The Dynamic Equilibrium Principle and The Geometry of Water: Semiclassical Coulomb Derivations from First Principles

Two companion papers present semiclassical derivations of molecular structure from first principles. Paper 1 — The Dynamic Equilibrium Principle: a structural scaling law showing that competing forces generate a discrete hierarchy of equilibrium scales anchored to a confinement radius. Paper 2 — The Geometry of Water: derivation of the O–H bond length (1.810 a₀, 0.06% error) and H···O hydrogen bond distance (3.820 a₀, 2.57% error) using only the Bohr radius and Z=8, solved analytically via the Lambert W function. No adjustable parameters.