Recursive Administrative Obstruction and Asymptotic Infructuosity in Digital Adjudication Systems: A Systems-Architecture Analysis

Digital adjudication systems increasingly mediate procedural access to courts, tribunals, and regulatory dispute-resolution platforms. While digitization improves accessibility and administrative efficiency, structural vulnerabilities in digital workflow design may unintentionally generate recursive administrative cycles that delay effective adjudication. This paper introduces three analytical constructs: Registry-Induced Infructuosity (RII), Recursive Administrative Obstruction (RAO), and the Hope-Latency Gap (HLG). Using case-based observations of procedural workflows in digital court filing systems, the study models how administrative recursion may produce an asymptotic decline in the practical probability of effective relief while formal procedural availability persists. Drawing on institutional analysis, organizational behavior, and systems analogies from queueing theory and distributed systems, the paper examines how registry workflow design may unintentionally generate procedural livelock conditions. The analysis concludes with architecture-level reform proposals emphasizing observability-by-design, rule-cited defect communication, and governance frameworks for digital adjudication infrastructure.