Self-Consistent Quantization, the Three-Dimensional Kepler Law, and Standing-Wave Quark Positions from the Clausius-Mossotti Metric

We study the Klein-Gordon wave equation in the Clausius-Mossotti (CM) metric in two settings. Part I (Exterior): The KG equation coupled to the CM field equation converges self-consistently at all seven coupling strengths tested, with back-reaction modifying binding energies by 7–20%. The proper volume (W-1/3) produces 2.2–2.8× more equal probability shells than coordinate volume — a 3D Kepler law. Part II (Interior): Solving KG inside a finite sphere with hard wall at the proton surface, standing-wave nodes appear at volume fractions f = 1/3 (0.2% deviation) and f = 2/3 (0.4% deviation), matching d-quark and u-quark positions from the Damru geometry (Singh 2026d), outperforming JLAB pressure measurement (3.9%). Zero free parameters throughout. Paper 2026s in the Speed Gap Framework series (papers 2026a–r published).