Infidel wrote:I don't believe in a single dimension since dimensions are really just mathematical constructs to simplify equations, not a different place, rather it's the same place presented with a different perspective. Thus, if the math fails then the problem has been oversimplified and values for the missing dimensions should be plugged in. A line is just a plane with a width of zero.
Kind of true. But not entirely, I think.
Though you can embed a finite dimensional space into a infinite dimensional space the two constructs have different proprieties and I don't think it's always possible to make a rigorous mapping between the two (of course from the latter to the former).
Also a dimension is not a place. This is the most common misconception upon which all the sci-fi movies and novel are written: go to the fifth dimension
doesn't make sense to any mathematician and physicist. A dimension is a tool to make math works but it's not always the case, for instance in physics dimensions have a very "physical" meaning, and talking about a three dimensional space or a four dimensional one leads to very different solutions hence a very different physics. Also the signature of the metric is important: you can't have motion in 4D Euclidean space, to have motion you need the sign to be different in the time direction.
... why am I writing this? Were we not talking about weapons