The Ontology of Inverse Entropy: The Rate of Order Creation in Energy-Efficiency Theory

We define the inverse entropy rate S_inv = -dS_c/dt as the rate at which an open system decreases its constrained-state entropy through a sustained Energy-Efficiency Cycle. From the Gibbs free energy we derive S_inv = P_free / T. The framework unifies cellular metabolism, individual learning, social innovation, and civilizational accumulation, yielding testable predictions that bridge physical entropy and the directed creation of order in life and society.