THE CONSTRAINT-INDUCED FUNCTIONAL INCOMPATIBILITY-DISEQUILIBRIUM THEORY (CFIDT)

The Constraint-Induced Functional Incompatibility-Disequilibrium Theory (CFIDT) is proposed as an integrative framework for analyzing systems in which multiple essential functional demands may be jointly unattainable under a specified set of constraints. The framework begins with the proposition that a system may face several functionally important demands whose acceptable levels cannot all be achieved by any admissible decision. In such a case, a decision can satisfy some demands while leaving at least one essential demand below its required threshold. The resulting residual deficit may be temporary, persistent, accumulated, or amplified through feedback, depending on the system's structure and dynamics.The primary case is the Unreciprocated Attachment-Self-Respect Functional Dilemma (UASR-FD). It concerns a focal person who experiences intense attachment toward a second person who does not reciprocate that attachment, while the focal person also experiences a strong need to preserve self-respect and personal boundaries. The case is retained as the central reference throughout the proposed architecture. Importantly, the framework does not assume that emotional attachment and self-respect are universally incompatible; incompatibility must be established for a precisely defined behavior set, time horizon, and performance criterion.The paper defines the system boundary, functional demands, constraints, decision set, performance thresholds, normalized deficits, joint-feasibility set, and a minimum-maximum deficit measure. It then distinguishes functional trade-offs, conflicts, decision dilemmas, formal contradictions, paradoxes, divergence, disequilibrium, oscillation, instability, and structural transition. Temporal deficit accumulation, conditional feedback, weighted network representations, and N-system generalization are presented as extensions.Seventeen conceptual layers and twelve mechanism modules organize the framework from ontology and case formalization to mathematical representation, operationalization, simulation, falsifiability, and cross-domain evaluation. Ten candidate application domains are identified. The resulting architecture is a research proposal rather than an empirically established universal law. Its independent contribution must be evaluated against existing work on multi-objective optimization, systems engineering, systems dynamics, and scientific model testing.Keywords: CFIDT; functional incompatibility; functional disequilibrium; essential functional demands; constrained decision-making; residual deficit; joint feasibility; feedback dynamics; system networks; falsifiability.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.24005209
Primary Topic
Complex Systems and Decision Making
Type
preprint
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preprint

THE CONSTRAINT-INDUCED FUNCTIONAL INCOMPATIBILITY-DISEQUILIBRIUM THEORY (CFIDT)

Shamiul Hoque Shan
6 links
Zenodo (CERN European Organization for Nuclear Research)
Complex Systems and Decision Making
preprint

THE CONSTRAINT-INDUCED FUNCTIONAL INCOMPATIBILITY-DISEQUILIBRIUM THEORY (CFIDT)

Shamiul Hoque Shan
preprint en

Abstract

The Constraint-Induced Functional Incompatibility-Disequilibrium Theory (CFIDT) is proposed as an integrative framework for analyzing systems in which multiple essential functional demands may be jointly unattainable under a specified set of constraints. The framework begins with the proposition that a system may face several functionally important demands whose acceptable levels cannot all be achieved by any admissible decision. In such a case, a decision can satisfy some demands while leaving at least one essential demand below its required threshold. The resulting residual deficit may be temporary, persistent, accumulated, or amplified through feedback, depending on the system's structure and dynamics.The primary case is the Unreciprocated Attachment-Self-Respect Functional Dilemma (UASR-FD). It concerns a focal person who experiences intense attachment toward a second person who does not reciprocate that attachment, while the focal person also experiences a strong need to preserve self-respect and personal boundaries. The case is retained as the central reference throughout the proposed architecture. Importantly, the framework does not assume that emotional attachment and self-respect are universally incompatible; incompatibility must be established for a precisely defined behavior set, time horizon, and performance criterion.The paper defines the system boundary, functional demands, constraints, decision set, performance thresholds, normalized deficits, joint-feasibility set, and a minimum-maximum deficit measure. It then distinguishes functional trade-offs, conflicts, decision dilemmas, formal contradictions, paradoxes, divergence, disequilibrium, oscillation, instability, and structural transition. Temporal deficit accumulation, conditional feedback, weighted network representations, and N-system generalization are presented as extensions.Seventeen conceptual layers and twelve mechanism modules organize the framework from ontology and case formalization to mathematical representation, operationalization, simulation, falsifiability, and cross-domain evaluation. Ten candidate application domains are identified. The resulting architecture is a research proposal rather than an empirically established universal law. Its independent contribution must be evaluated against existing work on multi-objective optimization, systems engineering, systems dynamics, and scientific model testing.Keywords: CFIDT; functional incompatibility; functional disequilibrium; essential functional demands; constrained decision-making; residual deficit; joint feasibility; feedback dynamics; system networks; falsifiability.

Zenodo (CERN European Organization for Nuclear Research)
Complex Systems and Decision Making
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