Speaking of dimensionality, I’ve just realized a rather interesting point. I previously described an object as an n dimensional surface distributed through n+1 dimensional space. For example, a circle is a 1D surface distributed through 2D space.
However, it just occurred to me that to fully observe a circle in its 2D space, it must be viewed from a 3D perspective. In other words, if you draw a circle on a piece of paper (the 2D space) and then actually want to see the circle, you must look at it from above (the 3D space). If you could somehow inhabit the paper with the circle, all you would see of it would be a line that was closest to you in the middle and curved away from you towards either end.
You can see how this extrapolates upwards by looking at a ball. We never actually see the entire ball. We only see a circle that is closest to us in the middle and curves away around the edges. We can deduce a sphere by turning the ball around and seeing the other side, but we never observe the whole thing at once.
This brings up an intersting notion of a 4D perspective. From this hypothetical vantage, one would actually be able to observe the entirety of the sphere simultaneously. This would be due to the fact that this point of view would be able to see it upon a 3D surface distributed through 4D space.
This whole thing creates a description of dimension as a channel for the transmission of information. But is it the only medium? Perhaps these are channels that we can see and understand because they are within our field of dimensional perspective. Would other channels from higher dimensions be essentially invisible to us and the information from them appear to simply pop in from nowhere? Perhaps something akin to this could be used to build a model for experiences such as intuition, ghosts, or channeling.
