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January 25, 2026Open Access

Hallucination as Geometric Overflow under v43: Boundary-Condition Failure in Large Language Models

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Authors

FSFranky Schaut

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Overview

This preprint proposes a geometric interpretation of hallucination in large language models, suggesting structural limits on expressiveness.

Key Points

  • The aim is to propose a geometric interpretation of hallucination in large language models as a structural phenomenon.
  • Introduced geometric perspective on hallucination as a result of continued generative motion beyond semantic limits.
  • Analyzed effects of forced-answer regimes on admissible regions connected to hallucination.
  • Avoided traditional frameworks focusing on latent manifold structures or mitigation techniques.
  • Hallucinations occur due to the deformation of semantic boundaries under stress conditions.
  • Eliminating hallucination completely is structurally incompatible with a model's expressive capacity.

Cite This Study

Franky Schaut (2026) studied this question.

synapsesocial.com/papers/6975b26ffeba4585c2d6de27https://doi.org/10.5281/zenodo.18352249
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