Spectral Resolution of the Black Hole Information Paradox: Informational Conservation as a Necessary Consequence of Finite Bekenstein-Hawking Entropy

Resolves the black hole information paradox via UFT-F spectral map Φ, mapping horizons to Schrödinger operators H_BH with L1-integrable potentials V_info. Finite Bekenstein-Hawking entropy equates to LIC (∥V∥_L1 < ∞), ensuring self-adjointness and unitarity. GLM inverse scattering recovers initial states from radiation, with Base-24 harmonics as testable non-thermal signatures. Numerical sims confirm bounded entropy ≈1.25. Builds on UFT-F's Yang-Mills and quantum gravity closures.