Black Hole Echo Timing from Information Correlation Lengths

We derive a zero-free-parameter prediction for gravitational wave echo timing from black hole mergers within the information-geometric framework. The information correlation length near a Schwarzschild black hole is xi = r_s/(2 pi), where r_s is the Schwarzschild radius. The echo delay is tau = r_s/(pi c) = 2GM/(pi c^3), giving 0.003136(M/M_sun) ms. Unlike standard exotic compact object models predicting delays of order r_s ln(r_s/l_P)/c (tens of milliseconds for stellar-mass black holes), our prediction places echoes in the sub-millisecond regime. The echo amplitude is A_echo/A_ringdown = 1/(2 d_c) = 1/14 with geometric decay factor gamma = 0.799. For intermediate-mass black hole mergers with M > 100 M_sun, the echo frequency falls within LIGO's sensitive band. Stacking ~7 echoes from a single high-SNR IMBH event yields SNR ~ 2.3; combining ~5-13 IMBH events (depending on ringdown SNR) achieves 5-sigma evidence. LIGO O5 provides a realistic first test; third-generation detectors would be definitive. Complete waveform templates, Bayesian model comparison with quantified Occam factors, multi-detector coherence requirements, and precise falsification criteria are presented.