Observable Classification Theory for SOFs

Part XI of the RIME program. This paper develops an observable classification layer for Sectorized Observable Frameworks (SOFs). It introduces wall records, wall signatures, wall spectra, and computable observable invariants for organizing changes along declared deformation paths. The resulting Observable Wall Taxonomy distinguishes six provisional families: collision, repair, terminal-side, plateau/rate, nonsmooth/discrete, and bridge/incidence walls. The framework is supported by cross-species computational audits involving Rubik spectral deformations, accessibility repair, quantum gate sets, absorbing Markov systems, graph perturbations, stochastic barrier sectors, activation boundaries, and transformer activation sectors. A separate coverage census evaluates the current evidential support for each taxonomy class. Smooth ADE singularities are treated only as candidate local models for sufficiently smooth discriminant branches. The paper does not propose a universal wall-crossing theorem or general transformation laws across walls. Its central contribution is a record-level observable classification framework connecting the SOF Registry to later diagnostic workflows. Source repository: https://github.com/dooven-prime/rime-lite This work is part of the Representation-Induced Mechanics and Evolution (RIME) research program.