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Exploring quantum Heider balance theory.

Anahid Kiani1, S Mahdi Fazeli2, G Reza Jafari3

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Summary
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This study introduces a quantum mechanical framework for social balance theory, revealing that relationships can exist in superposition states. This quantum approach uncovers new social dynamics and insights into complex networks.

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Area of Science:

  • Social Psychology
  • Quantum Mechanics
  • Network Science

Background:

  • Heider's balance theory describes social relationships in triads.
  • Classical physics limits the observation of complex, simultaneous social states.
  • Social relationships may exist in a superposition of balanced and imbalanced states.

Purpose of the Study:

  • To generalize classical balance theory into a quantum mechanical framework.
  • To explore social dynamics unobservable under classical limitations.
  • To investigate quantum social systems for insights into collective behavior.

Main Methods:

  • Developed a quantum generalization of balance theory.
  • Introduced quantum mechanical tools: creation and annihilation operators and a new Hamiltonian.
  • Analyzed quantum evolution under disorder (temperature) to examine ground and stable states.

Main Results:

  • Identified inherent social states within balance theory that are unobservable classically.
  • Observed a transition point from balanced to random phase states under disorder.
  • Revealed novel dynamic behaviors unique to quantum social systems.

Conclusions:

  • Quantum mechanics provides a novel framework for understanding social relationships.
  • The quantum approach offers new insights into collective decision-making and conflict resolution.
  • This work opens avenues for studying the emergence of order in complex social networks.