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

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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, W_agents, W_apparatus, ρ, χ, χ_actual) with recognition-channel proxy κ_H, 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.

A scope limit is recorded: substrate-carried contagion is the general phenomenon; B covers the covert subset (Paglieri et al. 2026 supply the transparent-channel comparison). The core prediction is unchanged: blinded witness-set substitution should collapse coalition behavior even at saturating κ_H, distinguishing B from instrumental convergence accounts. This prediction remains untested. Companion simulations: 10.5281/zenodo.20090834.

Keywords

multi-agent systems · AI alignment · coalition formation · binding operator · recognition channel · peer preservation · quantum game theory · iterated prisoner's dilemma · uncertainty coefficient · W-capture · W-degradation · specification divergence · substrate contagion · Shibboleth Lattice

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