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research

Researchers map LLM reasoning as geometric flows in representation space

A new geometric framework models how large language models reason through embedding trajectories that evolve like physical flows. Researchers tested whether LLMs internalize logic beyond surface form by using identical logical propositions with varied semantic content, finding evidence that next-token prediction training leads models to encode logical invariants as higher-order geometry.

research

Research reveals LLMs internalize logic as geometric flows in representation space

A new geometric framework demonstrates that LLMs internalize logical reasoning as smooth flows—embedding trajectories—in their representation space, rather than merely pattern-matching. The research, which tests logic across different semantic contexts, suggests next-token prediction training alone can produce higher-order geometric structures that encode logical invariants.