Paper 3 - Dimensions 3

At this point my ideas were a little more fully formed.


Austin Milan
11/13/2006

On Shapes in 4D and Beyond

Visualization of 4D shapes and 5D shapes is possible, but difficult. However, actually seeing and comprehending 4 and 5D shapes and beyond is absolutely impossible, due to the fact that we live in the 4D. To grasp this paper better, one is advised to have read my previous paper, On Dimensions. My second paper on this subject, On the Implications of On Dimensions, is not required reading, as it explores concepts that have already been presented in Dimensions. I would suggest Implications be read, as it presents some of the concepts in Dimensions in a rather different manner.

First off, how do we measure sides? This seems like a simple enough thing to do, as all one must do is count them. But what are sides? Well, for a 1D object, there are no sides. It is an open figure. Sides come into play when we reach a 2D objects. The sides then are counted based upon the number of lines make up the object.



Obviously, this is a square, a 4-sided figure. We come to that conclusion based upon the fact the it is made up of four lines. To put it in other words, we measure 2D sides by counting the constituent 1D shapes.

To take this idea a step further, we count 3D sides by the constituent 2D shapes. If you take a cube, the sides are measured by counting each square that constitutes the cube. In this case, the number of sides is 6. In other words, a cube is made up of 6 2D objects known as squares.

Logically, if we expand this counting idea, a 4D object’s sides would be measured by the constituent 3D objects. 1 This is why a 4D object is impossible to see. We don’t see 4D objects, because our minds could not take it. However, we can see 3D objects. Theoretically, we cannot see a x-dimensioned object unless we are in x+1 dimension. So, again theoretically, if we existed in 3D, we would not be able to comprehend 3D objects, only the 2D objects that constitute the world of 3D. Of course, that point is moot because there would be no time in a 3D or below world.

The same principle can be used to visualize 5D objects. To put it in an interesting way, 5D objects would be made of universes, the 5th dimension being Reality, or an infinite set of 4D objects stretching in a different direction and the opposite to that direction than all previous dimensions. Obviously, since we do not exist in 6D, we could not comprehend a 5D object, based upon the principle detailed before.

But what use is it to know what a 4D and beyond shape would be like? Well, if we were to examine the properties of each dimension, we should be able to tell what properties the constituent shapes would have. For a 4D shape, it would have sides that are determined by 3D objects. It would represent a series of 3D objects submitted to time. Now, could a 4D object go back in time? The answer is rather unsure.

It really gets interesting when we examine a 5D object. Would a 5D object have time? Of course. Even though it is completely outside of all previous dimensions, a 5D object has access to time and space. God is completely outside of all dimensions, but the Bible clearly demonstrates that he has access to time and space. This also implies that a 5D object could move either direction on the a axis, hence traveling back and forth in time. Since the 5D objects is outside of time, it would not affect time necessarily, so the grandfather effect does not come into play, and everyone is happy.

A 6D object would have even more dexterity than a 5D object, because it could move freely on the b axis, hence traveling to different universes, and yet it would also have access to the a axis, meaning that it could travel through time in any universe in this reality that it pleases. If man had access to the 5th and 6th dimensions, we would have unprecedented power, and often that power would be bad. We could wipe ourselves out even easier. But, if we existed somehow in 6D, we could travel to different universes. One would think that we could then inhabit other universes. The answer to that interesting conclusion is no. We could not. If the 5th and 6th dimensions exist, and 5D and 6D objects really could do what I am theorizing, then whatever inhabits the dimensions below 5 and 6D would not be able to comprehend these objects. So we could have 5D and 6D objects floating ‘round and not even know it.
In this paper, we have examined just some of the shapes that would exist in higher dimensions. With the advent of superstring theory and M-theory, there could be up to eleven dimensions, ten physical and one time. The exciting thing is that “my” theory is still applicable. We could add a 12th dimension, which would be like the 5th dimension detailed here. We could add a 13th dimension, which would be exactly like the 6th dimension as spoken of here. Only time will tell what dimensions we will discover