Modern information systems suffer from a fundamental architectural flaw: data coherence depends on external validation layers, creating systemic entropy and computational waste. We present the G Model, a mathematical framework that redefines informationas points in a geometric space where incoherence is mathematically impossible. Through a triaxial formalization (Meaning, Location, Connection) and an intrinsic coherence operator (Φ), the system guarantees that only valid data can exist within the managed universe (Ω). We formalize this with four fundamental axioms ensuring coherence, uniqueness, acyclicity, and deterministic propagation. Our implementation, the SRGD system (Sistema Relacional Gestión de Datos), demonstrates practical viability through a stateless three-layer architecture and unified flow patterns. Preliminary results show significant advantages in critical infrastructure scenarios where error is inadmissible, providing a foundation for trustworthy AI training data and eliminating the validation overhead present in traditional RDBMS and NoSQL systems. This work represents a paradigm shift from “data storage systems” to “coherent information spaces".