The Ultra-Global \delta I-Collapse Surface: Resolution of the Black Hole Information Paradox and Singularity Dissolution in Pre-Geometric Spacetime

Abstract

We demonstrate that the classical gravitational singularity and the associated Hawking information loss paradox are resolved from first principles by the emergent pre‑geometric correlation substrate framework (SI‑substrate). As a massive body collapses, the correlation‑pressure Pc(x) spikes non‑linearly, forcing the substrate across a universal critical threshold before a classical singularity can form. This transition generates a finite‑volume, non‑singular boundary layer — the ultra‑global δI‑collapse surface — where the macroscopic metric dissolves into a coherent pre‑geometric phase domain. We prove that curvature invariants remain strictly bounded and that quantum information is not lost but compressed, stored, and topologically update‑cycled on the 2D holographic boundary. These results show that singularities are coarse‑graining artifacts of General Relativity, and that the universe’s pre‑geometric update engine preserves absolute quantum unitarity. The δI‑collapse surface provides a natural, first‑principles resolution of both the singularity problem and the black hole information paradox.