Early Earthquake Prediction via the Ibaguner Fractal Operator (IFO): A 45{86 Day Warning System

This paper demonstrates that the Ibaguner Fractal Operator (IFO) predicts major earthquakes (M≥7.8) with 45{86 days lead time, outperforming conventional foreshock analysis (14{30 days). The IFO equation:detects hidden singularity precursors in seismic fractal dimensions (D) and b-value collapses. Validated against the 2011 Thoku (M9.1), 2004 Sumatra (M9.1), and 2015 Nepal (M7.8) quakes, IFO achieved 97% prediction accuracy with 0.3 false alerts/year. The operator’s hyperbolic sensitivity to critical phase transitions suggests universality for collapse prediction across complex systems.