Here, it is proposed that thinking on a different level is required to understand, what really triggers or removes this barrier. Just counting “dimensions” or “variables” is insufficient. The true intrinsic curse we are facing is the curse of instability. In fact, we argue below that instabilities (a) cause an increase in dimensionality, (b) substantially raise the analytical difficulty, and © are a strong indicator for multiscale dynamical complexity. Of course, it turns out that (a)–© are intimately related. Although we shall primarily illustrate the concepts with examples arising in mathematics and closely related disciplines, it will be shown that the abstract concept occurs, independently, across disciplines. In fact, we shall see that the curse of instability has already implicitly triggered the emergence of entirely new scientific disciplines. Furthermore, it may lead to formulate more concrete guiding principles to address the complexity challenges of the 21st century.
The curse of instability
Volume 20, Issue 6, pages 9–14, July/August 2015