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

arXiv:2603.13558 · stat.ML, cs.CL, cs.IT, cs.LG, math.IT · Submitted 2026-03-13 · Read on arXiv

stat.ML, cs.CL, cs.IT, cs.LG, math.IT

Submitted: 2026-03-13

Updated: 2026-08-24

Comments: The experiment has a design defect: the VSA drift trigger was not in the causal path of its own runs, so the results do not test the claimed mechanism. Clean-room replication: content-aware re-injection beats neither random re-injection (p=0.46) nor a fixed timer (p=0.29), while positive controls confirm task signal (p=0.002, p=0.001). The conclusions are unsupported and should not be cited

Code: https://github.com/Belverith/Aetheris-Research

License: http://creativecommons.org/licenses/by/4.0/

The gist: 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

Terminology

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 about 0.707 (regardless of noise depth or content), continuous-noise robustness 2Φ(1/σ) - 1, and multi-signal capacity degradation about 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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