Spin--filament alignment cos(spin,filament)\langle \cos(\theta_{\text{spin}, \text{filament}}) \rangle,
Spin dipole/quadrupole moment spectra.
4. Key Findings
Fractal models naturally produce coherent spin alignments over scales >50 Mpc, a feature increasingly reported in datasets such as SDSS, 2MRS, and Deep Fields from JWST.
5. Physical Interpretation
Nontrivial topology induces anisotropic boundary conditions that break global isotropy,
Fractal initial perturbations serve as memory traces of early universe layering and tunneling paths,
Spin alignment patterns are imprints of cosmic phase entanglement, not merely late-time environmental effects.
6. Experimental Implications
Supports claims of large-scale spin alignment in radio galaxies and spirals (e.g., from SKA precursors),
Suggests that current null results in CDM-based spin statistics may overlook deeper topological correlations,
