Allow me to speculate for a moment. To go from zero dimensions (point) to one dimension, you duplicate a zero dimension, then connect the dots. To go from one dimension (line) to two dimensions (plane) you duplicate a line and connect the parallel lines If you want to go from two to three, you draw two planes (parallel) and connect the dots. three to four dimensions, draw two cubes or any 3-d object with vertices and connect the dots (vertices) you can keep on going. All you do is draw two of the same dimension object and then connect all of the vertices in a direction perpendicular to them all. So what does this mean? Well, here's my idea. If you draw a four dimensional object as I described it, it will look like a box (or whatever 3-d image you use) that has been translated in one dimension. Meaning: the three dimensional object coexists at all points in that translation? integrate the volume times the velocity (m3)*(m/s) over the time interval and you get (m4)*(ln t) I know there's something wrong with that, but I can't help but feel that there's something right with it also. Simply from a geometric viewpoint, it "seems" that motion is necessary to achieve higher dimensions. let me try another idea: the integral of volume times dt which gives (m3)s in that case, time really would be the fourth dimension a way of thinking about in this respect would be that an object of constant volume is taking up space and time and the fourth dimension accounts for this. Let me pose one more theory: Let's pretend you are driving in a car. Let's say there are two coordinate axis...one that is fixed at the steering wheel and another one is fixed outside of the car. Once you start to drive, all objects in the car stay at a fixed radius from the coordinate axis in the car. However, you are moving relative to the coordinate axis outside of the car. Since there are three dimensions outside of the car which are independent of the three dimensions in the car, are there not six dimensions. This is my weakest idea and this one is more of a "degrees of freedom" idea if you ask me, but an idea nonetheless.

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Rob@jhu.edu