Abstract

Hawking's 1975 calculation identifies late-time particle emission for quantum fields on a classical collapse background, with a thermal factor modified by absorption probabilities. It does not construct a microscopic quantum-gravitational evaporation channel through the final Planck-scale regime. This paper supplies a self-contained finite-interface comparison under the Philosophy of Enter. A declared code is embedded isometrically into accessible and complete residual outputs. Exact reference-preserving recovery from the accessible output is equivalent to constancy of the complete complement, with an explicit deterministic decoder and a residual-rank dimension bound. Destructive basis readout followed by forgetting equals partial trace, whereas its complete coherent dilation remains isometric. Nearly constant accessible channels give recovery lower bounds; nearly constant complete complements give recovery upper bounds, with the approximate statement explicitly importing the Kretschmann–Schlingemann–Werner theorem. Finite counterexamples separate thermal or spectral data, selected entropy, conserved energy, and termination from quantum return. An access-preserving endpoint theorem combines convergence, complement, and receiver allowances under four same-model obligations. Neither those gravitational obligations nor an outgoing gravitational receiver is constructed here. Companion manuscripts are documentary comparisons, and no inherited gravitational quantum coefficient is admitted.