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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Quantization of Conflict Resolution Models via Complex Wave Functions: A Wave-Mechanical Reconstruction of GMCR

Authors: Dejima, Tatsuya;

Quantization of Conflict Resolution Models via Complex Wave Functions: A Wave-Mechanical Reconstruction of GMCR

Abstract

[English Abstract]This paper proposes a novel mathematical framework that maps the three fundamental parameters of the Graph Model for Conflict Resolution (GMCR)—"Preferences," "Morphisms," and "Stability"—onto a complex plane and the wave functions of quantum mechanics. In contrast to the discrete and static descriptions found in conventional category-theoretic approaches (C-GMCR), our model directly incorporates the raw dynamics of human emotions, such as "anger" and "malice," into the off-diagonal elements of the Hamiltonian (total energy matrix) as "complex phase interference effects." Through numerical simulation using a 4×4 complex matrix via Python, we mathematically demonstrate that when mutual distrust reaches its extreme (anti-phase), emotional interference completely overrides pragmatic utility, triggering a discontinuous quantum phase transition of the entire social system's ground state from "coexistence" to "mutual destruction."

Keywords

Graph Model, Complex Wave Function, Schrodinger Equation, for Conflict Resolution, Universe OS, GMCR, Quantum Game Theory, Social Phase Transition

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average