This paper formulates the black-hole sector within the alpha-beta-phi program, providing a coherent effective route from filtered-vacuum structure to testable strong-field deviations. The approach is deliberately conservative, first reconstructing the standard black-hole chain as an exact Einstein branch before activating the framework's specific corrections near the horizon. Key Research Highlights: Standard Chain Reconstruction: Derivation of the Schwarzschild exterior, Hawking temperature, and Bekenstein-Hawking entropy directly from the framework's visible action. Strong-Gravity Diagnostics: Formulation of parametric deformations for black hole shadows, ringdown, and horizon-temperature profiles that vanish continuously in the Einstein limit. Structural Innovation: Use of the structural variable (beta) to reweight the visible mass scaffold near the horizon via the Higgs interface, without altering the weak-field limit. Thermodynamic Sector: Identification of horizon entropy as a derived effective quantity controlled by the non-minimal coupling of the geometric channel (phi).
Douglas Hernandez (Tue,) studied this question.