The Singularity Inside a Black Hole as a Quantum Topological Defect: An Analytical Unification

The fundamental incompatibility between General Relativity and Quantum Mechanics typically converges in the analytical treatment of singularities. The present work proposes a resolution to this dichotomy through the Dynamic Mass Transduction (DMT) framework. By redefining the ontolog- ical status of mass from a scalar parameter to an emergent equilibrium sustained by information flows, it is demonstrated that the singularity inside a black hole is not an exclusive macroscopic anomaly, but shares a formal analytical symmetry with the structural core of elementary particles. The manuscript establishes an equivalence between the divergence of spacetime curvature in black hole singularities and the divergence of information flow in quantum topological defects, offering a novel unified model for the generation of gravi