Collapse value domain judgment of social systems via four-layer nested topological entanglement consciousness entropy

Dissipative structure theory and traditional social entropy models can only explain social system evolution based on single thermodynamic entropy variation, which fails to account for the abrupt collapse phenomenon of socially stable systems under hidden structural contradictions. To solve this theoretical defect, this study proposes and constructs a four-layer nested topological entanglement consciousness entropy dynamical system for social systems. Taking human physiological thermodynamics (305 K–310 K steady-state temperature boundary) as the micro bottom anchor, the model divides social systems into four coupled subsystems: individual physiological thermal entropy, individual consciousness negative entropy, social class distribution entropy, and global social topological total entropy. Different from conventional unidirectional entropy transfer frameworks, this theory innovatively introduces inter-layer topological entanglement entropy to characterize mutual adhesion, nonlinear tension and structural tearing among hierarchical layers. On this basis, the traditional single entropy growth instability criterion is upgraded to a dual critical collapse mechanism including thermodynamic entropy positive growth instability and topological structural over-limit tearing instability. Combined with Gini polarization coefficient correction, this study derives the critical social differentiation threshold of structural collapse under human high and low physiological entropy production states. The results show that increased individual physiological entropy production and intensified inter-layer topological stratification tearing will significantly reduce the social stability critical Gini threshold and induce sudden systemic collapse. This work establishes a cross-scale quantitative theoretical paradigm integrating micro human thermodynamics, individual cognitive order, macroscopic class differentiation and social structural evolution, and provides a new theoretical tool for quantitative analysis, risk early warning and stability evaluation of complex social systems.