Resonant Spacetime Hypothesis 2.0

- Postprocessing: Merge small voids (<10 Mpc/h) and exclude edge artifacts.  

Step 3: Fractal Dimension Calculation

Box-Counting Method 

```python  

def fractal_dimension(void_mask, scales=np.logspace(1, 2.5, 10)):  

    counts = []  

    for s in scales:  

        # Downsample void mask by scale s  

        scaled = void_mask[::int(s), ::int(s), ::int(s)]  

        counts.append(np.sum(scaled > 0))  

    coeffs = np.polyfit(np.log(scales), np.log(counts), 1)