This volume completes the foundational arc of CPDGE-Ω by addressing its final vulnerability: survival under certification, law, regulation, courts, and time. Historically, correct scientific constraints fail not at the level of theory, but at the moment they are cited, certified, institutionalized, or partially adopted. Volume III formalizes the conditions under which claims of legitimacy, compliance, or admissibility cannot be made under CPDGE-Ω, without converting the science into governance, policy, ethics, or authority. CPDGE-Ω Volume III treats certification itself as a structural attack surface. It specifies an artifact-centric certification model that binds claims exclusively to inspectable, refusal-preserving artifacts, while categorically excluding intent, outcomes, optimization, ethical alignment, or improvement from certifiability. Certification under CPDGE-Ω does not evaluate actors, motives, or benefits; it constrains claims by the presence or absence of a minimum artifact set sufficient to preserve refusal capacity and time-bound admissibility. This volume formalizes disqualifying failure modes including partial adoption, self-certification, interpretive discretion, normativity by repetition, and structural mimicry, treating them not as misuse, but as claim-invalidating conditions. It defines explicit certification classes that separate graded use from binary admissibility, ensuring experimentation and advisory interaction do not collapse into implicit authorization. Language itself is treated as structurally binding: certain normative or optimization-laden terms automatically void certification regardless of intent. Volume III further specifies strict legal, regulatory, and judicial interface constraints. CPDGE-Ω may be cited only to determine whether an admissibility boundary was crossed; it cannot generate duties, standards of care, safe harbors, or mandates. Mandatory exclusion clauses prevent harmonization, substitution, optimization, or authority transfer. Courts, agencies, and treaties may reference CPDGE-Ω only as a pre-action admissibility science, not as a governance or compliance regime. Crucially, this volume affirms the absence of central authority, including founder authority. CPDGE-Ω has no steward, interpreter, or enforcement body. Enforcement consists solely of exposure: demonstrating that a claim exceeds what the artifacts structurally support. Certain residual non-loss states are explicitly permitted, not as flaws, but as the boundary condition of non-coercive power. CPDGE-Ω Volume III does not complete the science by expanding its reach. It completes it by limiting what may be claimed in its name. Together with Volumes I and II, it ensures that CPDGE-Ω remains a diagnostic, pre-action, non-authoritative science whose constraints persist under institutional pressure without mutating into governance, policy, or ethics.