Date: Mon, 9 Aug 2000 18:42:05 +0200 (MET DST)

From: Graham Cleverley

A less metyphysical answer is that we normally assume we live in a Euclidean space in which distance depends on the squares of the difference on each axes v. Pythagoras and trigonometry.

Einstein's Special Theory also assumed a quasi-Euclidean space, even though the time dimension has a negative coefficient - ^{2} + y^{2} + z^{2} - ct^{2})

You can get involved with spaces in which the square doesn't appear, but not many of us do that. Not often at least.