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saltydog
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quantumcarl said:Is this study a branch of physics?!
I think it's a consortium of several fields with emphasis on Mathematics.
There are many who really don't want to believe that catastrophe is the catylist to evolution and change. They take the long slow approach where, over time, genes are modified by incremental behaviour and environemental modifications.
Gradual change of course is part of evolution: Punctuated Equilibrium represents periods of relative statis "punctuated" by periods of rapid change. To me, that is suspiciously consistent with Catastophe. Consider the cubic differential equation which exhibits the plot below. This is the cusp catastrophe. Consider some dynamic process described by following the the surface of the top fold towards the edge. The dynamics is relatively smooth until it reaches the edge, the bifurcation point. At this point, it abruptly "falls" off the edge onto the bottom fold. A catastrophe has occurred and often the change causes qualitatively different dynamics. I image all of life 550 or so million years ago on the top fold of such a cusp. Something happen "pushing" the dynamics across the bifurcation point. Disparate animal clans emerged on the bottom fold.
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