Alright, so this is my first paper on Dimensions.
Questions?
Post a comment.
Austin Milan
11/11/2006
On Dimensions
Dimensions have always been a topic of particular fascination for mankind. Exploring different dimensions seems quite alluring, and is a popular topic for science fiction novels and movies. However, as we know what the fourth dimension is, what is the fifth? And sixth? This obviously is a hard question to answer.
The 0th dimension, or 0D, is a point. This is one of the undefined terms in geometry, for the point has no width, depth, or height. A point is a very hard thing to envision, but the concept is easier to grasp. 0D does not exist in this universe, and in no universe in this reality could it exist. 0D has no time, as we will see later. 0D is an impossibility in application, and only in theory does it exist.
The 1st dimension, or 1D, is not the 0D squared, as many think. If we square 0, we get zero. Rather, 1D is the proper place to start if one wishes to envision all other dimensions. To put it in one way, 1D is an infinite set of points accumulating in one direction and the opposite direction. Or, 1D could be described as a line. This means it has infinite length. Of course, these terms are arbitrary, because 1D simply stretches in one direction. The concept of 1D as an infinite set of points is hard to grasp, because a point has no dimensions. So, it would be better to say 1D is a line.
2D, or the second dimension, is geometrically described as a plane. Here we can define it as an infinite set of 1D shapes consecutively placed so as to allow for a second direction that one may follow. This rather wordy definition is all to say that a 2D shape is a bunch of 1D shapes put next to each other. It is infinite for the same reason 1D is an infinite set of points. For a 1D object to move up to 2D, it must somehow go in another direction. This is achieved by adding on more 1D shapes to that 1D shape. Don’t get confused here, all I am saying is that 2D is a plane.
Three dimensions is much easier to grasp, because everything around us is much closer to 3D that to 2D or 1D. 3D can be easily described as space. One has three basic directions to go in. To put it mathematically, we have now added a new axis. Before, there was one direction to go in, x. Once we moved up to 2D, we gained a new direction, y. You might be saying now that I just described a graph to you. That’s exactly what I did. However, it gets more complex when we add a third dimension. In addition to x and y, we also have z. Moving along any combination of these axes we can go wherever we want within the confines of space.
At this point, you might remind me that that’s wrong, that you could move in a different direction than x, y, or z. However any direction that you move can be described by using those three axes. We could describe your position in space using ordered pairs, or in this case, ordered triads. This is not feasible because space, as far as we know, is either infinite or expanding at the speed of light. Of course, whether or not either is true, there are an infinite number of points you could be in at any given moment. This conclusion comes about by realizing that a point has no dimensions. It does not exist in this reality, or any reality. If someone were to invent such a system for figuring out positions in space, they would not be able to use a point, for the job would be quite hard, indeed impossible. I digress.
After the concept of 3D is grasped, which is not hard, we move on to 4D. The fourth dimension is time. Obviously, since we can measure any direction in space by using x y and z, we can’t add another direction in physical space. This is the point where the wordy definitions come in handy. Using the same language as before, the fourth dimension is an infinite set of three dimensional shapes accumulating in a different direction than 1, 2, or 3D. If you think about it, you can divide the units of time forever. You can always find a smaller unit of time to measure. This is why when we see motion, it looks so smooth. In an animation sense, there are an infinite amount of frames in every second. This is flawless animation.
That’s all fine and dandy, but what is that fourth direction? Well, the answer to such a question is very difficult, as it is very hard to describe time. However, going back to animation, think of a timeline. Sequences of 3D shapes are set next to each other, simulating time. If that doesn’t help, think really hard on it or give me a call.
A side note on dimensions. You cannot have one dimension without the dimension before it. This is why it is ideal to start at 1D. You cannot have 2D without 1D. If you had a 2D shape without 1D shapes, you would have 1D shapes. If you exclude the dimension before a given dimension, the given dimension will collapse into whatever dimension is before it. Before I had stated that it was impossible for 0D to exist on it’s own. I will extend that to say that it would be impossible in any universe within this reality to have anything less than four dimensions. Obviously, we have time here. As I will show later, all other universes in this reality also have time. We cannot have 4D without also having all the other dimensions before it. If this is confusing, again, think on it or call me. Or something. I will try to make it less unwieldy later on.
So, we have all the dimensions through 4D. Oh, that’s right, I promised to say what the 5th dimension is. Well, if we use my definition again, it would have to be an infinite set of 4D shapes accumulating in a different direction than all previous dimensions. This is the point where you say, “Huh? There is no other direction besides time!” Oh contraire, because theoretically there is. For these next sections we will assume that there is a 5D. 5D would have to be another universe. Take a second and think about it. I strongly encourage you to try to figure that one out on your own before moving on. Once you get this, the 6th dimension is a logical extension of 5D.
If, per chance, you did not get the above concept, please read this paragraph. However, if you understand 5D, if a little roughly, I still would suggest you read this, because it gives an important concept for visualizing 6D. I digress once more. There is a recurring theme throughout this entire discussion. Each higher dimension is outside of the previous one. Think about it. Moving from 1D to 2D, we had to add something. We could not achieve 2D from within 1D. 2D is completely outside of 1D. Same with 2D to 3D. This is especially easy to see from 3D to 4D. With just 3D, you have just 3D. To illustrate, we will use Paint.
As you can clearly see, this is an illustration of a 3D shape, commonly known as a cube. Sit there and watch this shape. Keep watching. Come one, you can do it. Has it changed? I sure hope the answer is no, because if it isn’t something is wrong with your computer. This 3D shape will sit there for however long you let it, and even if you let it not sit there, it still would. The reason is it has no 4D. It cannot change because it is “outside” of time. If you had a purely 3D shape, you could not move it, and it would not move. It would never change.
This is a crucial step in understanding the step from 4D to 5D and beyond. You cannot achieve 4D within 3D. Time is completely outside of 3D. Now, 5D is completely outside of 4D, which means it cannot be a part of this universe. Everything in this universe is 4D, in all technicality. Hence, 5D is outside of this universe. 5D is all the universes combined in one set. This set can conveniently be called Reality. This is all assuming of course that there is a 5D.
I would like to interject and answer a few questions you might have. Right now, I am defining a universe as a 4D shape. This means that if there are other universes, they all have the same dimensions as we do. Outside of this, there is reality, which is simply all of the universes combined in a set. This means that if there are other universes, reality is the set of all the universes that run just like this one. A different universe would have to have all the same physical rules as this one in order to be in this reality. Just a quick side note that needed interjection.
If you have understood everything up until now, the next statement won’t be too much of a surprise. 6D is what is outside of all realities. Now hold your horses, before you start bombarding me with questions, realize that in order for 6D to exist, there has to actually be a 5D. And even if there is, we don’t know if there would be something outside of all realities to be there, so to speak. This is where we step completely into the world of ideas. What could be outside of reality? All reality? If we go into the world of Genesis, we see that God created the world. God is infinite, hence he was there before creation. Using the language we have been using, 6D is an infinite set of 5D shapes accumulating in a different direction than all previous dimensions. Again, this is confusing, especially now. In order for 6D to exist, there would have to be different realities than our own, and whatever 6D is, it would have to be completely outside of 5D. 6D would then be God. There would be nothing that we know of as of yet that could or would be outside of all realities other than God.
Before you start calling me in great anger, do not take it that I am saying God is made up of realities. This is all purely theoretical. Logically, God would have to exist outside of all dimensions, which discounts Him being the 6th dimension. So if God is not the 6th dimension, what is? The simple answer is that I don’t know. The complicated answer is that many scientists and physicists have complication theories about it all that go straight over anyone’s head who doesn’t have a thorough understanding of advance mathematics. For now, we will say that 6D is just unknown.
If your head is spinning right now, don’t worry. That’s the state I live my life in. But in all seriousness, this little discussion about 6D and 5D doesn’t do anyone any good unless there is a 5D. For all we know, God has only created one universe. This is definitely where it gets the most confusing. All of the implications of this are immense. If we are the only universe, then everything is relatively simple. However, if there are multiple universes, then there is a 5D. This leads us to the inevitable question of “what is the 6th dimension?” As I have said, we don’t know. However, assuming there were more than one universe, how is it that they don’t collide? For all we know, this universe is infinitely big, or expanding out at the speed of light. What keeps all the universes from colliding? This question is one of the biggest hardships of assuming there are multiple universes.
Throughout this paper, I have tried to give the concept of what the 5th and 6th dimensions are. If you happen to come up with the 6th dimension, let me know. As I have said, many people have ideas about what the 5th and 6th dimensions are. I would encourage you to research them yourself to try and figure it out. If you do find out, call me.
Austin