That's a cool idea.
I've always favored the notion that time is a combination of more than one dimension. However, I'm content to know that time itself will tell what the correct answer is. lol
I agree that time is multi-dimentional. Migrane actually hits is in a couple of posts above this one.
Since matter is multi-dimentional, then its by-products (time) are also multi-dimentional.
Migrane also beat me to an interesting mind exercise. If you are to believe that space is non-material (just 'distance' between stuff), without matter would time exist? To expand on this, knowing time is relative to position, if we just pop you into this nothingness, without any other matter(and therefore no relative position) would you age?