[dleviwing]

Originally Posted by jim barlow

One may think of time as a color for this argument in which case "dimension" is not the operative word.
Dimension itself doesn't have dimension. It is dimension. Dimension is a name like Steve. Once you find Steve you'll find that Steve doesn't have anymore Steve-s.
Language can be fruitfully examined sometimes for these paradoxes.

Jim;
It may be more fruitful to think of "dimension" as it pertain to physics terminology.

Dimension – Any term that can be defined as a quantitative measurement resulting in imperial data.

If you resolve yourself to maintain this strict interpretation then you will realize that all the multidimensional phenomena are simple measurements of some property, function, or interaction of the fundamental entities of the universe; Just as "Many-worlds" represents systems comprised of many dimensions.
For example: An atom is a world system with three spatial dimensions, one time dimension (due to motion), a dimension of mass, a dimension of charge and so on.

These are trade secrets of the theoretical physicist, so keep them to yourself.