Quote:
Originally Posted by freebeard
The three-dimensional Cartesian Coordinate system is a misapprehension of a fundamentally tetrahedral reality. It's all downhill from there.
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I disagree. Because of the unique constraints on our movement in t, a vector (x,y,z,t) fails the additive inverse property of vector spaces and any set W = {x(t) ,y(t), z(t), t} is
not a subspace, where a set U = {x(t), y(t), z(t)} is. So, while it may be true that reality is fundamentally a four-dimensional space, it is not very useful to us to represent it that way--and we've accomplished everything we have in the fields of engineering and science by doing just that.