Quote:
Originally Posted by NotPrinceHamlet
So that website I linked to that asserts is just plain wrong?
It looks like the author is trying to get a grip on the curve by basically stating that the curve exists into the fourth dimension and the projection of the four dimensional space onto the 3rd dimension is the flat space we all know. I think that this is incorrect (happy to be shown I'm wrong though - because its nice and easy to understand!)
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The trouble with making time a spatial dimension (or like adding a fourth axis), is that a particle does not have the same degree of freedom in moving in the tx, ty, tz planes as in the spatial planes without the possibility of violating properties such as cause and effect, exceeding the speed of light etc.
The geometrical interpretation of space time is given by Minkowski diagrams. There is a lot of stuff on the Internet about this.
Steven