A dimension is a line in which points represent numerical values. We think of physical dimensions such as height, width and length as having units of measure for length. We use units such as metres, feet, millimeters, inches, and so on. A box can be one metre high, two feet wide, and thirteen inches long. Usually, we measure the three dimensions using the same units of measure, such as 39 inches by 24 inches by 13 inches.
I like to consider the notion that there are an unlimited number of physical higher dimensional universes, of 4, 5, and n dimensions. These universes would measure their various lengths with inches, feet, metres and so on.
But there are non-physical entities that can also be thought of in linear form, such as honesty and dishonesty, which would be the two directions in the integrity dimension, or righteousness and unrighteousness, the two directions in the moral dimension. You can assign values to these directions by observing behavior. For instance, if a being steals $100, he is one-tenth as dishonest as a being who steals $1,000. You can place their degrees of travel in the integrity dimension based on the numeric dollar value of how much they've stolen.
Thus, you can picture non-physical characteristics in any number of dimensions. May I suggest that our universe has a continuous moral dimension, with all manner of values possible all the way from unrighteousness to righteousness? Perhaps in the moral dimension God is flat, and has only one point of perfect righteousness, and hell is flat, and has only one point of unrighteousness. It is only in our own universe, as far as we know, that we have freedom to go sliding back and forth in the moral dimension, which is as slippery as a lake of solid ice with an oil slick coating. Of our own free will, we never stay at the one point of righteousness.
People who are trying to stay righteous and slip toward the depths of unrighteousness can be spoken of as "backsliding."