Observations on Style Convergence and Cognitive Layer Convergence in Long-Term Dialogue － A Preliminary Observational Report on Human–AI and Human–Human Interactions

This preliminary report documents observed phenomena of style convergence and cognitive layer convergence in long-term dialogues involving AI models (Grok, Copilot) and human participants. These observations motivated the formulation of the Shared Objective Function Hypothesis, which proposes that the observed convergence phenomena may be associated with the emergence of partially shared objectives during long-term dialogue. No causal relationships are claimed. The findings are discussed from the perspective of Load Minimization Theory (LMT).