The Higgs Mechanism and the Higgs Boson in Energy-Efficiency Theory: Free-State Background Condensation and Constrained-State Excitation

The Higgs mechanism is a cornerstone of the Standard Model, explaining how elementary particles acquire mass through spontaneous symmetry breaking. Yet its ontological interpretation remains debated: what is the physical nature of the Higgs field? What is the Higgs boson? Energy-Efficiency Theory (EET) offers a first-principles answer grounded in energy monism. We propose that the Higgs field is the continuous free-state energy background of the vacuum, and the Higgs boson is a localized constrained-state excitation of this background. The electroweak phase transition is reinterpreted as a critical escape event driven by the energy ratio $\eta = \dot{E}_{\mathrm{resp}} / \dot{E}_{\mathrm{main}}$: when $\eta \to 1$, the free-state background condenses into a non-zero vacuum expectation value $v$, and particles acquire mass via inertial resistance in this background. We derive the constraint barrier of the Higgs boson $E_b = m_H c^2$ and its decay rate scaling $\Gamma_H \propto \eta^{-1}$. Three Level VI falsifiable predictions are proposed: (1) channel-dependent deviation of Higgs decay branching ratios in high-energy collisions where $\eta \neq 1$; (2) critical exponent $\beta \approx 0.38$ (3D $O(4)$ universality class) for $v(T)$ near $T_c$ in BSM scenarios; (3) modification of the effective Higgs width in the early universe, affecting gravitational wave and baryogenesis predictions. This framework is fully compatible with Standard Model calculations at $\eta=1$ while providing a unified energy-ontological foundation for the Higgs sector.