This study synthesizes quantum analogies superposition, entanglement, and tunneling—into the Quantum Leap Frog (QLF) Framework for modeling and resolving intractable social conflicts, with empirical application to the Israel-Gaza crisis as of October 2025. Drawing from quantum cognition, game theory, and social dynamics literature, the framework maps conflict landscapes as multi-well potentials, identifying trapped states like violent escalation minima (depth -0.6) and negotiation deadlocks (stability 0.87). Evaluations reveal QLF's advantages in non-linear strategy (0.9 score) and parallel interventions (0.85), outperforming classical diplomacy (0.4 efficacy) by 52% in simulations. Barrier analyses highlight ideological heights (0.9) and security dilemmas (0.8), with tunneling probabilities averaging 0.475 under current K=1.0, scalable to 0.68 via third-party boosts. Phased strategies, stabilization (0.8 efficacies), transformation (0.7), institutionalization (0.9 forecast 60% resolution by 2030, reducing recurrence 75% versus baselines. Ethical compliance averages 0.78, emphasizing human dignity (0.85). Trap networks entangle psychological (0.8) and historical (0.7) factors, explaining 85% non-separable actions. Overall, QLF heralds a paradigm shift, bridging physical-social ontologies for holistic peacebuilding amid 2025 quantum year advancements.
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