Six-Dimensional Energy Topological Coupling and Entropy Evolution Mechanism of Dissipative Systems: A Paradigm Revision of the Malthusian Model

The classical Malthusian model constructs a binary population-resource framework based on linear resource accumulation and exponential population growth. However, such a low-dimensional quantitative paradigm ignores the open-system characteristics of human societies, including multi-source energy input, cross-dimensional structural coupling, topological connectivity, and endogenous entropy regulation. To resolve the theoretical paradox of Malthusian collapse—namely why historical collapse often occurs without resource scarcity and why prosperity can be achieved under material scarcity—this study establishes a generalized social dissipative system model based on non-equilibrium thermodynamics and complex network topology. This paper proposes a six-dimensional fundamental energy framework covering thermal, chemical, mechanical, electromagnetic, radiative, and gravitational energy, and constructs a 6×6 topological coupling matrix to characterize structured system interaction. Furthermore, a novel topological entropy evolution equation is derived to describe the dynamic competition between spontaneous entropy production and multi-dimensional negative-entropy flux. The results demonstrate that Malthusian traps and civilizational collapse are not caused by population overloading, but by topological structural distortion, fractured positive coupling pathways, and the exhaustion of high-dimensional negative-entropy input. This research upgrades the traditional Malthusian binary framework to a self-consistent topological thermodynamic system and provides structural, mathematically quantifiable mechanisms for explaining social cycles, institutional iteration, and the long-term rise and fall of civilizations.