The Nature Of Equality And The Displacement Principle

Possibly the single most important symbol that people use is the equal sign, "=". Let's have a look at the nature of equality, when things are not exactly the same but are considered as equal. All of mathematics and physics revolves around equal signs, what is equal to what. Yet, how rarely we ponder what equality really means.

There is a geometric theorem which is the basis of euclidean geometry, but which cannot actually be proven. However, this theorem is considered to be so self-evident that it really does not need to actually be proven, especially since our system of euclidean geometry has been working just fine for about 3,000 years. The reason that there must be at least one basic theorem that cannot be proven is that we prove theorems by referring to other previously established theorems, so that must leave at least one with no others to refer to.

The theorem is that when there is a straight line, and a point outside the line, there is one, and only one, line that can be drawn through the point which will be parallel to the given line.

Similarly, I have developed a principle that, while I cannot conclusively prove it, seems to me to also be so self-evident that it really does not require proof. Here it is: "Whenever we have an equation or a formula of any kind, the two sides of the equation must, at some level, be merely different manifestations of the same thing".

If A = B, then clearly A and B cannot be the same thing. If they were, then it would make no sense to assign them different names. But yet, stop and think, how can two things be equivalent unless they are somehow the same thing? This also shines a light on how we see things, we must have an incomplete view of reality.

My conclusion is that two things cannot possibly be equal unless they are somehow the same thing and the reason that we see them as equal, but not the same thing, is our incomplete view of reality.

Years ago, there used to be puppet theaters. Of course everyone, except young children, knew that the puppets were not real. There were people behind the curtain operating the puppets. Whenever we see two entities as equal, but not the same thing, we can be sure that if we could somehow "peek behind the curtain" of reality, we could see how they were just different manifestations of the same thing.

Let's consider some formulae involving very basic physics. Anyone who has ever studied physics is familiar with the relationships between velocity, distance and, time when we have a moving object.

velocity = distance/time

distance = velocity x time

time = distance/velocity.

Even though there is a relationship between them, from our point of view time, distance and, velocity are quite different things. Velocity is a function of distance and time. But yet, how can things like distance and time be on opposite sides of a formula unless they are somehow different manifestations of the same thing? The only conclusion that I can come to is that there must be a level of reality somewhere, that we cannot see, where distance and time are the same thing.

How about my version of string theory? In my Theory Of Stationary Space, time is only something that we perceive. In actual reality there are four dimensions of space, one of which we experience as time rather than space. So, time and space really are the same thing. That is why the two end up on opposite sides of formulae and equations, even though they do not appear to us, in our everyday reality, to be the same thing.

Our nature changes one of the dimensions of space into time. This causes us to see things as different which are, in fact, the same. A = B, the two must be different things or we would not assign them different names. But yet, our observations of reality tell us that they are equal and the equal sign is a manifestation of our distorted view.

Mathematical equations are obvious to us as joining merely different manifestations of the same thing. 6 = 2 x 3 is such an equation. One group of six is equivalent to two groups of three. But this is because mathematics is a system created by us and built around how we perceive reality, while physics is our observations of the actual workings of reality.

Equality is really only an illusion of our perspective on reality. We perceive equality when we see two branches of the same tree, without seeing the rest of the tree. The equal sign that we use is our substitute foe the rest of the tree, joining the two branches that we cannot see.


I have developed what I will call "The Displacement Principle". This is to show that, as I claimed in the theory, matter is just a different permutation of the infinitesimal alternating electric charges that make up space. The Displacement Principle is simply that when something displaces something else, it must mean that that which displaces and that which is displaced must both be of the same nature. This must be one of the fundamental self-evident principles of reality.

Suppose you fill a pail with water. Now suppose you place a brick in the pail of water. Some of the water, equal in volume to the brick, will be displaced. In other words, it will spill over the sides of the pail. This simple example actually proves that matter is only a different permutation of space.

Let's look at a few more examples of the displacement principle. If you can only live in one home at once and you move from one home to another, the new home must displace the old one. If your home has a driveway that can only hold one car, if you put a new car in the driveway it must displace the old one. If you can only have one pet and you get a new pet, the new one must displace the old one. The same applies to religion and political beliefs, a new one must necessarily displace the old one. The future means that a new permutation of reality has displaced the present one.

But notice that the displacement principle only applies to that which is of the same nature, which means that both operate by the same rules. Getting a new home does not affect the car. Getting a new pet has no effect on religion or political beliefs. Indeed, The Displacement Principle only applies to that which is of the same nature and has no effect on that which is not and must be considered as a fundamental and self-evident principle.

Now let's go back to space and matter and the Theory of Stationary Space. What do you notice about matter and space? They mutually displace. If we have vacant space and we put matter in it, the space is no longer vacant. But if we move the matter, then the space again becomes vacant. All matter mutually displaces, as seen by the brick in the pail of water, but space behaves in terms of displacement as if it is just another arrangement of matter.

I rest my case that matter is just a different arrangement of space, as described in the theory.