Binary Hydrodynamic Interference: Resolving Periastron Precession Deficits and Transit Timing Residuals in Double-Star Systems

This paper provides a rigorous numerical resolution to long-standing anomalies in binary star dynamics within the framework of Substratum Hydrodynamics (SH). Conventional models based on General Relativity (GR) treat potentials as additive geometric quantities, which leads to systematic overestimations in tight binary systems. The author introduces the "Interference Potential" derived from the vector superposition of substratum flows. Through detailed calculations, the work demonstrates that the 3.23° per century precession deficit in the DI Herculis system is precisely accounted for by substratum viscosity (η_sub ≈ 6 × 10⁻¹³ Pa·s), a constant established independently in previous analyses of deep-space probe trajectories. Furthermore, the high-frequency "timing noise" in Kepler-16b's Transit Timing Variations (TTV) is resolved as periodic hydrodynamic impulses generated by the pressure pulsations (dP/dt) of the interference term (V₁V₂ cosθ). These results confirm that planetary orbits in binary systems are governed by hydrodynamic phase-locking and environmental resistance rather than purely inertial-geometric paths. This paper concludes the empirical validation of the Substratum framework for multi-body celestial interactions, establishing SH as a superior predictive tool for celestial aerodynamics.