The Omegaon Model v4.0 Geometric Universality of the Omegaon Core Kantowski Sachs Interiors and Anisotropic Nonsingular Collapse

This paper establishes the geometric universality of the Omegaon Model by extending non-singular collapse analysis to multiple homogeneous interior geometries, including Friedmann–Lemaître–Robertson–Walker, Kantowski–Sachs, and Bianchi IX spacetimes. We demonstrate that the Ω-core forms robustly across all geometries examined, suppressing Mixmaster chaos, bounding anisotropy growth, and producing a smooth non-singular bounce. A critical shear threshold is identified, above which curvature regulation is dynamically activated and bounce solutions dominate the parameter space. These results show that anisotropy and rotation strengthen, rather than destabilise, the Omegaon mechanism, establishing it as a collapse-complete effective regulator of gravitational singularities within classical general relativity.