Model G: Geometric Formalization of Information Spaces with Intrinsic Coherence

We present Model G, a mathematical formalization of information spaces where coherence is an intrinsic property guaranteed by algebraic construction. We define the global space G through a triaxial structure (Attribute, Key, Connection) and a coherence operator Φ that filters the managed universe Ω. Four fundamental axioms establish existence by coherence, location uniqueness, acyclicity of the dependency graph, and determinism through the propagation vector Π and the determinant δ. We extend relational normal forms with five semantic-temporal normal forms (SRGD-FN1 to FN5). The SRGD implementation materializes the model through a three-layer stateless architecture. Experimental validation confirms impossibility of incoherent states and O(|Π|) complexity in operations.This work was initiated in December 2025 and the initial version was published on January 6, 2026, temporally coinciding with independent advances such as DeepSeek’s Engram (January 12, 2026).