The Microscopic Representation of Complex Macroscopic Phenomena (Critical Slowing Down - A Blessing in Disguise)

TL;DR

This paper discusses how complex systems can be understood through microscopic representations that reveal emergent multi-scale dynamics, with a focus on critical slowing down as a universal phenomenon.

Contribution

It introduces the concept of microscopic representation for complex phenomena and highlights the universality of critical slowing down across various systems.

Findings

Critical slowing down characterizes the emergence of global features.

Multi-scale dynamics are key to understanding complex phenomena.

The paradigm applies broadly across disciplines.

Abstract

Many complex systems are representable as macroscopic set of elements which interact by simple rules. The complex macroscopically relevant phenomena are then the result of the generic emergence of a space-time multi-scale dynamics. Critical Slowing Down labels the emerging global features and describes their complex collective evolution. This paradigm is quite universal and extends to a very wide range of systems and disciplines.