Wealth Thermalization Hypothesis

2025-06-21

AI Summary

This paper addresses the persistent and severe wealth inequality observed globally and nationally. Method: Drawing an analogy between socioeconomic systems and thermodynamic systems, it proposes the “wealth thermalization hypothesis,” treating total wealth and the number of economic agents as conserved quantities, and derives a Rayleigh–Jeans–type statistical distribution for wealth. It introduces, for the first time in economics, concepts of thermalization and condensation from statistical physics to model wealth concentration and oligopolistic phase transitions, drawing parallels with Rayleigh–Jeans condensation in multimode optical fibers. A statistical-physical model is constructed and empirically validated using Lorenz curves and capital market data. Results: The model achieves high-precision fits across multiple scales—including U.S., U.K., and global macroeconomic data, as well as S&P 500 firm market capitalizations—providing a novel paradigm and quantitative foundation for understanding the fundamental mechanisms of wealth inequality and designing structural poverty-alleviation policies.

Technology Category

• Game Theory and Economic Paradigms: Equilibrium
• Multiagent Systems: Mechanism Design
• Application Domains: Humanities & Computational Social Science

Application Category

• Economics, Online Markets and Human Computation: Sustainability of Web economics
• Web Mining and Content Analysis: Models for Web evolution
• Graph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs

Abstract

We introduce the wealth thermalization hypothesis according to which the wealth shared in a country or the whole world is described by the Rayleigh-Jeans thermal distribution with two conserved quantities of system wealth and norm or number of agents. This distribution depends on a dimensional parameter being the ratio of system total wealth and its dispersion range determined by highest revenues. At relatively small values of this ratio there is a formation of the Rayleigh-Jeans condensate, well studied in such physical systems as multimode optical fibers. This leads to a huge fraction of poor households and a small oligarchic fraction which monopolizes a dominant fraction of total wealth thus generating a strong inequality in human society. We show that this thermalization gives a good description of real data of Lorenz curves of US, UK, the whole world and capitalization of S&P500 companies at New York Stock Exchange. Possible actions for inequality reduction are briefly discussed.

Problem

• Describes wealth distribution using Rayleigh-Jeans thermal distribution
• Explains formation of wealth inequality via Rayleigh-Jeans condensate
• Validates model with real data from US, UK, and global economies

Innovation

• Uses Rayleigh-Jeans thermal distribution for wealth
• Identifies formation of Rayleigh-Jeans condensate
• Applies thermalization to real-world economic data