Low- anomalies in CMB: Persistent alignments and power suppression may be better fit by a fractal-driven phase coherence model than CDM's Gaussian field.
Galaxy correlation function: Deviations from the expected CDM turnover scale may point to fractal-like features at z<2z < 2.
BAO damping: Non-trivial scaling may distort BAO peak shapes, especially in void-dominated surveys (e.g., DESI, Euclid).
5. Integration into the Overall Framework
This fractal power spectrum result aligns consistently with:
The multi-layer Friedmann modification, which introduces interlayer coupling terms,
The quantum tunneling genesis, setting the initial fractal conditions,
The topological interference field, which modulates density coherence across scales.
Thus, it serves as a bridge between the model's theoretical foundation and testable predictions in structure formation.
IV. Numerical Simulations
A. Hubble Parameter Variation H(r)H(r): Layer-dependent Evolution from CLASS-Fractal Extension