The paradigm of an empty, frictionless vacuum fails comprehensively at the macroscopic boundaries of the Solar System. In this third and final paper of the "Gallyamov Celestial Mechanics" series, we apply the axioms of the Superfluid Spinor Bose-Einstein Condensate (SBEC) to resolve the topological and kinematic boundary anomalies of the heliosphere. Key findings in this paper: The Ecliptic Plane Resolved: We demonstrate that the extreme flatness of the Solar System's ecliptic plane is not an artifact of random accretion collisions. It is a strict topological necessity dictated by the Gallyamov Eversion Operator. The equatorial plane is mathematically proven to be a macroscopic Zero-Stress Zone (\cos(90^\circ)=0) within the quantum fluid. Spacecraft Anomalies (Pioneer & Flyby) Decoded: We completely discard the ad-hoc "thermal radiation recoil" hypothesis used by classical physics to explain spacecraft deceleration. We prove that the anomalous deceleration of the Pioneer probes is a direct measurement of quantum vacuum friction. Using the Gallyamov Pioneer Deceleration Law, we calculate the exact hydrodynamic phase drag to be 8.64 \times 10^{-10} \text{ m/s}^2. Furthermore, the Gallyamov Kinematic Integral flawlessly calculates the exact \approx 13 \text{ mm/s} velocity jump observed during the NEAR Shoemaker Earth flyby. This paper concludes the trilogy, definitively transitioning astrophysics from the geometric abstraction of General Relativity to computable, deterministic quantum fluid dynamics.