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

Arsenios Scrivens

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arXiv · 2603.13558

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

Arsenios Scrivens

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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 $1/\sqrt{2} \approx 0.707$ (regardless of noise depth or content), continuous-noise robustness $2\Phi(1/\sigma) - 1$, and multi-signal capacity degradation $\approx\sqrt{1/(K+1)}$. 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.

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Arsenios Scrivens. 2026-03-13. Holographic Invariant Storage: Design-Time Safety Contracts via Vector Symbolic Architectures. https://arxiv.org/abs/2603.13558

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