Curvature scaling and linear area response in charged black-hole interiors

We identify the mechanisms and range of validity of two scaling laws reported in charged black-hole interiors. In spherical evolutions with a neutral massless scalar, mass inflation produces a large internal mass m, followed by a plateau. Small scalar and electric corrections give K48m²/r⁶, where r is the areal radius and K the Kretschmann scalar. The local exponent is near six when the mass and relative curvature correction also vary slowly with radius. The exact bound K≥28q⁴/(5r⁸), with q the charge, excludes a finite-coefficient r⁻⁶ asymptote, while a large plateau mass delays electric corrections to r~ q²/m. For sufficiently large plateau mass, this classical regime can reach Planckian curvature before electric corrections become significant. At fixed coordinates and initial gauge, a linear response of ρ=r² to the initial scalar amplitude A gives the half-power radius law near a simple zero. Where both mechanisms apply, K/m²∝(A_*-A)⁻³, with A_* the area zero. Full evolutions confirm the electric correction, support the half-power law at several observation times, and test the joint inverse-cube law.