What I mean by euclidean space is just flat 3d space, with all 3 axes orthogonal to each other and all uniformly scaled - then even if the ant doesn't realise that it is upside down at the south pole, relative to the north pole, it is.
However, if the space is actually curved around, then I think the situation is different.
This is doing my head in!
I've come across a couple of websites now that have said that time is not the 4th dimension that Einstein refers to... I always thought that it is. The sites are saying that the 4th dimension is actually a spacial dimension.
E.g.
http://www.cs.unm.edu/~joel/NonEuclid/space.html
Quote:
|
Some people say that Time is the 4th dimension. This is, in a sense, true. However, time is not the "different direction" of which I was speaking. If we want to count time as a dimension, then we should say that we live in a four dimensional space-time that is curved into the 5th dimension! So where is this "different direction"?
|