Einstein–Quantum Resonance Unified Model (QRUM): A Phenomenological Formulation and Exploratory Gravitational-Wave Residual Study

This preprint presents the Quantum Resonance Unified Model (QRUM), a phenomenological framework introducing a frequency-dependent effective matter-curvature coupling. The manuscript develops the mathematical formulation of the model and applies it to exploratory analyses of publicly available gravitational-wave strain data. Residual spectra are examined using Lorentzian profile fitting and information-criterion model comparison. A fully documented open-source Python reference implementation is provided to support independent reproduction, verification and further investigation. The work is presented as an exploratory phenomenological study intended to encourage critical analysis and independent validation.