Regular black hole solutions in the Curvature-Controlled Extra-Dimensional Gravity and Emergent Unification (CCEGA) framework possess a two-horizon structure: an outer (Hawking) horizon at r₂ ≈ 2 GM/c² and an inner (Cauchy) horizon at r₁ ≈ 0. 26 GM/c². The inner horizon carries a negative surface gravity κ₁ ≈ −3. 47 c³/GM, which in standard general relativity would drive the mass inflation instability with growth timescale τ ∼ 0. 29 GM/c³. We show that the CCEGA modulus field φ provides a damping mechanism: at the inner horizon φ (r₁) ≈ 0. 77, reducing the effective gravitational coupling to Gₑff (r₁) ≈ 0. 23G and suppressing the effective surface gravity to κ₁ᵉᶠᶠ ≈ −0. 82 c³/GM — a factor of 4 reduction. We derive the stability map in the (rc, M) parameter space and identify the extremal limit rc ≲ 0. 15 GM/c² below which the inner horizon disappears entirely. For astrophysical black holes with rc ∼ ℓPl, full stability is recovered. The regular core imposes Dirichlet boundary condition u (0) = 0 for all multipoles ℓ ≥ 0, ensuring perfect reflection and unitarity of the scattering matrix. These results extend the CCEGA programme to the quantum information sector without modifying the observational predictions for the Einstein Telescope.
Marc López Sánchez (Tue,) studied this question.
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