The Systemic Frame-Operation Coherence Principle (SFOCP): A Proposed Framework for Analyzing Compatibility Between Targets, Conceptual Frames, Operations, and Outcomes
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Abstract
-Shamiul Hoque Shan
This manuscript proposes the Systemic Frame-Operation Coherence Principle (SFOCP)
as a provisional analytical framework for examining the compatibility of a target, a conceptual
or structural frame, an operation, and the outcome produced by their interaction. Its primary
motivating case is the Non-Religious Categorical Ranking Paradox (NCRP), concerning
the conditions under which a non-religious identity or group may be included in a ranking
described as a ranking of religions. The case does not establish a paradox merely by naming
it: its classification depends on the declared scope of the category, the membership rule,
the operation being performed, and the metric used for comparison. A ranking of religious
and non-religious identity groups may be coherent, whereas placing a non-religious group
inside a strictly defined class of religions without justification may constitute a category error.
Ambiguous claims about which group is "growing most" introduce a separate measurement
problem unless absolute growth, relative growth, and population share are distinguished.
The manuscript develops operational definitions, a compatibility architecture, a condi-
tional mathematical representation, six analytical layers, and a proposed thirty-case research
matrix. It distinguishes logical inconsistency, semantic ambiguity, measurement error, model
misspecification, operational failure, and genuine paradox. It also specifies assumptions, coun-
terexamples, rival explanations, and falsification requirements. The formalism is intentionally
conditional: the equations organize the analysis but do not, by themselves, prove that one
universal law governs every system. No empirical validation or literature-wide novelty claim
is asserted here. The framework is presented as a research proposal whose generality must be
established through operationalization, comparative testing, and independent replication.
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References
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