Resonant Spacetime Hypothesis 2.0

Code Example 

```bash  

git clone https://github.com/yourusername/cosmic-voids  

python void_finder.py --input density_field.npy --output voids.h5  

```  

CHAPTER 7. Discussion

Fine-Tuning: Geometric Constraints Over Ad-Hoc Inflation  

The CDM model relies on inflationary fine-tuning, requiring precise initial conditions for the inflaton potential (\(V(\phi)\), fluctuation amplitude (\(A_s \approx 2 \times 10^{-9}\)), and reheating efficiency to match observations. This ad-hoc tuning arises because slight deviations in these parameters produce universes incompatible with structure formation or life.  

The Resonant Spacetime Hypothesis (RSH) replaces these arbitrary inputs with geometric constraints  

1. Topology: Compact 3-manifolds (e.g., 3-torus, Poincar dodecahedron) enforce discrete eigenmodes via boundary conditions.  

2. Fractal Laplacian: The Hausdorff-measured operator \(\Delta_F \psi_n = \lambda_n \psi_n\) determines density fluctuations without stochasticity.