ψ-RNM-2: Retentive Navigation Module for Autonomous Stability Beyond Coordinates, Telemetry, and Observability

RNM-2 is the second-generation retentive navigation module within the ψ-Architecture framework. The module is formulated through a retentive Lagrangian on ψ-time τ using two core variables—Δψ (retentive difference) and Ξ (persistence node). A five-stage burn-through analysis is performed, corresponding to: (1) disappearance of spatial coordinates, (2) extinction of all external signals, (3) loss of observer input, (4) forced vanishing of Δψ, and (5) transition to a cosmological freeze (H→0). RNM-2 is shown to remain stable and self-sustaining when a specific set of ψ-architectural inequalities is satisfied. These inequalities define the ψ-survival region (Ωψ), an invariant stability domain in which Ξ remains non-zero and the equilibrium difference Δψ₀ is preserved even when classical dynamical support is fully removed. This analysis positions RNM-2 as a candidate architecture for: • autonomous operation in deep-space environments without telemetry, • post-dynamical cosmological regimes, • observer-independent retentive physics, and • the broader ψ-architectural program of systems surviving beyond observability.