Parameter Inheritance and Universe Genesis within Black Hole Singularities

The precise calibration of the fundamental physical constants—often conceptualized as the "control board" of the universe—represents a profound unresolved dilemma in theoretical physics. This paper expands upon the hypothesis that the observable universe is topologically contained within the interior of a black hole, positing a nested, fractal multiverse driven by gravitational collapse. We propose that the mathematical parameters governing physical laws are established and inherited at the moment of a quantum singularity bounce. To resolve the Black Hole Information Paradox, we demonstrate that these 26 parameters survive the singularity via non-local quantum entanglement (ER=EPR). Once inherited, they undergo a dual-engine evolutionary mutation driven by Planck-scale thermodynamics and topological shearing. Furthermore, we redefine Cosmological Fecundity. We demonstrate that while drastically different constants may still produce expanding child universes, such universes emerge as chaotic realms governed by exotic physics; they fail to produce macroscopic structures, though they may harbor non-baryonic, microscopic complexity. Ultimately, the exact parameters required to achieve macroscopic reproductive viability identically align with the scaffolding required for stable stellar lifespans, complex chemistry, and biological life. We formalize the mechanism of parameter mutation during the bounce phase and discuss potential avenues for empirical falsifiability.