Phase Transition Dynamics and Critical Phenomena in Energy-Efficiency Theory: Critical Escape as Constraint Reorganization

The dynamics of phase transitions are interpreted within Energy-Efficiency Theory (EET). Starting from the three axioms, we treat a phase transition as a critical escape event: when the energy ratio η=E˙resp/E˙mainη=E˙resp/E˙main approaches unity, the existing constraint reorganizes. The relaxation time is derived as τ∼Eb/E˙mainτ∼Eb/E˙main from the constraint maintenance condition. Critical slowing down corresponds to the vanishing of E˙mainE˙main at the critical point. The Kibble-Zurek mechanism is recovered from the competition between the cooling rate and the divergence of ττ; this is presented as a compatibility discussion, not a new prediction. A testable prediction unique to EET is proposed: in materials…