Omegaon Model v2.0 — Numerical Evolution of a Non-Singular Black-Hole Interior Through Collapse and Bounce

This work presents a numerical investigation of a non-singular collapse–bounce–expansion scenario describing the interior evolution of a black hole within the Omegaon framework. The study focuses exclusively on homogeneous dynamics and solves a coupled system of ordinary differential equations governing the scale factor, Hubble parameter, and an effective high-density energy sector. The numerical solutions exhibit a smooth transition from contraction to expansion, characterized by finite energy density and a continuous crossing of the Hubble parameter through zero. A localized and transient violation of the null energy condition is observed near the bounce, while classical behavior is recovered away from this regime. The bounce occurs without fine-tuning of initial conditions and remains robust under moderate variation of model parameters. This paper builds upon earlier conceptual and stability analyses of the Omegaon Model (v1.0–v1.2) and represents the first fully numerical realization of a non-singular black-hole interior evolution within the framework. The present work is intentionally limited to background dynamics and numerical consistency; perturbations, constraint enforcement, anisotropies, and observational considerations are deferred to subsequent versions (v2.1 and beyond). This release establishes a concrete numerical foundation for further investigation of non-singular gravitational collapse and bounce dynamics.