ABSTRACT

We typically think of space and time as three dimensions plus one. Mathematicians tell us that each dimension may be continuously subdivided. But they also tell us that we may construct model universes with rather different properties. We may have other structures which may not be continuously sub-divided. And, to complicate matters, we may construct worlds with whatever dimensionality we please. So, can we really chop ‘real’ space and time up as small as we like?