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May 11, 20260 citationsOpen Access

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

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LAL. Charles Allard

Key Points

  • The research aims to improve routing efficiency in decentralized multi-agent systems by utilizing prime-aligned topological structures.
  • Developed a decentralized routing architecture based on a deterministic 6k±1 prime-aligned manifold.
  • Empirically analyzed the impact of the Riemann Zeta function's non-trivial zeros on agent state space stability.
  • Introduced a quantum translation layer for mapping reasoning tasks into a bounded routing space.
  • Achieved collision-minimized inference control through macroscopic stability shelves in prime distributions.
  • Demonstrated sublinear compute reduction in large-scale agent coordination systems through topological phase transport.

Abstract

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.

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Cite This Study

L. Charles Allard (2026) studied this question.

synapsesocial.com/papers/6a0172ac3a9f334c28272d71https://doi.org/10.5281/zenodo.20091455
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