On Principles of Emergent Organization

• URL: http://arxiv.org/abs/2311.13749v1
• Date: Thu, 23 Nov 2023 00:39:36 GMT
• Title: On Principles of Emergent Organization
• Abstract summary: After more than a century of concerted effort, physics still lacks basic principles of spontaneous self-organization. challenges arising from mathematical intractability and the resulting need for computational approaches. An overview of two modern mathematical formulations of organization lays out a way to overcome these challenges.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: After more than a century of concerted effort, physics still lacks basic principles of spontaneous self-organization. To appreciate why, we first state the problem, outline historical approaches, and survey the present state of the physics of self-organization. This frames the particular challenges arising from mathematical intractability and the resulting need for computational approaches, as well as those arising from a chronic failure to define structure. Then, an overview of two modern mathematical formulations of organization -- intrinsic computation and evolution operators -- lays out a way to overcome these challenges. Together, the vantage point they afford shows how to account for the emergence of structured states via a statistical mechanics of systems arbitrarily far from equilibrium. The result is a constructive path forward to principles of organization that builds on mathematical identification of structure.

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