Structural Differentiation Gravity and Regularized Black Hole Geometry

This repository provides a minimal yet fully reproducible implementation of a regularized black-hole model within the framework of Structural Differentiation Gravity (SDG). In this approach, gravity is not treated as a fundamental interaction but as an emergent phenomenon arising from gradients of a structural density field. This leads naturally to a regularized black-hole-like geometry without central singularities. The model introduces a structural density profile, derives an effective gravitational acceleration, constructs a metric function with horizon-like radii, and analyzes effective particle motion through the corresponding potential. A synthetic black-hole shadow is also generated as a qualitative observational signature. All figures presented in the associated paper can be reproduced directly by executing the provided Python script, ensuring full computational transparency and reproducibility. This work suggests that black holes should be interpreted not as singular endpoints of spacetime, but as stable configurations at the limit of structural differentiation, indicating a fundamentally bounded description of gravitational collapse.