by RQ » Fri Feb 13, 2004 2:15 am
It is important to see that we have two definitions of different dimensions interacting. First there is an actual higher dimensional object interacting with a lower dimensional object in its own or the other or another dimensional setting. Then we have a higher dimensional object appear in its lower dimensional form (sphere to circle) and have the two interact. Of course the former is not possible, but the latter we must further investigate. We have several other possibilities: a lower dimensional universe with 2D people incorporated in our universe along with our 2D incorporations, with perhaps parallel universes or not, or 2D in the 4th or higher dimension parallel to our own world (just like a skew line). I suppose it would be possible. I suppose that we could prove this if objects appeared out of nowhere and disappeared. Otherwise it's just another proof of independency of the dimensions that forces on higher dimensions don't affect incorporated dimensional worlds, saying they exist if we exist in tetronian space to or not to a tetronian life form. In fact I should just summarize all this nonsense. If higher dimensions are to be able to interact with lower ones, it would have to be in its lower dimensional self at the point of intersection. Now this arises the question of whether there are just the other two dimensions incorporated in our 3 dimensional world (which also proves that 2 dimensional people can exist contrary to my former belief that they would have no volume and add up to nil and be that way) or there are also 2D people, or they are in a parallel universe in the 4th or higher dimension (also makes them incorporated, since the dimensions will all be within the highest one). If it were case A where there was just our 2D infinite sliced incorporations, then we should realize that there would be no effects since the 2D moves along in the parallel dimension or one of the two of its own and if that had any effect, matter and anything with a 3D shape would be unstable, since a pack of those slices might turn around and jump off because of the forces acting on it having effect on a lower dimensional scale. So case A fails. Now if case B was also an incorporation, then the same would happen. This is also proven by why matter cannot exist within itself. I guess that we are fair to say that 3D empty space would also be 2D empty space (ignoring any particle and antiparticle creations). Now if a 3D object went through there nothing would happen. If the 2D slice of 3D empty space, was entered by a sphere, where a circle would appear, then this would be violated except for the fact that empty space isn't matter, but it is still the second dimension, and the sphere a 3D object entering it and making the circle, where nothing should have happened according to our suggestion that 3D cannot affect 2D. This can only mean that the 2D of empty space is a kind of empty that you would think of emptiness of 0 volume such as 2D.