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