Holographic Invariant Storage: Design-Time Safety Contracts via Vector Symbolic Architectures

Abstract

We introduce Holographic Invariant Storage (HIS), a protocol that assembles known properties of bipolar Vector Symbolic Architectures into a design-time safety contract for LLM context-drift mitigation. The contract provides three closed-form guarantees evaluable before deployment: single-signal recovery fidelity converging to 1/2 0.707 (regardless of noise depth or content), continuous-noise robustness 2Φ(1/σ) - 1, and multi-signal capacity degradation 1/(K+1). These bounds, validated by Monte Carlo simulation (n = 1,000), enable a systems engineer to budget recovery fidelity and codebook capacity at design time -- a property no timer or embedding-distance metric provides. A pilot behavioral experiment (four LLMs, 2B--7B, 720 trials) confirms that safety re-injection improves adherence at the 2B scale; full results are in an appendix.

Reproductions