Causal Passive Boundary Impedances for AdS Black-Hole Terminals: Gauge-Admissible Laws, Worldtube Exchange, and Quasinormal-Mode Stability

This record contains the manuscript, LaTeX source, bibliography, compiled bibliography, figure-generation scripts, generated figures, and CSV data for “Causal Passive Boundary Impedances for AdS Black-Hole Terminals: Gauge-Admissible Laws, Worldtube Exchange, and Quasinormal-Mode Stability.” The paper develops a terminal calculus for black-hole and anti-de Sitter perturbations in which boundaries are treated as causal, frequency-dependent passive impedances rather than constant Robin parameters. The manuscript proves an energy/passivity theorem for dynamic scalar terminals, extends the construction to Maxwell and background-field Yang–Mills perturbations using boundary power/symplectic pairings, states a sufficient BRST-compatible passive boundary class, and derives finite-worldtube exchange through Redheffer/Schur-complement composition. The archive includes two illustrative Schwarzschild–AdS4 finite-worldtube computations. One demonstrates passive pole motion for a scalar spring–dashpot–memory terminal. The other verifies finite-worldtube Schur composition by comparing direct propagation to an outer worldtube with propagation to an inner worldtube plus an induced effective passive terminal. The worldtube computation uses denominator-cleared port variables to avoid confusing intermediate Dirichlet-to-Neumann poles with physical closed-loop roots. The numerical examples are illustrative and finite-worldtube based. The finite-worldtube Weyl quantity is a Dirichlet-to-Neumann value at finite radius, not a renormalized conformal-boundary Weyl function.