C-ICG: Regular Black-Hole Cores from a Bounded-Density Einstein-Scalar Model

This preprint presents a theoretical framework for regular black-hole cores based on a bounded-density Einstein-scalar model (C-ICG). The study explores the derivation of a cubic core scaling (m(r) ~ r³) and its matching onto an asymptotically Schwarzschild exterior, ensuring finite polynomial curvature invariants. Note: The full manuscript, containing complete mathematical derivations, the smooth canonical scalar realization, and comparative diagnostics with standard models (Bardeen, Hayward, Dymnikova), is temporarily set to Restricted Access to protect academic priority pending formal peer review (e.g., Physical Review Letters). The primary document includes the author's ORCID and establishing timestamp. Access may be granted to reviewers upon request.