This is a preprint study (not peer-reviewed) posted on arXiv at https://arxiv.org/abs/2603.24678. Researchers developed a purely theoretical model with no real observational data or sample size, using continuous wavelet transforms to track gas clumps around stuck supermassive black hole pairs and solving fluid equations via the Airy differential equation to avoid math singularities. They show how gas shocks create bursts of light from radio waves to gamma rays, plus a distinctive high-frequency 'background gas humming' in gravitational waves that appears as quick bursts with shrinking quiet gaps, ending in a final flash around 4 mHz right before the black holes spiral together. Limitations include heavy reliance on idealized mathematical assumptions about the gas disks that may not match real cosmic conditions. The model also predicts a beat frequency that could reveal the black holes' mass ratio.