We present the first explicit numerical construction of regular black hole solutions in the Curvature Constrained Emergent Gravity Ansatz (CCEGA). Starting from the five-dimensional geometric regulator of Part I and the holographic information field φ of Part II, we reconstruct the scalar profile φ(r) and potential V(φ) that render the metric with mass function M(r) = M(1 − exp(−r³/rc³)) a numerically consistent solution of the field equations (residual error < 10⁻⁶). Neutron-star observations constrain the critical density to ρc ≳ 10 ρnuclear (95% CL). A complete linear stability analysis (Regge–Wheeler/Zerilli) demonstrates stability for all multipoles, including the physically crucial monopole (ℓ = 0) and dipole (ℓ = 1) modes. The fundamental quasinormal mode (ℓ = 2) deviates by up to 9.8% from general relativity, a signature detectable by the Einstein Telescope and Cosmic Explorer. The cosmological background φ∞ ∼ 10⁻¹² simultaneously satisfies the GW170817 speed constraint and accounts for the observed dark-energy density without fine-tuning. Possible gravitational-wave echoes and modifications to black-hole shadows are briefly discussed.
Marc López Sánchez (Sun,) studied this question.