321372.fig.003
Figure 3: The curved energy landscape, covered by triangles, represents the state set of intractable computation. The non-Euclidian manifold is evolving by the contraction process itself toward the optimal path of maximal conduction (red arrows) corresponding to the solution. During the contraction the path with additional degrees of freedom (exemplified at a branching point) from the initial instance (top) toward the final acceptance (bottom) is shortening but remains nonintegrable (unpredictable) due to the dissipation. In contrast the paths (blue arrows) on the invariant Euclidean plane (grey) do not mold the landscape and thus they do not have to be followed to their ends but can be integrated (predicted).