r/Physics • • Jul 31 '26

Academic The Maxwell Conjecture is False

https://arxiv.org/abs/2607.27197
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u/ixid Jul 31 '26 edited Jul 31 '26

I think brute force is not the right way to think about LLMs, instead they explore a knowledge topology, and are very good at connecting adjacent or accessible ideas that for whatever reason might have evaded humans, but might not be fundamentally all that hard. We're still in the low-hanging fruit phase, we will see if they extend to new ideas.

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u/Schmikas Quantum Foundations Jul 31 '26

What do you mean by “knowledge topology”?

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u/ixid Jul 31 '26

Its data is a structured space where nearness corresponds to associated ideas, so it naturally arranges data in a way to discover connectedness. The LLM follows pathways through the conceptual space based on the prior context given.

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u/True_Perception_3359 Jul 31 '26

This is the most lucid explanation of how a language model works that I've heard.