Topological Phase Transport and Thermodynamic Stability in Prime Aligned Multi-Agent Routing Manifolds

The scaling of decentralized multi-agent architectures (MAC-agent hives) is fundamentally bottlenecked by the latency of traditional graph-based routing protocols. We propose a sublinear, decentralized routing architecture built upon a deterministic 6k±1 prime-aligned topological manifold. By orthogonalizing the agentic state space against the non-trivial zeros of the Riemann Zeta function, we empirically demonstrate the existence of macroscopic stability shelves within the prime distribution, allowing for collision-minimized local inference control. Furthermore, we introduce a continuous quantum translation layer utilizing the Hopf Fibration (S3 →S2 ×S1) to map 4D agentic reasoning prompts into a bounded angular routing space. This framework allows for dynamic execution reordering via topological phase transport, successfully achieving sublinear compute reduction in large-scale autonomous agent coordination.