Recursive Symbolic Stabilizers: Inertium × 〚 κ 〛

This paper presents a new symbolic stabilization method combining two mathematical components—Inertium, a time-based decay function, and ⟦κ⟧, an irrational constant derived from a golden-ratio-based recursive equation. Together, they form a hybrid stabilizer capable of preserving symbolic memory structures, reducing volatility, and maintaining coherence in noisy or drift-prone systems. We demonstrate this stabilizer across three symbolic simulation tests: Fidelity decay in entangled-like states, Retention of symbolic memory loops, Suppression of stochastic symbolic drift. The results show that the stacked Inertium × ⟦κ⟧ model outperforms individual stabilizers in all cases, confirming the potential of recursive symbolic damping for advanced AI systems, modular computation, and emerging hybrid quantum-symbolic architectures. Applications and future pathways are discussed, including symbolic cognition agents, recursive memory fields, and symbolic containment of unstable systems. The paper concludes with a roadmap for integration into both classical and quantum systems.