The G Model: A Geometric Approach to Absolute Data Coherence in Information Systems

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 information as points in a ge- ometric space where incoherence is mathematically impossible. Through a triaxial formalization (Meaning, Location, Connection) and an intrinsic coherence operator (Φ), the system guaran- tees that only valid data can exist within the managed universe (Ω). We formalize this with four fundamental axioms ensuring coherence, uniqueness, acyclicity, and deterministic propaga- tion. The model extends Codd’s normalization through five semantic normal forms addressing temporal and semantic coherence. We provide formal proofs of key theorems, including optimal propagation complexity and impossibility of inconsistency. This work represents a paradigm shift from “data storage systems” to “coherent information spaces,” providing a foundation for trustworthy AI training data and critical infrastructure where error is inadmissible.