arXiv:2508.01097cs.AI
Multispin Physics of AI Tipping Points and Hallucinations
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Abstract
Output from generative AI such as ChatGPT, can be repetitive and biased. But more worrying is that this output can mysteriously tip mid-response from good (correct) to bad (misleading or wrong) without the user noticing. In 2024 alone, this reportedly caused $67 billion in losses and several deaths. Establishing a mathematical mapping to a multispin thermal system, we reveal a hidden tipping instability at the scale of the AI's 'atom' (basic Attention head). We derive a simple but essentially exact formula for this tipping point which shows directly the impact of a user's prompt choice and the AI's training bias. We then show how the output tipping can get amplified by the AI's multilayer architecture. As well as helping improve AI transparency, explainability and performance, our results open a path to quantifying users' AI risk and legal liabilities.
Agreed, putting effort into my side of the role-play almost always improves the model's responses. The attention required to do that also makes it more likely that I'll notice when the conversation first starts going off the rails: when it hits the phase transition…
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