Topological Shear Mapping of the {S}^3 Cosmological Antipode: Isolation of 41 Ultra-Cool eTNO Candidates Across Correlated Orbital Nodes

We present the empirical detection of 41 ultra-cool, macroscopically stationary sub-stellar candidates (𝑊1−𝑊2 ≥ 0.5, 𝜇 < 15 mas/yr) clustered within strict geometric nodes across the celestial sphere. Utilizing a novel topo-kinematic algorithm, the Spatial Shear Stream (𝕊³) pipeline, we scanned the deep-sky background of the Gaia DR3 archive to isolate regions of high non-Keplerian rotational shear. This search was motivated by a purely geometric alternative to the Planet Nine hypothesis, which models the universe as a closed, expanding 4D hypersphere (𝑎(𝑡) ≡ 𝑡) generating a global quadrupole tidal tensor. Our pipeline isolated two highly correlated antipodal nodes: an ascending trajectory in Taurus-Orion and a descending trajectory in Scorpius-Ophiuchus. Cross-matching with the CatWISE2020 catalog and rigorous astrometric fidelity vetting (RUWE ≤ 1.4) successfully eliminated Milky Way foreground contamination and extragalactic artifacts (AGN/quasars). The extracted candidate population securely fits an ecliptically inclined Keplerian orbital plane (𝑖 ≈ 10.4°, Ω ≈ 207.9°). Transverse velocity constraints confirm these objects are gravitationally bound to the Solar System (𝑣_𝑇 ≪ 𝑉_esc), rendering them prime targets for future JWST NIRSpec atmospheric characterization.