We introduce the IFO Relational Stability Equation (IFO–RSE), a nonlinear dynamical framework modeling romantic relationships as informational fields governed by coupling, entropy, identity entanglement, and rival perturbations. The model formalizes jealousy as an exponential amplification operator and demonstrates that relational systems exhibit metastability, bifurcation behavior, and catastrophic phase transitions. Numerical simulations reveal distinct regimes corresponding to early-stage and long-term relationships, showing that while early systems are continuously unstable, long-term systems maintain stability until a critical rival threshold is exceeded, at which point collapse occurs abruptly. This framework integrates psychological, philosophical, and mathematical perspectives into a unified theory of relational dynamics.
SİNAN İBAGÜNER (Fri,) studied this question.