Regular Black-Bounce Solutions with Electromagnetic Sources: A Non-Linear Electrodynamics Approach

This version (v1.1) corresponds to a consolidated and conservative presentation of Article I. No equations, calculations, curvature invariants, scaling relations, or analytical results were modifiedrelative to the original release. All mathematical derivations and physical conclusions remain unchanged. Version v1.1 focuses exclusively on editorial refinement and technical clarification, including explicitscope delimitation, conservative phrasing regarding geodesic extension, and a clearer separation betweenthe geometric construction, the reconstructed effective stress–energy tensor, and its a posterioriinterpretation in terms of non-linear electrodynamics (NLED). The article is strictly restricted to static and spherically symmetric configurations within classicalGeneral Relativity. No claims are made regarding dynamical formation, nonlinear stability, quantum effects,or observational signatures. This version is intended to serve as the stable theoretical baseline for subsequent articles in the series.