A Quantum Mechanical Analogy for Interpersonal Understanding: Operators, Representations, and Eigenvalues

A Quantum Mechanical Analogy for Interpersonal Understanding: Operators, Representations, and Eigenvalues

Authors: Zhang Mingkai · Yu Qing (Co-first)

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Abstract

This paper develops an analogical framework that borrows the mathematical formalism of quantum mechanics...

Key Results

1. Axiomatic foundation: Three postulates formalizing the individual as an operator
2. Proposition 1: Observer-independence constraint
3. Proposition 2: Non-uniqueness of eigenvalue sets — ill-posed inverse problem
4. Proposition 3: Inexhaustibility of understanding
5. Spectral decomposition: Three-phase operational theory of tolerance

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License: MIT © 2026 Zhang Mingkai & Yu Qing