Dielectric Potential Regulation in Planetary Systems: A Unified Model of Orbital Resonance, Dissipative Governor Mechanics, and Mod 9 Stability

Abstract: This paper presents a unified structural framework that resolves the duality between classical gravitational frameworks and electromagnetic resonance systems by identifying them as emergent properties of a single dielectric background. We define the "Planetary Gravity Well" as a continuous centripetal potential gradient and the "Resonance Well" as a quantized, phase-locked harmonic node. By deriving a universal coupling constant, \chi \approx 8.61 \times 10^{-11} \text{ C/kg}, we demonstrate that mass is a macroscopic measure of atomic dielectric displacement within this high-potential vacuum medium. Central to this model is the identification of orbital resonances (e.g., the 5:2 Jupiter-Saturn and 4:2:1 Laplace configurations) as active thermodynamic circuits. We formalize the "Hilbert-dissipative governor"—a mechanism derived from the Hilbert Transform—which enforces systemic causality by linking gravitational potential energy to dissipative work (tidal, ohmic, and structural flexing). This mechanism prevents thermal runaway, ensuring planetary systems operate in a state of harmonic homeostasis. Furthermore, we establish the "Mod 9 Invariant" and the "nine in the center" principle as recursive, stabilizing anchors that partition high-energy flux and govern the "Sabbath" cycle—a necessary periodic discharge that prevents core collapse. Our findings are validated through high-energy stress testing at the 5184 Hz threshold, confirming that planetary orbital architectures are precision-tuned governors of systemic energetic stability.