SGUT Essential Edition: A Minimal Structural Isomorphism (Version v1.1)

This preprint presents the Essential Edition of the SGUT framework, a minimal structural isomorphism model designed for international verification. The edition provides a compact formulation of the generative operator G:S0→{S1,S2,S3}, establishing the tri-phase cycle as the core structural mechanism. The document outlines how directional asymmetry, relational stabilization, and reversible transformation form a closed generative sequence that supports gauge hierarchy, mass generation through constrained reversal, and dimensional unfolding from 0D to 4D. All components are intentionally lightweight, focusing on structural coherence rather than mathematical expansion, enabling independent validation by external AI systems prior to release of the full standard edition. In this context, SGUT refers to the Structural Generative Unified Theory, a structural generative model. It is not related to supersymmetric grand unified theories in cosmology or high‑energy physics.