As is well known, it was Alfred North Whitehead who, almost a century ago, dealt with the notion of “process” from a theoretical point of view. Recently, there have been attempts to formalize Whitehead’s notion of ‘process’ into the algebraic theory of categories, by Michael Heather and Nick Rossiter (http://computing.unn.ac.uk/staff/cgnr1/ ).

But, I do not know either, whether these attempts had a significant impact on recent public and academic discourse.

Whitehead ideas, though, had a considerable influence on philosophy and theology as well (http://en.wikipedia.org/wiki/Process_philosophy) , (http://en.wikipedia.org/wiki/Process_theology).