Hydrodynamic Axial Focusing in the Vacuum Condensate - A Mechanical Derivation of Polar-Axial Jet Outflow in Galactic Nuclei as a Minimum Pressure Resistance Axis

As a supplement to the theory of thermo-viscous phase boundaries in the spacetime condensate (Part II), this paper provides a macroscopic continuum approach to explaining the axial alignment of relativistic jets in active galactic nuclei. We demonstrate that the ordered rotation and hydrodynamic inflow of the vacuum into galactic sinks generate a severe pressure anisotropy. Within the equatorial plane, the planar vacuum inflow and Bernoulli stagnation pressure create a maximal dynamic barrier. Conversely, the axis perpendicular to the galactic plane represents the path of least hydrodynamic resistance, where the effective pressure resistance R(theta) approaches zero. Consequently, central compression pressure cannot discharge radially into the disk; it is elastically collimated along the polar rotation axes into two opposite, highly focused jets. This establishes polar-axial outflows as a geometric and hydrodynamic necessity of the superfluid vacuum substrate.