Resolving Black Hole Singularities via Finite Planck-Density Cores: A Regular Spacetime Framework

This preprint proposes a regular black hole model that replaces the classical zero-volume singularity with a finite-volume, Planck-density core. A mass-dependent core radius is derived from Planck-density saturation and realized through a Dymnikova-type metric with exact scale matching. The model yields finite curvature invariants, geodesic completeness, and a Hawking-evaporation endpoint at a critical Planck-scale mass. Consistency with EHT observations of Sgr A* and M87* is discussed, and the framework is compared with Bardeen, Hayward, and Dymnikova regular black hole models.