Mechanical Resolution of the Hubble Tension: Non-Newtonian Manifold

This paper presents a kinematic challenge to the standard \LambdaCDM assumption of a perfectly elastic vacuum. By performing an astrometric audit of 955 extragalactic sources in the Boötes North sector (RA \approx 205.25) using Gaia DR3 data, I identify a non-Newtonian Plug Flow velocity profile.A core Anisotropy Ratio of 2.47, indicating a coherent "Metric River" rather than random gravitational motion. Observation of a suppressed core jitter (\sigma = 6.55 mas/yr) relative to a shearing periphery (\sigma = 8.45 mas/yr), a classic signature of Bingham Plastic flow. I propose that the Hubble Tension is a result of local metric slip (V_{slip}) within high-stress vacuum conduits, triggered by a vacuum yield threshold of 39 MeV. Unlike dark energy models which rely on unseen scalars, this model provides an auditable, mechanical explanation for the 2,792 km/s velocity overshoot and the late-universe expansion discrepancy.