Nature of atomic electron envelope

A hydromechanical model of atomic electron shells, consistent with 21st century experimental results, including those from gold, potassium, copper, and other substances, has been considered. A classical mathematical formulation for the electric force field potential in electron shells is provided, enabling stable electron states on orbits. In the stationary case, this formulation represents a unified Hooke–Newton–Coulomb law for material fields containing Faraday lines, taking the form of a quasilinear Poisson–Boltzmann equation. The proposed classical model of atomic electron shells avoids traditional quantum mechanics paradoxes.