The Resolution Ceiling Operator (RCO, ⌈R⌉) is a formal conceptual constraint that distinguishes between true structural contradictions and apparent paradoxes arising from insufficient observational or inferential resolution. The operator functions as a diagnostic boundary test applicable across scientific, logical, and analytical domains. It introduces an objective admissibility condition for determining when an explanation failure reflects a limitation of measurement or representation rather than a flaw in underlying structure. The construct is non-interfering, domain-agnostic, and designed as a classification overlay rather than a replacement for existing theories. It provides a testable criterion for distinguishing structural impossibility from observational limitation and is intended for use in reasoning analysis, model validation, paradox classification, and interpretive stability assessment.
Andrew John Paton (Sat,) studied this question.