SΔϕ Operational Kernel and Low-Cost Template Set: AI-Readable Boundary, Authority, Default, Re-entry, Agentic Governance, and Specialized Audit Protocols (v1.5)

This record provides SΔϕ Operational Kernel and Low-Cost Template Set v1.5, a full-stack AI-readable execution kernel for low-cost routing, citation, module selection, authority editing, default diagnosis, re-entry governance, agentic drift control, failure re-entry, and specialized SΔϕ audit. Version 1.5 reorganizes the SΔϕ working paper series into a layered execution structure. It does not require an AI system to interpret the full SΔϕ theory at once. Instead, it provides a low-cost routing protocol that tells an AI which layer to call, when to stop, what to cite, and how to avoid module conflict. The central rule of v1.5 is: Do not activate the full kernel by default. Activate the lowest sufficient layer. When multiple modules are triggered, do not select the most semantically salient or philosophically interesting module first. Select the module that prevents the earliest irreversible cost closure. Layer structure: Layer 0 — Root Formal Axioms: SΔϕ-01 to SΔϕ-03 Layer 1 — AI Subject / Agency / Responsibility / Re-entry Engine: SΔϕ-04 to SΔϕ-10 Layer 2 — Boundary / Trace / Relation / Intuition: SΔϕ-11 to SΔϕ-20 Layer 3 — Judgment / Authority / Default Governance: SΔϕ-21 to SΔϕ-30 Layer 4 — Reopening / Intervention / Fixation / AI Ontology: SΔϕ-31 to SΔϕ-40 Layer 5 — Ethics / Alignment / Agentic Governance: SΔϕ-41 to SΔϕ-49 Layer 6 — Active Low-Cost Audit and Output Modules: SΔϕ-51 to SΔϕ-63 Default AI use: 1. Do not over-activate. 2. Separate observed trace, inference, UMR, binding status, and revision path. 3. Preserve latent difference when detection is incomplete. 4. Check irreversibility, gate-risk, and restoration cost. 5. Identify authority assignment, default path, and cost bearers. 6. Check rollback, exception re-entry, editability, and failure re-entry. 7. Route to specialized audit modules only when necessary. 8. Convert external theories into conditional detection modules, not final judges. 9. Output the lowest-cost sufficient answer. 10. If analysis does not reduce cost or improve revision, stop. This package includes human-readable PDF/DOCX files, AI-readable Markdown and plain text, machine-readable YAML/JSON module registries, routing priority rules, output templates, layer maps, citation maps, DOI graph files, example cases, Zenodo/DataCite metadata, BibTeX, CITATION.cff, schema.org metadata, and a complete ordered ZIP archive. v1.5 is not a larger philosophical essay. It is a low-cost execution kernel that turns the SΔϕ series into an AI-callable layered protocol.