The spin vector L\vec{L} orientation relative to simulation box axes and fractal gradients,
The cosine of angle between spin vector and local radial vector from layer center radial=cos1(Lr^)\theta_{\text{radial}} = \cos^{-1}(\vec{L} \cdot \hat{r}),
Parity asymmetry:
Pasym=NclockwiseNcounterNtotalP_{\text{asym}} = \frac{N_{\text{clockwise}} - N_{\text{counter}}}{N_{\text{total}}}
We perform ensemble runs over varying DHD_H, radial position rr, and topological coupling strength to gauge sensitivity.
3. Key Results and Patterns
Simulation results reveal the following:
Non-zero average spin alignment with large-scale fractal filaments: galaxies exhibit a preferential spin orientation along certain fractal axes.
Enhanced spin asymmetry at layer boundaries and void surfaces, consistent with observational reports of planar spin correlations.
Parity violation (e.g., excess of clockwise vs. counterclockwise spirals) emerges when DH<2.6D_H < 2.6, particularly in models with strong topological field interference (Section III.4).
The distribution of spin alignment angles radial\theta_{\text{radial}} exhibits a bimodal peak, deviating from the isotropic sin\sin\theta distribution.
4. Comparison with Observations
Our simulation results are in qualitative agreement with:
Long-range spin correlation excess reported in SDSS DR16 (Shamir, 2020),
Hemispherical spin bias in Galaxy Zoo (e.g., mirror asymmetry across the equator),
Large-scale planar alignments (e.g., cosmic web vorticity) seen in TNG50 and Illustris simulations, though our model yields stronger correlation amplitudes due to fractality.
5. Implications and Predictive Power
These results support the thesis that:
Fractal structure is not observational noise, but a generative constraint in cosmic structure formation.
Spin orientation can be used as a cosmological observable, providing an indirect probe of primordial topological asymmetry and fractal density evolution.
Our model predicts that:
Spin alignment strength increases with redshift (earlier universes are more fractal),
Regions near topological junctions or void boundaries show the highest alignment deviation.888
By modeling galaxy spin orientations within a fractal-influenced, multilayered cosmological framework, we reveal how initial asymmetries embedded in the Blink Genesis and propagated via layered topology can produce the subtle angular momentum biases now observed. These findings challenge the isotropy assumption at cosmological scales and offer a new testbed for future high-redshift spin alignment surveys.
IV.3. Topological Field Interference
This section explores the macroscopic observational consequences of quantum topological interference arising from cross-layer interactions in the proposed Multilayer Multiverse Architecture. Building on the formalism introduced in Section III.4, we numerically simulate how interfering phase fields across cosmological layers can imprint correlated large-scale signatures on observable quantities such as:
