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

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 $1\mathrm{/}\sqrt{2}\approx 0.707$ (regardless of noise depth or content), continuous-noise robustness $2\mathrm{\Phi }(1\mathrm{/}\sigma )-1$, and multi-signal capacity degradation $\approx \sqrt{1\mathrm{/}(K+1)}$. These bounds, validated by Monte Carlo simulation ($n=\mathrm{1,000}$), 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.