Resonant Genesis and Post LCDM Geometry: Toward Harmonic Framework of Cosmic Structure Formation

Domain: 3D box of comoving coordinates

Grid: points

Initial Conditions: Superposition of 20 lowest eigenmodes with Gaussian amplitude profile

Time Evolution: Runge-Kutta 4th-order integrator for mode amplitudes

Boundary Conditions: Dirichlet for compact mode confinement, spiral-imposed on outer shell

B.2 Code Snippets

The numerical model was implemented using Python with the following libraries:

• NumPy for matrix algebra

• SciPy for PDE solvers

• matplotlib and Mayavi for 3D rendering

• FEniCS for finite element discretization (optional high-precision variant)