'Bosons' and 'fermions' in social and economic systems

TL;DR

This paper introduces a thermodynamic framework for social and economic systems with hierarchical structures, identifying elements that obey fermionic or bosonic statistics, and deriving thermodynamic laws and concepts for such systems.

Contribution

It develops a novel thermodynamic approach based on Gentile statistics to model hierarchical social and economic systems, linking physical concepts to economic phenomena.

Findings

Hierarchical social systems can be modeled using fermionic and bosonic statistics.

Thermodynamic laws are derived for economic systems, including temperature and pressure.

Economic systems exhibit thermodynamic properties similar to physical systems.

Abstract

We analyze social and economic systems with a hierarchical structure and show that for such systems, it is possible to construct thermostatistics, based on the intermediate Gentile statistics. We show that in social and economic hierarchical systems there are elements that obey the Fermi-Dirac statistics and can be called fermions, as well as elements that are approximately subject to Bose-Einstein statistics and can be called bosons. We derive the first and second laws of thermodynamics for the considered economic system and show that such concepts as temperature, pressure and financial potential (which is an analogue of the chemical potential in thermodynamics) that characterize the state of the economic system as a whole, can be introduced for economic systems.