This paper presents ESSC v26 as an operational extension of ESSC v25. While ESSC v25 proposed that the ESSC map should be interpreted as a triadic branch structure, ESSC v26 focuses on making that architecture reproducibly recoverable on the raw SPARC galaxy map through ratio-first canonical descriptors.The central result is that the triadic structure becomes operationally recoverable when branch assignment is formulated through a ratio-first feature logic rather than a difference-first one. In the present tested setting, the SPARC parent sample contains 175 galaxies, and the canonical recovery is defined on the 165-galaxy usable subset with complete support-point extraction. Within this subset, the recovered map yields a non-collapsed triadic structure consisting of 111 high-core members, 51 low-side members, and 3 high-pair-residual members.ESSC v26 also introduces a stability-layer interpretation of branch membership. Instead of treating every galaxy as a uniformly fixed branch label, the paper distinguishes robust members, boundary-sensitive members, and extension-candidate members. This allows the recovered map to be read as a stable structural arrangement with a thin boundary layer rather than as a perfectly sharp exact partition.The paper does not claim a first-principles derivation, universal thresholds, or a replacement for standard physical frameworks. Its claim is narrower and operational: within the present tested setting, the triadic architecture proposed in ESSC v25 admits a reproducible ratio-first canonical mapping, and that mapping is naturally organized into stability layers.
umimoto (Sun,) studied this question.