Entropy increases. Yet life, cognition, and civilization persistently create order. What is the fundamental nature of this order creation? In Energy-Efficiency Theory (EET), the answer is rooted in the same mechanism that drives entropy increase: constraint transitions. Entropy increase is the spontaneous meltdown of constraints (Eb^melt crossed). Inverse entropy—order creation—is the active formation of new constraints (Eb^form crossed) through the investment of free-state energy. This paper develops the ontology of inverse entropy from the generative foundations of EET Core Rules v5. 0. We define inverse entropy Ṡ₈₍ₕ as the rate of constraint formation, driven by directed investment of formation power Ė₅₎ₑ₌. From capacity geometry, the cooperative capacity () = Cₘ Cᵣ 1 - x² governs the efficiency of constraint formation: at =1, is maximal. The inverse entropy rate is: ̇₈₍ₕ = () Ė₅₎ₑ₌T₄₅₅, T₄₅₅ is the effective temperature. We distinguish thermal and active formation regimes, and establish the hierarchical scaling Ṡ₈₍ₕ L^ (0. 6), unifying order creation from molecular to civilizational scales. Falsifiable predictions include the correlation between brain free power and learning rate, superlinear scaling of innovation with R\ order creation; constraint formation; capacity geometry; Energy-Efficiency Theory; learning; innovation; civilization
Hongpu Yang (Thu,) studied this question.