Of Bombs and Boats and Mice and Men: A Random tour through some scaling laws

TL;DR

This paper explores various scaling laws across different domains using dimensional analysis, providing insights into phenomena from yacht prices to biological growth patterns.

Contribution

It offers a comprehensive overview of classical scaling laws and applies them to diverse real-world examples, highlighting their broad relevance.

Findings

Scaling laws explain size-related phenomena across species and objects.

Dimensional analysis helps predict and understand complex systems.

Examples include biological growth, market prices, and animal sizes.

Abstract

A trip through some of the standard examples of dimensional analysis and scaling, with further thoughts on yacht prices, growing up, mice, bears and marsupials.