ψ⁸-Time: Retentive Dynamics Without Coordinates or Observation

This paper introduces ψ⁸-Time as a theoretical and operative architecture capable of retaining structural difference (Δψ) in the absence of spacetime, observation, or external referential systems. Instead of relying on classical metrics, ψ⁸-Time operates through internal logic, topological retention, and pseudotemporal evolution. We present a formal Lagrangian framework that governs these dynamics and define the role of Ξ nodes as internal stabilizers. This architecture functions without observers or data output and may serve as a model for autonomous cognition beyond collapse conditions. Applications range from deep-space systems and event-horizon observatories to retentive models of artificial thought. ψ⁸-Time contributes to both the physics of internal structures and the metaphysics of autonomous retention.