Zenodo
Universal Safety Kernel v6: Spatio-Temporal Football Analytics using Voronoi Control and Monge Defensive Geometry
By MOHAMMED TAHAR SAIM.
Abstract
This report presents Version 6 of the Universal Safety Kernel, applying the proprietary Spatio-Temporal framework to professional football analytics. By combining ODE-based fatigue modeling, Voronoi tessellation for spatial dominance, and Monge's Theorem for structural geometry, this engine quantifies tactical vulnerability. The simulation mathematically proves how physical exhaustion leads to the expansion of Voronoi cells and the shifting of the Monge axis outside the pitch boundaries, providing a novel early-warning system for defensive collapse.
Keywords
- Sports Performance and Training
- football analytics
- Voronoi tessellation



