Black holes in effective gravity with quantum response

We study sectors of an effective gravity aimed at the black hole problem and at the relationship between exterior response, internal states, and evolution. The starting point is the effective action [1], with its additional coefficients, sources, and clock. In the spherical exterior we obtain corrections and an exact two-derivative branch whose minimum areal radius does not, by itself, establish a horizon. The interior structure retains scale selection, hybridization, population preparation, stiffness, poles, and residues. A two-mode realization exhibits a fold and a subsequent response; its coupling to an outgoing channel determines the propagator, self-energy, memory, and emission. Release from a finite reservoir admits causal continuation and an energy calculation by quadratures with controlled error in the fixed-background model.Introducing a free interface yields a second, stronger result within a specified domain: for compatible small data and common coefficients, we construct the same nonlinear radial solution up to any finite time fixed before choosing the amplitude. We prove initial contraction, a first stop, and subsequent positive velocity. A second approximant and a cubic remainder certify outward motion over a post-pulse interval in a nonempty material sector. The conserved Hamiltonian charge, material work, clock, and geometric flux arise from the same system.The populated extension brings together memory, sources, stresses, propagation, and readouts; it contains composite blocks with positive output and a symmetrization of the coupled bulk. Its finite-band verification reveals bulk and flux corrections and a width condition that is not automatically preserved. Matching preparation, emitter, and a finite-energy continuum remains open. We also retain a candidate spectral route to mass and testable relations for the exterior, transition, and clock–energy connection. The formulas retain the assumptions of each sector; a global black hole solution still requires complete matching and causal analysis.