Yang's Ben-Shi Sliding provides a dynamical framework for the conservation–expansion trade-off in adaptive non-equilibrium systems. Grounded in the three axioms of Energy-Efficiency Theory (EET) and fully consistent with the Energy-Efficiency Theory (EET): Axioms and Core Concepts 1, the model describes how a system allocates energy between maintaining existing constraints (Ben, conservation) and forming new constraints to address disturbances (Shi, expansion). The governing equation is: dBdt=α(E˙main−E˙resp)−β(B−B0)−γD,dtdB=α(E˙main−E˙resp)−β(B−B0)−γD, where BB is the fraction of total power allocated to conservation, E˙mainE˙main and E˙respE˙resp are the maintenance and response energy rates, B0B0 the homeostatic baseline, and DD the dissipation fraction. All parameters have strict physical bounds and independent operational definitions. We perform linear stability analysis, dimensionless reduction, and identify saddle-node bifurcation thresholds that delimit stable adaptive regimes. The framework is extended across scales—from cellular to social—via parameter scaling rules and a nested coupling mechanism. A key prediction is that cross-scale coherence is maximized when the relaxation rates of adjacent scales are integer ratios, a result derived from linear system theory. Four testable, EET‑exclusive predictions are presented, each with explicit operational definitions, quantitative thresholds, and strict falsification criteria. The paper aligns with the official EET specification 1 and serves as the core dynamical foundation for the EET buffer series. Version: 1.0Keywords: Yang's Ben-Shi Sliding, conservation, expansion, Energy-Efficiency Theory, dynamic balance, Energy-Efficiency CycleLicense: CC BY 4.0Related identifier: 1 Yang, H. (2026). Energy-Efficiency Theory (EET): Axioms and Core Concepts. Zenodo. DOI: 10.5281/zenodo.19282413
Hongpu Yang (Thu,) studied this question.