This monograph presents the complete theoretical formulation of the Universal Resonance Field Theory (UR), a unified geometric framework connecting informational geometry, quantum measurement, critical phenomena, and gravitational structure. The work integrates Fisher-information dynamics, hazard-modified Ricci flow, an extended Einstein–Maxwell sector, and a renormalization-group derivation of the universal critical exponent α ≈ 1.27. The framework provides a single-outcome quantum measurement mechanism, a geometric generalization of the Born rule (GWBR), and a predictive informational mass tensor applicable across physical, biological, and cosmological scales. This document serves as the foundational reference for all UR-related empirical and theoretical research.