Consider Zero, if you will. What is zero if not an abstract idea, an elusive concept that you cannot see, nor hear, and certainly not touch, taste or smell. It is the stuff of dreams and nightmares. Imagine falling endlessly towards it, or away from it. That is, if it were only truly there. But can you divide by it? The correct answer depends upon your imagination.
Mathematicians argue over the reality of it, philosophers ponder its depth of it, and computer programmers hate it. One, Zero, One, Zero, On, Off. If it’s not there, it isn’t. This brings to mind a word puzzle I first encountered in the 1970’s when I was teaching electronics theory. It goes like this” “That That Is Is That That Is Not Is That Not It It Is”
Punctuate that Aristotle.
Now then, back to the discussion. If (and I use this two letter Satanic Hex with trepidation) the ubiquitous Zero is a concept upon which our most momentous scientific and cultural achievements have been constructed, then what of the One? Would you agree that it doesn’t matter at all what you choose to divide by Zero in order to prove possibility or impossibility. One represents the unity of all numbers and works equally well as any numbers.
Consider One, if you will. What is One if not the representation of singularity, an abstract idea, an elusive concept that you cannot hear, and certainly not touch, taste, or smell. It is the stuff of dreams and nightmares. Imagine falling endlessly towards it, or away from it. That is, if it were only truly there. Try to remember here that I am not speaking of the mathematical One, but the Singularity One.
Consider the paradox. Both Zero and One are abstract concepts in the minds of physicists like Stephen Hawkings and others. With gifted insight and logical powers, the singularity has become real, proved by the bending of light behind the Supermassive Blackholes of the universe. However, the point out, Supermassives exhibit an interesting phenomena. They spew out streams of ultra-high energy rays, and may tear the fabric of space-time while doing so. I’m not going to try to explain any of this, because I’m not qualified to do so.
Let’s go back to Zero, One, and division. Imagine One falling into the Zero. The One crosses the event horizon, represented by the horizontal line, and is broken into countless parts and disappears into what some argue is infinity, others the Planck Constant. Isn’t that what division does to any number? Break it down into its smallest component part? Hang on to this for a moment, if you will.
This works both ways. The Zero can just as easily fall into the One, which can be argued only results in the Zero, our abstraction from the first paragraph. The result is the same, in any circumstance. What is left of the One or the Zero is the event horizon. A representation of the division of a One by a Zero, and vice versa, which we will argue over forever, it seems.
Along the journey into singularity, some parts of the One are forced out at very high energy and velocity. There may be proof that some velocities exceed the speed of light, and their existence cannot be seen; only deduced.
Unseen light exhibits the same characteristics of visible light. Unseen matter, called dark matter is believed comprise most of the matter in the universe, but since we cannot see it or detect its presence, we can only postulate that it exists. In order to balance the equation, we must assume that unseen or perhaps dark energy exists as well. Once combined, there must be universe with all these characteristics.
The concept of division of a singularity by an abstract idea is fascination evolved. Place one above a line and consider it an event horizon. Next, place a zero beneath it. Imagination is the result.
Even more fascinating is the imaginary square root of a negative one. Go figure.