As Rev. John Polkinghorne, the late professor of mathematical physics and priest, wrote: “The idea of a ready-made world was replaced by that of a creation so endowed by its Creator with potentiality that creatures could be allowed ‘to make themselves’ (Charles Kingsley) through the explorations of evolutionary process. The history of the world is to be understood as an unfolding act of continuous creation. Such a creation is a great good, but it has an inescapable shadow side for evolution results not only in great fertility but also in blind alleys and extinctions. Genetic mutation produces both new life forms and also malignancy, and one cannot have the one without the other. Theology can find here some help from science as it wrestles with the perplexities of natural evil and suffering.” (cf. Polkinghorne, The University of Edinburgh, 2009). Notably several scholars have come up with different arguments to criticize Darwin’s evolution theory, for instance Ernst Cassirer, Vern Poythress with Interpreting Eden, and Jaroslav Flegr in his book Frozen evolution, that is not the way it is, mr Darwin. The present review is intended to bring more arguments, in particular from recent development of nonlinear dynamics attributed to low-temperature physics and its connection to cosmology.