the gauge theories of fundamental physics. Emergence creates new functionality by cooperation – nonlocal phenomena arise out of local interactions. I explain how this can be understood in a reductionist way by multiscale analysis (e.g. renormalization group). [ABSTRACT FROM AUTHOR] |
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