ABSTRACT
The regraduation theorem applies only to one-parameter groups. If our transformations depend on more than parameter – if they depend on the three dimensions of space instead of only the one dimension of time – we cannot be sure of securing simple additivity merely by regraduating our measures. Any manifold that has more than one dimension may have an intrinsic metric of its own that cannot be transformed away by a simple regraduation – a fact of considerable importance in relativity theory. Time is a dimension in which events occur, not a characteristic of events. Only so can events at different dates be qualitatively identical; and therefore only if time has no distinguishing character can we apply the maxim "Same cause, same effect" which underlies all our activity as agents and all our enquiry as scientists.
