The Resolution Ceiling Operator (RCO, ⌈R⌉): A Boundary Criterion for Distinguishing Structural Limits from Contradictions

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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-14
DOI
https://doi.org/10.5281/zenodo.18641738
Primary Topic
Philosophy and History of Science
Type
article
Field-Weighted Citation Impact
0.00
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article

The Resolution Ceiling Operator (RCO, ⌈R⌉): A Boundary Criterion for Distinguishing Structural Limits from Contradictions

Andrew John Paton
Zenodo (CERN European Organization for Nuclear Research)
Philosophy and History of Science
article

The Resolution Ceiling Operator (RCO, ⌈R⌉): A Boundary Criterion for Distinguishing Structural Limits from Contradictions

Andrew John Paton
article en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 62%
Philosophy and History of Science
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