"Process Theology. An approach to theology inspired by the philosophical thought of Alfred North Whitehead and Charles Hartshorne, with Shubert Ogden as one of its main proponents. Process theology rejects the classical picture of God as immutable [unchanging] and transcendent [beyond his creation] in favor of a God who is partly evolving with and in relation to the created world. The problem of evil looks different in such a context. Since process theologians do not necessarily think of the natural order as created out of nothing ex nihilo], evil may be partly due to the recalcitrant nature of that order, in which God works pursuasively along with his creatures for the good. Process theology should be distinguished from open theism, which questions the classical doctrine of divine foreknowledge, though there are points of similarity between the two theologies" (C. Stephen Evans, Pocket Dictionary of Apologetics & Philosophy of Religion [IVP, 2002], pp. 96-97).
In short, process theology is an early 20th-century Protestant philosophical invention that should be avoided by any faithful Catholic. Interesting to think about, though.
Blessings,
Don
+T+