On 't Hooft dimensional regularization in E(∞) space

The technique of dimensional regularization first developed in the context of Q.F.T, by 't Hooft and Veltmann is revisited from the E-(infinity) theory view point. It is concluded that this computational procedure is an "ontological" reflection of the physical reality of the underlying quantum geometry of micro space-time and not merely a cunning mathematical device for the avoidance of non-analyticity at a critical state, and extracting an approximate solution where other direct methods fail. (C) 2001 Elsevier Science Ltd. All rights reserved.