Quantitative correspondence between collective field theory and behavioral persistence

Establish whether the collective relaxation spectrum, memory kernel, self-energy, effective cognitive forgetting scale, and behavioral persistence scale of the same trained Cognitive Field Network quantitatively agree, thereby connecting internal collective dynamics to observable cognitive behavior.

Background

The paper interprets Cognitive Field Network behavior using Cognitive Field Theory, including memory dressing, infrared spectral reorganization, and a cognitive forgetting scale. However, the measured spectral proxies and behavioral retention curves are not yet quantitatively linked within the same trained models. The open problem is to measure the relevant internal dynamical quantities and behavioral persistence independently and test whether they satisfy the predicted correspondence.

References

The present experiments, however, do not yet establish the full quantitative field-theoretic correspondence. In particular, the field-theoretic self-energy, cognitive forgetting scale, and behavioral persistence scale have not yet been independently measured and quantitatively matched within the same trained states.

— Beyond Episodic AI: Cognitive Field Networks for Biologically Inspired Persistent Cognition  (2609.16752 - Chae, 15 Sep 2026) in Section V, Discussion