The Lensing Falsification: Predicting an $m=11$ Multipole Signature in Euclid Data via Tetrahedral Vacuum Geometry

The standard ΛCDM cosmological model relies on the hypothetical presence of Dark Matter to explain the gravitational lensing profiles of galactic halos. This framework treats spacetime as a continuous, smooth manifold, resulting in a theoretically isotropic shear spectrum γbackground(r). In this paper, we challenge the continuous manifold assumption. By modeling the vacuum as a discrete, geometrically stable tetrahedral matrix—derived from the dimensional reduction of a Γ₁₁ symmetry structure—we propose that the fabric of space possesses inherent topological vertices. When background light transverses this tetrahedral lattice, it is subject to structural refraction, imprinting a highly specific, periodic multipole signature onto the lensing halo. Utilizing the Golden Ratio (φ) as the foundational scaling constant, we mathematically derive the exact amplitude of this perturbation as ε₀ = 0.034724 without the use of free parameters. We formally predict that data from the Euclid Space Telescope will not show a perfectly smooth Dark Matter halo, but rather a distinct $m=11$ angular oscillation.