A Statistical-Mechanical Model of Human Pair-Bond Formation and Stability

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Authors: Kappa Fyne
Cited by: 0

Abstract

We present a statistical-mechanical framework for modeling human dating as a stochastic, interacting-agent system far from equilibrium. Individuals are represented by hidden internal state vectors coupled through noisy communication channels, giving rise to emergent relational dynamics. An effective interaction potential is constructed from compatibility, friction, cost, and reward terms, while environmental stress and social context are modeled through a temperature-like control parameter. Using Langevin-type equations, Bayesian inference, and Landau-style free energy expansions, we analyze the evolution of closeness, trust, and commitment. The model predicts phase transitions between casual, exclusive, and disengaged regimes, metastable configurations corresponding to prolonged ``situationships,'' and stress-activated dissolution events. A reduced one-dimensional bond-strength model is derived through coarse-graining, yielding simple stability criteria. Despite its idealized nature and unavoidable parameter degeneracies, the framework generates testable predictions regarding uncertainty decay, conflict accumulation, and commitment thresholds. We argue that dating exhibits universal features common to driven complex systems, including critical slowing down near relational transitions and hysteresis following rupture, suggesting that, in some respects, romance behaves less like poetry and more like condensed matter.

Fields of Study & Subjects

Attachment and Relationship Dynamics Complex Systems and Dynamics Evolutionary Psychology and Human Behavior

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
14 February 2026
Language
EN
Document type
Preprint