Alignment of Filaments in GOODS-South with BNE Equatorial Plane in TBE-ToTSerginhoTheoretical Buraco Negro Externo – Theory of Totality (TBE-ToT)Recife, Pernambuco, BrazilFebruary 2026 (preprint draft – v2)Abstract We present a qualitative–quantitative geometric analysis of weak gravitational lensing maps under the framework of the External Black Hole Theory in its total formulation (TBE-TOT). Instead of interpreting lensing convergence maps as tracers of non-baryonic dark matter, TBE-TOT treats them as direct projections of space-time curvature induced by a globally rotating External Black Hole (EBH) in a near-extremal spin regime, coupled to a fluid time field. Using a publicly available two-dimensional lensing map derived from deep HST/JWST observations, we perform a morphological and multipolar analysis of the observed convergence field. A synthetic TBE-TOT geometric map is constructed using a single global parameter—the near-extremal spin of the EBH—without invoking dark matter particles or local halo fitting. The comparison reveals strong topological agreement, including filamentary connectivity, displaced and non-spherical lensing peaks, residual curvature in apparent voids, and a pronounced quadrupolar anisotropy. The quadrupole moment extracted from the observational map (ϵ≈−0.25\epsilon \approx -0.25ϵ≈−0.25) is shown to be incompatible with isotropic Newtonian potentials but naturally emerges as the leading geometric mode in the TBE-TOT projection. We further demonstrate that this quadrupolar structure is directly linked to primordial quantum geometric fluctuations stabilized by global rotational drag and the fluid time field. These results suggest that large-scale lensing maps traditionally attributed to dark matter distributions may instead be interpreted as manifestations of anisotropic space-time geometry, providing a testable and falsifiable alternative to the standard cosmological paradigm,The agreement is excellent qualitatively and consistent with the scale-dependent alignment hierarchy of TBE-ToT: strong directional preference on large scales (tens to hundreds of Mpc), diluted on smaller scales by local dynamics.