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March 19, 20260 citationsOpen Access

Inner Horizon Stability, Mass Inflation Damping, and Information Preservation in the CCEGA Framework

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MSMarc López Sánchez

Key Points

  • The aim is to explore the stability and information preservation of black holes in the CCEGA framework.
  • Analyzed black hole solutions in the CCEGA framework
  • Identified the two-horizon structure of black holes
  • Derived the stability map in parameter space
  • Assessed the impact of the modulus field on mass inflation
  • Demonstrated that the CCEGA modulus field provides damping at the inner horizon
  • Reduced effective surface gravity by a factor of 4 at the inner horizon
  • Identified the extremal limit below which the inner horizon disappears
  • Confirmed full stability for astrophysical black holes with specific parameters

Abstract

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.

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Cite This Study

Marc López Sánchez (2026) studied this question.

synapsesocial.com/papers/69bb9357496e729e629815f1https://doi.org/10.5281/zenodo.19072318
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