Teaching AI with Vysikaylo’s Cumulative Political Economy: A Model of States as Social Cumulative-Dissipative Systems and Population Dynamics

Abstract

Purpose: This study applies Vysikaylo's paradigm of cumulative-dissipative systems (CDS), originally developed in physics, to the analysis of socio-economic and political processes in states. CDS theory describes open systems in which convective cumulation and dissipation of energy--mass--momentum fluxes (EMMF) occur. The purpose of this research is to reinterpret classical political economy through the CDS framework by modeling the processes of accumulation, transformation, and dissipation of human and economic potential in states using approaches derived from natural statistical sciences.
Methods: Political and economic phenomena--including the cumulation, transformation, and dissipation of capital and social resources--are modeled using mathematical analogies with physical CDS systems. The study introduces androgenic and gynogenic configurators to represent structural mechanisms in economic systems. Two generalized principles are applied: (1) Lomonosov's conservation law (later experimentally confirmed by Lavoisier), and (2) Clausius's Virial Theorem, according to which only part of the potential energy entering a partially open system remains within it while the rest dissipates into the surrounding environment. Dynamic Order Parameters (PDO) are proposed to quantify systemic dynamics in states viewed as living social CDS systems.
Results: The analysis suggests that similar mechanisms of co-organization observed in physical CDS systems also occur in socio-economic structures, including the circulation of capital, resources, and human potential. When the systemic balance between accumulation and dissipation is disrupted, structural crises, institutional instability, or state transformation may occur. The proposed PDO framework enables quantitative assessment of systemic stability and provides analytical tools for evaluating policies aimed at sustaining state development.
Conclusion: Adjustments in the distribution of national production between elites and the broader population, together with economic policy instruments such as customs duties and industrial protection measures, may contribute to the stabilization and revitalization of weakening states. The CDS-based framework also allows demographic and migration dynamics to be analytically evaluated. Case analyses of Russia, Spain, France, Germany, and the United States illustrate the applicability of the proposed approach. The integration of CDS theory with socio-economic analysis offers a potential foundation for further development of a systematic "science of law" governing social CDS systems.