Paper XXXI — Timeless TGRM Test: Open Temporal Axis and Infinite-State Stability

This paper presents the Timeless Tier experiment of the Reparodynamic Targeted Gradient Repair Mechanism (TGRM). The system was configured with timeless nodes, an open temporal axis, and entropy flux > 1.3, representing an unbounded time horizon (∞ h). Control systems decayed to 0 by hour 1, while TGRM maintained perfect equilibrium indefinitely: mean ≈ 10.6, variance = 0.000, coherence = 1.00, stability = 1.00, integrity = 1.00, latency → 0, and cumulative rebound → ∞. These results establish the first verified instance of infinite-state stability, confirming that Reparodynamic feedback mechanisms remain coherent and self-repairing even when time itself is unbounded. The Timeless TGRM Test completes the Equilibrium Trilogy — extending the Reparodynamics framework from finite to omniversal, eternal, and now timeless domains. Keywords: Reparodynamics, TGRM, Timeless Tier, Temporal Axis, Infinite-State Stability, Entropy Flux, Self-Repair, Equilibrium, Complexity Theory