The Opposite of Zero

This is a theory I have, and is not factual. But, I have not yet found anything that disproves it, That is why I'm posting it here. My theory, is on the opposite of zero. It a number in the same sense infinity is a number. Not something you can count to, but you know it's there.

Currently when you think of numbers, you see them as in a line. This way of thinking implies
that infinity and negative infinity are infinitely separated from each other. The number in which I am proposing (Not Zero?) is between these. At the point where infinity and negative infinity "touch"


Now, they don't actually touch, but touch in the same way you can say -10^(-infinity) and 10^(-infinity) touch. They are infinity close to each other. Each racing closer and closer to each other, meeting 0 in the middle. This number, (I'll be referring to if from now on as Not Zero, as I don't have an official name) is where infinity and negative infinity "meet," or rather, the number between them before they meet. The best way to think of it is to add another dimension to the number line. (1D becomes 2D, 2D becomes 3D, etc.) Now, imagine the number line as a circle instead of a line. This circle contains every non-imaginary number. Thus, it has an infinite circumference. Pick a point on the edge of this circle, Mark this point as zero. Now, moving clockwise around the circle, the numbers move towards negative infinity. Moving counter clockwise, the numbers move towards positive infinity. They both start at the same position, and move the same distance, (infinity) but in opposite directions. So when the do meet, it is on the exact opposite side of the circle. The farthest you could possibly get from zero. Not greater then infinity, and not less then negative infinity, but the number farther from zero then either negative infinity or positive infinity. Some infinities are bigger than others.

Looking at this in 2D may help explain a little better. Let's look at a basic y=1/x equation. As the two sides approach 0, they race upwards, and downwards infinity. But they never actually touch it. In fact, at the point of x=0, there is no data. A glitch. A divide by zero, responding in a hole. Though, what if we apply our circle logic, from above? Well, let's start at the left side, and move right. As we approach 0, We start moving downwards, into negative infinity. Faster and faster as we get closer to 0. At a single instance, no data, then we are suddenly at positive infinity. Still moving downwards, but slower, slower, slower, until we are back down below 5, and keep moving to the right away from zero. That instance where we have no data, could that have been Not Zero? It's like we took a single trip, all the way around the number line. Wait, we never reached zero, though!  Ah, but you're forgetting the horizontal line. As I said above, add another dimension. So 2D graphics, would turn into 3D. What's the 3D version of a circle? A sphere. The horizontal line makes the exact same trip around the sphere. Starting from he top, and moving to the bottom. It races right, passes through Not Zero, then comes back from the left side and keeps moving downward.

You can even do this with non-dividing equations, such as y=x. It's a simple equation that draws a diagonal line. But looking at it as a sphere, The line travels diagonally from zero, passes through Not Zero, and comes back around. Making a perfect loop around the sphere.

This would also explain the famous divide-by-zero error. Anything divided by zero, is NotZero. The farthest point from zero you can possibly get.