Deterministic State Stabilization in RTGS Systems

This document presents a direct architectural derivationand applied extension of the Perceptual Stabilization Transition Architecture, demonstrating its structural instantiation within Real-Time Gross Settlement systems. The objective is to show how deterministic representational stabilization can be introduced into financial infrastructures without modifying the internal operation of settlement cores. The analysis defines the structural domain of informational state systems in which authoritative states are produced internally while externally observable representations are generated through separate representational mechanisms. RTGS systems provide a suitable instantiation environment due to the clear separation between settlement processing and representational communication. The architectural model is defined through the authoritative state domain 𝒜, the domain of representational state candidates ℛ, the deterministic equivalence verification function Δ(a,r), the stabilized verification condition State V, and the representational exposure boundary. Together, these elements establish the structural conditions under which representational exposure becomes a conditionally governed transition rather than an automatic consequence of authoritative state production. A deterministic transition pipeline governs the sequence through which authoritative settlement states are received, verified through Δ(a,r), stabilized, and conditionally projected to external interfaces. The structural consequences include the elimination of representational indeterminacy, the prevention of Perceptive Vacuum instances, and the behavioral distinction between representational absence and provisional exposure.