# Can we consider the field of futures probabilities as a chaotic system ?

We illustrate the field of futures probabilities using the concept of the “cone of plausibility”:
https://studentsatthecenterhub.org/resource/tool-exploring-plausible-probable-possible-preferred-futures/

Suppose that for any time value tn in this projected cone we had a value y1 and a value y2 to define the upper and the lower limits of plausibility — or extremum of the bidimensional cone slice for the time value tn — see the graph: https://www.aam-us.org/2011/09/16/futurist-friday-exploring-the-cone-of-plausibility/

Also, we can define a mean for each value of time tn:
M = (y1+y2)/2
Which would expressed on the graphs by the default vector of time.

1. Having defined a bounded space, could we consider  the field of future probabilities — included between y1 and y2 in the cone of plausibility at tn and observable from t0 — as a chaotic system ?
2. If it can be considered as so, would it be a linear or a nonlinear system ?
3. If it can be considered as so, could we call M for the time value tn an attractor ? A global attractor ? Something else ?
4. Finally, if it can be considered as so and if you had to express your mathematician's point of view, would such a system have any interest, be practical, or useful ?