The Systemic Frame-Operation Coherence Principle (SFOCP): A Proposed Framework for Analyzing Compatibility Between Targets, Conceptual Frames, Operations, and Outcomes
- 1Independent Researcher
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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BibTeX
@misc{shan2026systemic,
title = {{The Systemic Frame-Operation Coherence Principle (SFOCP): A Proposed Framework for Analyzing Compatibility Between Targets, Conceptual Frames, Operations, and Outcomes}},
author = {Shamiul Hoque Shan},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23544829},
url = {https://zenodo.org/records/23544829},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - The Systemic Frame-Operation Coherence Principle (SFOCP): A Proposed Framework for Analyzing Compatibility Between Targets, Conceptual Frames, Operations, and Outcomes
AU - Shamiul Hoque Shan
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23544829
UR - https://zenodo.org/records/23544829
AB - -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.
ER -