Add Hopfield (1982) — mathematical bridge between Pavlov and CRI

Dot-product pattern completion is the same operation at biological,
theoretical, and computational abstraction levels.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

paper.tex

@@ -363,6 +363,13 @@ operating in the model's internal space.
 CRI implements the Pavlovian mechanism on transformers: activation pattern (CS)
 paired with logit biases (US) produces token sequence (CR).
 
+\subsection{Associative Memory}
+
+\textbf{Hopfield}~\citep{hopfield1982}: formalized associative memory as
+pattern completion via dot-product similarity---store patterns as attractors,
+retrieve by nearest match. CRI's cosine similarity matching is the same
+computation at a different abstraction level.
+
 \subsection{Training-Free External Memory}
 
 \begin{itemize}
@@ -415,6 +422,10 @@ Das, P. et~al. Larimar. \emph{ICML}, 2024. arXiv:2403.11901.
 \bibitem[Fountas et~al.(2024)]{fountas2024emllm}
 Fountas, Z. et~al. EM-LLM. arXiv:2407.09450, 2024.
 
+\bibitem[Hopfield(1982)]{hopfield1982}
+Hopfield, J.~J. Neural networks and physical systems with emergent collective
+computational abilities. \emph{PNAS}, 79(8):2554--2558, 1982.
+
 \bibitem[Jang et~al.(2024)]{jang2024camelot}
 Jang, J. et~al. CAMELoT. arXiv:2402.13449, 2024.