Heliobiology v2.0: A Mathematical Model of Geomagnetic-Cardiac Coupling and Music-Based Risk Mitigation

Objective: Epidemiological studies have reported increased cardiovascular risk during geomagnetic storms, yet the underlying biophysical mechanism remains unexplained. This study develops and validates a mathematical model linking ultralow-frequency (ULF) geomagnetic forcing to cardiac rhythm instability, and quantifies the protective potential of personalized music therapy. Methods: Building on a validated synchronization pipeline, we model the human heart as a phase-coherent oscillator subject to ULF (0.001-0.1 Hz) geomagnetic perturbations. Phase diffusion coefficient Dφ quantifies cardiac instability in storm-only scenarios; Phase Locking Value (PLV) assesses synchronization when music provides an external reference. Music protection factor is derived analytically from the Adler equation fixed point. Monte Carlo simulation (N=100 seeds) with comprehensive statistical validation establishes model robustness. Results: Dφ increases monotonically with storm intensity: Quiet (0.0004±0.0000), Minor (0.1161±0.0106), Moderate (0.4123±0.0367), Severe (0.9826±0.0870) rad²/s². All pairwise differences significant (p0.05). Music protection factor P=0.398 for subjects inside Arnold tongue; P=0 outside. Clinical calibration: RR_MI = 1.070 + 0.476·Dφ (R²=0.904). Sensitivity: Δ