Extended Boundary Condition Framework

Extended Boundary Condition Framework develops a generalised cosmological model in which universe nucleation, warm dark matter production, and early‑structure evolution emerge from a single information‑theoretic boundary condition applied at the Planck limit. The framework links the inherited information content of a child universe to the entropy of a parent black hole, producing quantitative and falsifiable predictions for the warm dark matter mass scale, the free‑streaming length, and the abundance of low‑mass halos.The paper introduces a unified inversion pipeline that maps observational constraints on small‑scale structure—such as dwarf galaxy counts, Lyman‑α forest data, and early JWST detections—back to the properties of the parent black hole. This approach yields a consistent prediction of a few‑keV warm dark matter particle and a parent mass of order –.The framework is fully self‑contained, requires no exotic physics, and provides clear empirical tests. It offers a structured, falsifiable alternative to conventional cosmological boundary assumptions and outlines a path toward observational refinement through improved mapping of dark matter substructure and high‑redshift galaxy formation.