The Hull Equation. Stabilized Difference Dynamics and Capacity Discipline in Hull Mechanics

This article introduces the structure formula of hull mechanics as a mathematical projection of stabilized process binding. It reconstructs the physical world not as a collection of objects in a pre-given spacetime, but as stabilized difference dynamics under capacity discipline. The central formula ∂_t^2Φ−v_max⁡^2 ΔΦ+U′(Φ)=R(C_Δ,τ) couples the dynamics of a stability landscape Φ with the structural constraints of finite difference capacity C_Δ and actualization structure τ. The resulting signature of hull mechanics is (Φ,CΔ,τ). The article outlines free, stationary, and capacity-dominated limiting regimes and prepares the analysis of linearized hull-mechanical mode equations.