Normative Information Preservation in Representational Renormalization: An Investigation of Contestability and Remedial Authority

Institutional representations condense heterogeneous histories into classifications, records, and indicators that may shape consequential decisions. This paper asks when an institution can responsibly rely on a reduced description while retaining the capacity to recognize, examine, and respond to challenges that its own categories may obscure. The central thesis is conditional: representational adequacy for a declared question, evidential access, review competence, effective correction, and the legitimacy of the governing criteria require distinct warrants. None alone establishes the others. Elementary results on factorization, approximation, indistinguishability, and guarded reachability identify where particular inferences fail under stipulated assumptions; they establish neither moral verdicts nor institutional powers. Renormalization supplies a bounded analogy rather than a demonstrated physical scaling law for institutions. Drawing on work in classification, epistemic injustice, sociotechnical abstraction, and accountability, the paper proposes a question-indexed, seven-part cross-stage inquiry covering recognition, evidence, access, competence, transfer, response, and frame review. Its incremental value lies in locating the precise stage and missing warrant between an identifiable representational distinction and a potentially consequential institutional response, rather than introducing new mathematics or generic audit principles. Fourteen propositions are editorially classified by mathematical role and inferential limits. Constructed cases consider excluded claims, feedback, protected evidence, referrals, competing remedies, and challenges to evaluative rules. A prospective protocol compares the proposed integrated register with competent existing procedures, including the possibility of equivalent performance, greater burden, unsafe disclosure, and inconclusive effects. No empirical implementation, legal validation, causal estimate, or independent moral proof is claimed. The result is a bounded investigative method whose usefulness depends on independently warranted questions, reliable evidence, legitimate institutional authority, and comparative performance.