First sketches of a reflexive coherence measure

The need to distinguish reflexive coherence from mere integration suggests the introduction of a quantitative descriptor capable of capturing this difference.

Initial attempts focused on shared information between global system states and internal representations. However, these approaches proved insufficient: high informational alignment can occur without any meaningful reflexive constraint.

This led us to consider directional and bidirectional causal influence as a necessary component. Reflexivity appears to require not only that a system models aspects of itself, but that such modelling exerts a causally effective influence on the system’s subsequent global states.

At this stage, any proposed measure remains provisional. The goal is not to assign a score, but to identify an order parameter capable of signalling transitions between non-reflexive and reflexive regimes in complex informational systems.