# Geobiodynamics and Roegenian Economic Systems

## TL;DR

This paper develops a mathematical framework linking thermodynamics, geobiodynamics, and economics to model complex evolutionary systems, introducing Roegenian economy and analyzing economic equilibria and phenomena like economic black holes.

## Contribution

It introduces a formal model of Roegenian economy as a Carnot group and explores the isomorphism between thermodynamic and economic concepts, advancing the understanding of economic system evolution.

## Key findings

- European Union economics modeled as a Cartesian product of Roegenian systems
- Analysis of phase equilibrium between heterogeneous economic systems
- Conceptualization of economic black holes affecting global income distribution

## Abstract

This mathematical essay brings together ideas from Economics, Geobiodynamics and Thermodynamics. Its purpose is to obtain real models of complex evolutionary systems. More specifically, the essay defines Roegenian Economy and links Geobiodynamics and Roegenian Economy. In this context, we discuss the isomorphism between the concepts and techniques of Thermodynamics and Economics. Then we describe a Roegenian economic system like a Carnot group. After we analyse the phase equilibrium for two heterogeneous economic systems. The European Union Economics appears like Cartesian product of Roegenian economic systems and its Balance is analysed in details. A Section at the end describes the "economic black holes" as small parts of a a global economic system in which national income is so great that it causes others poor enrichment. These ideas can be used to improve our knowledge and understanding of the nature of development and evolution of thermodynamic-economic systems.