Disentangling Scaling Arguments to Empower Complex Systems Analysis

TL;DR

This paper emphasizes the importance of understanding the mathematical foundations of scaling arguments to enhance their application in analyzing complex systems across physics.

Contribution

It clarifies the different mathematical concepts behind scaling arguments, enabling more precise and effective use in complex systems analysis.

Findings

Clarifies the mathematical basis of scaling arguments

Enhances the interpretability of scaling in complex systems

Provides a framework for better application of scaling methods

Abstract

Scaling arguments provide valuable analysis tools across physics and complex systems yet are often employed as one generic method, without explicit reference to the various mathematical concepts underlying them. A careful understanding of these concepts empowers us to unlock their full potential.