B. D. Jagadeesan, MD The Event Horizon as Geometric Phase Transition: Information Preservation, Topological Hair,

The conventional picture of black hole singularities as points of destruction where information is lost was never derived from a complete theory. It follows from extrapolating the classical Einstein equations into a regime where those equations were already acknowledged to break down. The PenroseHawking singularity theorems prove geodesic incompleteness of the smooth manifold description not physical destruction, not innite density, and not information loss. In the brane-bulk octonionic framework, the event horizon is a geometric phase transition: the 3, 7 hyperbolic Fano ground state (our observable universe) traverses the at 3, 6 Ursa Major crossing and re-enters the 7, 3 hyperbolic pre-annihilation geometry inside the black hole. Information is not lost; it is reorganised into the topological structure of the 7, 3 Klein quartic tiling, encoded in the chirality of the PSL (2, 7) orientation. The classical no-hair theorem applies to eld-theoretic charges; it has no jurisdiction over this topological hair. This resolves the baryogenesis objection: the H+/H−distinction is carried in the geometry of spacetime itself, not in any eld propagating on spacetime. Hawking evaporation is brane-mode quantum tunnelling back through the at crossing, satisfying the Page curve. Every supermassive black hole is a daughter universe in waiting. Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10. 5281/zenodo. 19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M. D. , University of Minnesota. ORCID: 0000-0002-1143-941X.