What Is Missing Between the Scretching–Planck Action and Yang–Mills: The Non-Abelian SP Action, the SMD–Yang–Mills Merger, and the Scretching Chromo-Electromagnetic Quantum Chain

This work unifies the Scretching–Planck (SP) framework with Maxwell–Dirac and Yang–Mills theories through the Scretching Chromo-Electromagnetic Quantum Chain (SCEQC). It demonstrates how SP generates electromagnetic and non-abelian matter couplings while identifying the missing ingredient required for full Yang–Mills dynamics: independent gauge-field curvature and self-interaction. By extending SP to a second level involving gauge-field wave-functionals, the framework explores photon masslessness, the Yang–Mills mass-gap problem, and quantum chromodynamic interactions. Analytical reductions, numerical tests, and quarkonium spectroscopy provide supporting results, establishing SCEQC as a proposed unified framework connecting electromagnetic, quantum, and strong-force dynamics.