Wednesday, May 30, 2007

Paper 4 - Dimensions 4

The fourth and so far latest installment in the Dimensions series.


Austin Milan
12/7/2006

The Sixth Dimension and String Theory

In my previous papers I fleshed out the idea of x-dimensional shapes, the fifth dimension, the concept of dimensions, etc. However, here I will expound on the sixth dimension. As I have mentioned before, the sixth dimension’s technical definition is as such: 6D is an infinite set of 5D shapes accumulating in a direction and the opposite of that direction that is different than all previous dimensions. Unpacking this definition will take a little time.

When we examine the step from 1D from 2D, we see that 2D is nothing more than 1D with another direction. That direction is width. 3D is nothing more than 2D extending in another direction, which is depth. Logically, then, we extend this until we determine that 6D is nothing more than 5D extending in another direction from 5D. If 4D is time, then 5D must be the set of all times, or all other universes which are completely separated from each other. Then, the 6th dimension is nothing more than all sets of realities extending in another completely different direction.

So, 4D is time, 5D is reality, and 6D is what I shall call the background. I call it as such because I hypothesize that there is no 7D, based upon the lacking of a precise embodiment of 6D. To make it more clear, to exist in 6D would mean one has the ability to go to any reality into any universe contained therein, and travel to any place and time within that universe. Since you can enter any reality in 6D, it would not make sense to exist in 7D; to be able to go to any background and then reality and so on.

Since now we have a distinct handle on exactly what the sixth dimension could be called, we can analyze an important theory out there today. This is string theory or M-theory, two distinct theories. M-theory is simply the summation or unification of the five different types of string theory, Type I, Type II-A, Type II-B, Heterotic-O, and Heterotic-E. In string theory, the final question of exactly what makes up matter is finally answered. Tiny filaments or strings of matter which vibrate incredibly fast are theorized to make up the smallest constituents of matter, being electrons, photons, quarks, gravitons, and so on. These strings are incredibly tiny, in fact, 10-20 times the length of a proton. The precise length is 1.6 * 10-35 meters.

One might ask how any of this applies. Well, in string theory, there are actually additional spatial dimensions, or different directions that one could travel in besides the x, y, and z axes. The problem is, these dimensions are “curled up” so to speak around space-time, so there is no way to access them. This is where the Planck length, what we were talking about up there, comes in. Each line on the “grid” of space-time is equal to the Planck length. Hence, these extra dimensions are tiny. Very tiny. There are approximately six extra space dimensions, plus time, and in my hypothesis, three more dimensions. This brings us to a grand total of thirteen dimensions to explore.

In M-theory, there is also the complex possibility that we are living within something called a “brane.” I will not attempt to explain this, for I do not completely understand it myself. The details, fortunately, are not important. what is important is that if we live in a brane, these extra dimensions cannot be explored by any means but gravity. Now, this does not seem to make any sense, but based upon M-theory, the electromagnetic forces do not fit the bill, so to speak. Hence, the only force left is gravity. With this exiting thought brings us to an important question. Can we explore the additional dimensions outside of space?

Yes and no. Hypothetically, should we theoretically determine the properties these extra dimensions should have and what influence they should exert upon these space-time dimensions we could probe them. Therein lies the problem, however. No viable theory I am aware of gives a proper explanation of what should happen. I will say that there is a distinct possibility that if these extra dimensions exist, that they could interact with ours, producing unexplainable results. Some mysterious circumstances and sightings could easily be explained in this way, but let’s not get carried away.

The advantage to being able to probe into other dimensions is quite terrifying, to say the least. History enthusiasts would rejoice to be able to peer into times and places years ago, but would that really be possible? The past contains infinite perspectives, hence it would be incredibly difficult to analyze a situation in any given circumstance because of the immensity of the perspectives available. For instance, take the Titanic. One would have to examine the Titanic from hundreds of thousands, possibly millions of angles and distances to really determine what went on that fateful night. Hardly a good way to spend time on doubtlessly expensive equipment.

Conversely, what if we looked into the future? What would happen? Well, undoubtedly, we don’t know. According to quantum mechanics, nothing. We would not be able to predict the motion of subatomic particles on their respective scales or even large molecules en masse. The Uncertainty principle, which states one cannot know both the precise velocity and location of a given object at any given time, forbids it. Why we would see nothing could either be because the future is not “written” according to quantum mechanics, or we would have to hold all perspectives at once, rendering the whole picture null and void.

This whole thing hinges on whether or not we could actually determine if these extra dimensions exist, what they would do to us, and figure out how to experiment with them. If that is possible, we don’t know if even then we would be able to utilize those dimensions to hop through space, time, universes, and whole sets of realities. The next paper I will write will be on what properties a fifth dimension could have, and if we could experiment with them.

In summation, we have looked at what the sixth dimension is and string theory’s affect on this theory. The intriguing possibility of peering into extra-dimensional terrain has been introduced and subsequently cast doubt upon. However, one thing is for certain. Whatever the outcome, it has the potential to destroy us or make us the dominant race of the universe, even all of that which is.



In Christ,
Austin
WWW

Tuesday, May 29, 2007

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

Monday, May 28, 2007

Paper 2 - Dimensions 2

See first paper for disclaimer.
This is the second paper which is to expound on some of the ideas presented in the first.
Please remember...
Some of these ideas are wrong.
I have better ones which I will put into later papers.



Austin Milan
11/12/2006

On the Implications of On Dimensions

To understand this paper, one must have read my previous paper, On Dimensions. In that paper I introduced a viewpoint on dimensions that is rather novel to the average layman. This paper is simple to examine some of the implications of my article. Specifically, I will discuss time travel and also travel into other universes. Hang tight, this might get sticky.

Time travel will always be a popular topic in novels, movies and the like, but how feasible is it really? At this point, we get into the classical grandfather conundrum. Say for instance that you decide for whatever reason to go back in time, assuming doing so is possible, and kill your grandfather. You decide to do this while he is a baby. Hence, you kill him. What happens to you? Before your grandfather married your grandmother, before they had whichever parent they had and that parent married his/her spouse and had you, your grandpa was dead. That means that you would cease to exist. This is a rather staggering thought.

Of course, that’s not too staggering compared to the next few sentences. So now you don’t exist, and never have. One implication is that you never went back in time to kill your grandfather. Therefore, your grandpa is alive, marries, has a kid, kid marries, has you. You go back in time to kill your grandpa. Sound familiar? This is an infinite loop, something which cannot exist. It just keeps going round and round forever. Obviously, this is not a viable option.

This is rather the traditional view of time travel. If any changes are made in the past, they could affect the future in huge ways, potentially rendering what you did undone or differently, creating an infinite loop again. However, in light of Dimensions, this cannot happen in the first place. I had said that one cannot achieve 4D from 3D. This means that a 3D object has no time. There is no way to move along the a axis of time when you are trapped within 3D. So, the only way to really access a dimension is to access the one after it and then exist in the one after it to experience the one before it.

Let me put it this way. In 3D, you could theoretically go to any location in 3D by moving along the x y or z axes. However, how will you do that if you have no time? You cannot access the x y z axes without being in 4D. If we extend this logically, one would have to exist in 5D to move back and forth on the a axis. Hence, we cannot truly experience 4D unless we exist in 5D. This is why time travel is impossible within the bounds of Dimensions.

If 5D really exists, there are other universes. To illustrate this, I will use a handy Paint painting.



These are the physical three dimensions. If we extend this to view a representation of the a axis, we see something surprising.



This is 4D. You must have two directions to travel, based upon the definition. However, if we continue this to represent the b axis, or 5D, again we see something surprising.

This means nothing, you say, because time travels in one direction, and two if you exist in 5D! This is ridiculous! However, I would contend with this blatancy. If you examine the graph, you might begin to understand that this universe is a location on the b axis. We could say that our universe’s position on the b axis is 0. Now, we cannot move on the b axis, because we do not exist in 5D. However, we are constantly moving in one direction on the a axis. If we were to move on the b axis, we would be in another universe! This is the foundation of 5D!

Now, in Dimensions I had said that we don’t know what the 6th dimension is, but that is not true and true at the same time. We know what it is, definition-wise, but we have no conception what it would be like. If we were to add a c axis into all of this, we would see that if we move in the c axis, we would be in a different reality, with different universes, different times, etc.

Now, I contend with universe travel because we do not exist in 5D. We exist in 4D. We would actually have to exist in 6D to be able to access the different universes presented. This is the crux of the issue.


In Christ,
Austin
WWW

Paper 1 - Dimensions 1

This is the first installment in the papers blog.
Please keep in mind that this and the next four three papers were written with a specific person in mind, so please don't be offended at the tone used.
Some of the language may be considered demeaning to people who consider themselves above such speech.
Deal with it.
All later papers have a more professional tone.



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.



Questions?
Comments?
Sarcastic remarks?

In Christ,
Austin
WWW

First things first

The purpose of this blog is simple.
I need a place where I can share my whimsical ideas about anything and everything in paper form.
One of my life's goals is to "Write at least 150 voluntary papers" and this is my outlet for them.
If you disagree with anything I write, please write your disagreement in paper form at least somewhat similar to mine, ie paragraph form, attempted good grammar, etc.
If you have any revisions please the the same.
I desire my ideas to be refined so that they can contend in the free exchange thereof.

So welcome to The Blog of Papers!

In Christ,
Austin
WWW