asbestosman wrote:I can tell you this--negative and imaginary frequencies are a nice mathematical convenience for engineering. Given that, I suppose that maybe negative dimensions would have meaning in some context. In fact, if I understand dimension properly, doublling the sides of a negative square (dimension = -2) would give you a negative square that's 1/4 as big as before. It's sort of the opposite of a normal square (dimension = 2) where doubling each side would give you a figure 4 times as big as before.
Hmm - negative dimensions. Fascinating idea!
It's true - I've only ever heard of 'higher' dimensions - never 'lower' ones.
In fact, if I understand dimension properly, doublling the sides of a negative square (dimension = -2) would give you a negative square that's 1/4 as big as before.
Can you talk through the maths involved there? I don't get what you're saying...