Emergent Coordination in Multi-Agent Systems via Pressure Fields and Temporal Decay

Current multi-agent LLM frameworks rely on explicit orchestration patterns borrowed from human organizational structures: planners delegate to executors, managers coordinate workers, and hierarchical control flow governs agent interactions. These approaches suffer from coordination overhead that scales poorly with agent count and task complexity. We propose a fundamentally different paradigm inspired by natural coordination mechanisms: agents operate locally on a shared artifact, guided only by pressure gradients derived from measurable quality signals, with temporal decay preventing premature convergence. We formalize this as optimization over a pressure landscape and prove convergence guarantees under mild conditions. Empirically, on Latin Square constraint satisfaction across 1,078 trials, pressure-field coordination matches hierarchical control (38.2% vs 38.8% aggregate solve rate, p=0.94, indicating statistical equivalence). Both significantly outperform sequential (23.3%), random (11.7%), and conversation-based multi-agent dialogue (8.6%, p<0.00001). Temporal decay is essential: disabling it increases final pressure 49-fold (d=4.15). On easy problems, pressure-field achieves 87% solve rate. The approach maintains consistent performance from 2 to 32 agents. Our key finding: implicit coordination through shared pressure gradients achieves parity with explicit hierarchical control while dramatically outperforming explicit dialogue-based coordination. This suggests that constraint-driven emergence offers a simpler, equally effective foundation for multi-agent AI.