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

Machine Learning 2026-03-17 v1 Computation and Language Information Theory Machine Learning math.IT

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 1/20.7071/\sqrt{2} \approx 0.707 (regardless of noise depth or content), continuous-noise robustness 2Φ(1/σ)12\Phi(1/\sigma) - 1, and multi-signal capacity degradation 1/(K+1)\approx\sqrt{1/(K+1)}. These bounds, validated by Monte Carlo simulation (n=1,000n = 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.

Keywords

Cite

@article{arxiv.2603.13558,
  title  = {Holographic Invariant Storage: Design-Time Safety Contracts via Vector Symbolic Architectures},
  author = {Arsenios Scrivens},
  journal= {arXiv preprint arXiv:2603.13558},
  year   = {2026}
}

Comments

25 pages, 7 figures, includes appendices with extended proofs and pilot LLM experiment