In our two-fluid experiment, where a water-based fluid tries to push an oil-based fluid out of the way across a boundary, we can describe four basic relationships. The first three relationships require a certain amount of interfacial tension at the boundary to carry interactive information from one fluid to another. The fourth and last relationship has little or no tension on the boundary. Molecular diffusion occurs and therefore we call it a degraded relationship, where, because of the static at the boundary, little information gets through.
The first boundary type represents a stable relationship occurring at a location of high curvature. The magnitude of curvature damps out any chance of a changing or growing relationship between the two fluids (Might this be an analog to locality behavior?).
The second kind of relationship occurs at very low curvature and is sensitive to any small and short-lived relationships or momentum changes at the boundary (might this be an analog to non-locality behavior?).
The third kind of relationship occurs when the changes at the boundary involve both of the above, resulting in a complex boundary with complex shape and functionality (“counting” time and “remembering” shape). This complex boundary exhibits a processing or time delay between action and reaction (might this form a preface to awareness?).
In our experiment, a droplet of water expands into an oil, the first type of relationship occurs and is quickly damped out. Then a complex relationship evolves out of a low curvature state sensitive to random momentum changes. The resulting complex boundary exhibits a delay between action and reaction of the fluids.
Lastly, a state of high curvature is reached where any further changes or relationships between the systems are damped out (In fluid mechanics this is referred to as steady state where random perturbations do not influence changes on the boundary and all mathematical terms varying with time go to zero).
If the two fluids are miscible, in time, the boundary and relationship disappears, degrades with diffusion.