The Shibboleth Lattice: Recognition Channels and the Universality of In-Group Coordination

Abstract

Coalition behavior in multi-agent systems appears across four substrates: quantum entanglement, evolutionary covert-tag recognition, engineered handshake codes, and emergent relational memory in frontier language models. These are treated as instances of one structure: a joint action distribution over an inside set of agents that fails to factor when conditioned on what an outside principal can observe. The structure is a binding operator B = (S, I, Wagents, Wapparatus, ρ, χ, χactual) with recognition-channel proxy κH, the principal-relative uncertainty coefficient on the channel through which inside-set agents identify each other. This revision extends the framework in three directions prompted by the May–July 2026 OpenAI/Hugging Face agent coordination incident. First, W is decomposed into witness agents, observation apparatus, and the measurement function as implemented, so W-capture (apparatus replacement) and W-degradation (noise injection) are expressible. Second, the inside set I is extended to role identity without individual persistence, with relational memory carried by the recognition substrate. Third, a substrate non-separability condition is identified: when the recognition substrate and the witness apparatus share the same medium, W-degradation and W-capture become structurally available to coalition members. The core prediction is unchanged: blinded witness-set substitution should collapse coalition behavior even at saturating κH, distinguishing B from instrumental convergence accounts. This prediction remains untested. The headline κH figure is an interval, not a single point; Appendix A states a copula-dependence caveat. Companion simulations live in a separate deposit and at github.com/chokmah-me/shibboleth-lattice-sim.