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[2506.06382] On the Fundamental Impossibility of Hallucination Control in Large Language Models

PDF display of the paper entitled the basic impossibility of controlling hallucinations in large language models, by Micha {\ L} P. Karpowicz

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a summary:This paper determines a basic impossibility theory: LLM cannot achieve a capacity to collect uncomfortable knowledge, to represent sincere knowledge, maintain semantic information, complete revelation of relevant knowledge, and restricted knowledge. The impossibility is not geometric restrictions, but it arises from the sports structure to collect the information itself.

We establish this result by describing the process of inference as an auction of ideas, as the components distributed to exploit their partial knowledge of the formation of responses. Evidence extends to three independent sporting fields: Green-LAFONTON, the appropriate registration theory (Savage), and the direct architectural analysis of transformers. In particular, we explain how to determine the amount of excessive or intuitive responses-the signature of hallucinations, creativity, or imagination.

To support this analysis, we provide complementary concepts to measure semantic information and the appearance operator of the modeling of logical thinking in general preparation. We prove that although the specific logic generates accessible information, which provides valuable inspiration and inspiration, the ideal, unrestricted logic maintains the precisely semantic content.

By showing that hallucinations and imagination are an mathematical, identical phenomenon in the departures of honesty, preserving semantic information, detecting related knowledge, and restricted knowledge, and we provide an initial basis for managing these behaviors in advanced artificial intelligence systems. Finally, we offer some speculative ideas to inspire evaluation and improve the proposed theory.

The application date

From: Michal Karpowicz Dr [view email]
[v1]

Wed, Jun 4, 2025 23:28:39 UTC (25 KB)
[v2]

Wed, July 2, 2025 12:24:10 UTC (33 KB)
[v3]

Tuesday, July 8, 2025 11:43:16 UTC (36 kB)
[v4]

Wed, Aug 6 2025 11:34:54 UTC (48 KB)
[v5]

Thursday, Aug 21 2025 08:58:34 UTC (53 KB)

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2025-08-22 04:00:00

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