Rupture-Zone Theory: A Geometric and Mathematical Model of Black-Hole Interior Collapse

Classical descriptions of black holes portray the interior as collapsing to a pointlikesingularity of infinite density. While mathematically consistent with the Penrose–Hawking singularity theorems, this interpretation provides little physical insight intohow spacetime fails. I develop the rupture-zone model, a geometric framework in whichthe interior is governed by runaway contraction of the radial metric. Using a modifiedKantowski–Sachs interior metric, I introduce a radial scale factor ar(t) whose collapsedrives wavelength compression, blueshift divergence, and curvature blow-up. The rupturezone emerges as a finite-volume region where the metric loses its ability to definedistances or causal relationships. This replaces the classical singularity with a geometricphase transition. I derive the contraction dynamics, causal-structure collapse,and curvature divergence conditions that define the rupture-zone boundary. I thenshow how recent NASA JWST observations—anisotropic inflow, structured heating,and extreme blueshift near supermassive black holes—provide empirical support forthe model’s predictions. The rupture-zone framework reframes black-hole interiorsas dynamic geometric catastrophes rather than pointlike endpoints, offering a physicallyintuitive alternative to the traditional singularity picture. This work presents atheoretical model rather than a fully derived solution of the Einstein field equations.The rupture-zone framework is intended as a conceptual and geometric proposal thatmotivates further mathematical development and observational testing.