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On Sun, 13 Aug 2000, I wrote:
> We do not know, and do not care, whether our universe is
> embedded in a higher-dimensional space.
Ahh! One small correction:
A lot of people care a whole bunch.
In the Randall-Sundrum model, there may be extra large-dimensions
in which gravity, but nothing else, acts. Gravity at short distance is
modified; the scale of the modification varies inversely as the number of
extra dimensions. Two extra dimensions would be detectable at distances
of the order of a millimeter. Experiments are in progress at the U. of
Washington, and probably elsewhere.