Relational Field Constants: A Structural Theory of Multi-Agent Coherence

What conditions allow a multi-agent system, whether human, artificial, or hybrid, to remain coherent, adaptive, and non-extractive over time? This paper proposes four structural constants: Reciprocity, Embodiment, Non-Domination, and Emergence, framed not as ethical aspirations but as measurable system properties. Analysis reveals a dependency topology in which Reciprocity functions as a generative substrate, Embodiment as a constraint layer, and Non-Domination as a governance condition, while Emergence functions as a dependent output variable. This reframes emergence as the observable signal of system health rather than a peer constant. The paper introduces a composite measurement framework, Reciprocal Constraint Density (RCD = R × Eᴅ × N), along with a stress-test experimental protocol for validating the topology empirically. It provides the theoretical foundation for the companion Syzygy Rosetta evaluation infrastructure.