Scretching Planck Formulation of Quantum Wave Equations

This paper examines how the Scretching–Planck (SP) density–phase formulation recovers Schrödinger dynamics and, through a separately specified covariant scalar action, Klein–Gordon dynamics. It clarifies phase, nodal, boundary, and operator requirements and identifies the additional structures needed for matrix mechanics, Dirac, Proca, London, and Yang–Mills theories. Reproducible numerical checks test hydrogen energies and transitions, density inversion, oscillator truncation, Clifford algebra, magnetic screening, and non-Abelian examples. Twenty-four corrected solved problems and numerical methods support the analysis. The results verify mathematical equivalences and model calculations without establishing new physical predictions or independent experimental validation.