THE GENERALIZED REFERENCE-CONDITIONED PROJECTION-ADJUDICATION THEORY GRCPAT

This paper develops the proposed Generalized Reference-Conditioned Projection-Adjudication Theory (GRCPAT), an abstract framework for analyzing how system states, representations, evaluation criteria, alternative branches, and adjudication rules interact. Its motivating problem is that two or more alternatives may be rationally admissible under different declared criteria while producing conflicting rankings. Such disagreement need not constitute a logical contradiction: it may arise from genuine trade-offs, different system boundaries, incomplete evidence, representational loss, different time horizons, or the absence of a rule that selects among otherwise admissible alternatives.GRCPAT separates six analytical objects: the underlying system state, its observed data, its representation, the criterion-conditioned evaluation, the admissibility of a proposed branch, and the rule by which competing branches are adjudicated. The framework is designed to accommodate a finite or appropriately defined infinite family of branches, domain-specific transition laws, multiple evaluation criteria, non-scalar outcomes, uncertainty, dynamic stability, and feedback-mediated changes.A primary motivating case examines a hypothetical economy in which everyone seeks to become a business founder while few people are willing to fill the operational roles required by those businesses. A second branch allows differentiated occupational roles and functional coordination. A further comparison evaluates operational success against environmental externalities and long-run sustainability. This example illustrates how changing criteria can change evaluations without automatically changing the underlying state; actual state changes arise only when actions or processes alter the system.The paper formalizes notation, identifies conditional propositions, distinguishes state proximity from dynamic stability, specifies an adjudication protocol, and proposes a 26-layer research architecture. It does not claim that the framework is already a proven universal law. Its scientific status depends on precise domain-specific models, valid proofs, reproducible analysis, empirical identification, and a comparative demonstration of novelty and explanatory value.Keywords: reference-conditioned evaluation; projection; adjudication; multi-branch systems; criterion dependence; ranking reversal; dynamic stability; epistemology; system boundaries; operational coordination; environmental externalities.

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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.24005666
Primary Topic
Multi-Criteria Decision Making
Type
preprint
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preprint

THE GENERALIZED REFERENCE-CONDITIONED PROJECTION-ADJUDICATION THEORY GRCPAT

Shamiul Hoque Shan
1 links
Zenodo (CERN European Organization for Nuclear Research)
Multi-Criteria Decision Making
preprint

THE GENERALIZED REFERENCE-CONDITIONED PROJECTION-ADJUDICATION THEORY GRCPAT

Shamiul Hoque Shan
preprint en

Abstract

This paper develops the proposed Generalized Reference-Conditioned Projection-Adjudication Theory (GRCPAT), an abstract framework for analyzing how system states, representations, evaluation criteria, alternative branches, and adjudication rules interact. Its motivating problem is that two or more alternatives may be rationally admissible under different declared criteria while producing conflicting rankings. Such disagreement need not constitute a logical contradiction: it may arise from genuine trade-offs, different system boundaries, incomplete evidence, representational loss, different time horizons, or the absence of a rule that selects among otherwise admissible alternatives.GRCPAT separates six analytical objects: the underlying system state, its observed data, its representation, the criterion-conditioned evaluation, the admissibility of a proposed branch, and the rule by which competing branches are adjudicated. The framework is designed to accommodate a finite or appropriately defined infinite family of branches, domain-specific transition laws, multiple evaluation criteria, non-scalar outcomes, uncertainty, dynamic stability, and feedback-mediated changes.A primary motivating case examines a hypothetical economy in which everyone seeks to become a business founder while few people are willing to fill the operational roles required by those businesses. A second branch allows differentiated occupational roles and functional coordination. A further comparison evaluates operational success against environmental externalities and long-run sustainability. This example illustrates how changing criteria can change evaluations without automatically changing the underlying state; actual state changes arise only when actions or processes alter the system.The paper formalizes notation, identifies conditional propositions, distinguishes state proximity from dynamic stability, specifies an adjudication protocol, and proposes a 26-layer research architecture. It does not claim that the framework is already a proven universal law. Its scientific status depends on precise domain-specific models, valid proofs, reproducible analysis, empirical identification, and a comparative demonstration of novelty and explanatory value.Keywords: reference-conditioned evaluation; projection; adjudication; multi-branch systems; criterion dependence; ranking reversal; dynamic stability; epistemology; system boundaries; operational coordination; environmental externalities.

Zenodo (CERN European Organization for Nuclear Research)
Multi-Criteria Decision Making
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