Comment on arXiv:2511.21731v1: Identifying Quantum Structure in AI Language: Evidence for Evolutionary Convergence of Human and Artificial Cognition

TL;DR

This paper critically reviews a previous study claiming quantum structures in AI language, clarifying the interpretations of Bell-type calculations and Bose-Einstein fits, and emphasizing the need for cautious conclusions about quantum entanglement in language models.

Contribution

It provides a detailed critique of prior claims, clarifying the limitations of their quantum interpretations and highlighting the importance of rigorous analysis in identifying genuine quantum effects in AI language data.

Findings

Highlights potential overinterpretation of Bell-type calculations.

Points out inconsistencies in the energy-level analogy.

Emphasizes cautious interpretation of Bose-Einstein fits.

Abstract

This note is a friendly technical check of arXiv:2511.21731v1. I highlight a few places where the manuscript's interpretation of (i) the reported CHSH/Bell-type calculations and (ii) Bose--Einstein (BE) fits to rank-frequency data seems to go beyond what the stated procedures can firmly support. I also point out one internal inconsistency in the "energy-level spacing" analogy. The aim is constructive: to keep the interesting empirical observations, while making clear what they do (and do not) imply about quantum entanglement in the usual Hilbert-space sense, especially when "energy" is defined by rank.