Numerical Exploration of Cascade Genesis_ A Toy Simulation of Multiverse Formation from a Zero-Energy Field

This paper provides a numerical exploration of the Cascade Genesis Theory, investigating the emergence of a multiverse from a symmetric primordial state.Key features of this simulation include: Stochastic Modeling: Implementation of a real scalar field governed by diffusion, nonlinear self-interaction ($\lambda\phi^3$), and Gaussian noise. * Decoupling Mechanism: A unique "Universe Seed" criterion where local regions exceeding a critical threshold $\phi_c$ are removed from the background field to simulate causal separation . * Stability Analysis: Demonstration that the global matter-antimatter balance is preserved despite localized symmetry breaking.The document includes the complete Python source code for transparency and reproducibility . This work serves as a conceptual proof-of-concept for nonlinear cascade dynamics in early-universe cosmology.