Orthogonal Probing and the Geometry of LLM Entropy: Empirical Evidence for Axis-Rotation Auditing of LLM-Generated Artifacts

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Abstract

When LLMs audit artifacts from the same semantic direction used to generate them, they re-enter the same compressed manifold region, producing rising confidence while discovery stalls --- a failure mode we term Generator-Auditor Symmetry (GAS). Orthogonal Auditing by Rotation (OAR) escapes this by selecting probe directions via cosine distance in embedding space, accumulating confirmed defect classes in a persistent registry, and stopping when the false-positive rate signals entropy exhaustion (P2 floor). Single-pass T2 experiments on eight external codebases (vLLM, LangChain, Gradio, MLflow, Superset, LiteLLM, Dify, Open WebUI) yield a 1.5--2.5x exclusive discovery advantage over same-axis baselines, with…

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Topics & keywords

Keywords
  • Entropy (arrow of time)
  • Codebase
  • Orthogonality
  • ENCODE
  • Principle of maximum entropy
  • Manifold (fluid mechanics)
  • Source code
  • Knot (papermaking)
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