Let me tell a tale today, April Fool’s Day.
When Zero Equals Infinity (God’s Math)
Since we developed math to count definite things, and zero represents no things, it makes sense that we don’t commonly switch into a system where zero is the sum of all numbers, although it can be done. It just can’t be done half way. As the saying goes, it’s all or nothing. Either we can see zero as every number or we can see zero as nothing.
It is only logical, that a test of the value of zero has to be a genuine consideration of the value of zero. If we test zero as the sum of all numbers we must allow its usual value of “nothing” to change to a value equal to the summation of all numbers. Which means we assume zero to have a value greater than all other numbers. Do you see what I am saying? Its a bit radical. If we sum all numbers instead of cancel all numbers, we alter the entire value system, and suddenly we have what appears at first to be nonsensical. If zero is the greatest value; i.e., the sum of all numbers, what then is the value of the number one, or two? Which is greater, one or two, if zero is greater than both?
In what I shall now refer to as Symmetry Mathematics, the number zero is considered to be the everything of math. It is a complete and infinite value. In this system, there is a whole, and this means that the infinity of possible values is absolutely definitive, a definitive zero (like the physical reality of empty space), not merely a endless series or a process. In this new system zero is genuinely infinite, and as we remove a part from the infinite whole, we create definitive values which are themselves infinite as well. I can assure the reader that the applications of this system are as interesting as this system is unique. We can visually express this new system with the image below which shows the value or content of the number 2.
This new mathematical system is based upon a holistic perspective, its foundational axiom reflecting the innate singleness and wholeness of existence. Applied to the universe it would indicate that what we think of as empty space is really full and not empty. It would indicate that our universe is like a symmetry math number, definite, and yet infinite, but not yet the total infinite.
That point is a last number. I call the convergent sum for positive numbers Proto, which means first in time. Proto is a numeric representing positive infinity, here written +∞. I call the ultimate negative number Elea, the sum of all negative numbers. Obviously I derived the names from the proton and electron.
In treating a positive and a negative infinity as numbers, we then can write this simple equation:
+∞ + -∞ = ∞ = 0
Omega zero of symmetry math is infinitely large and contains all numbers, the expanding universe ultimately becomes a space that extends infinitely in all directions. Symmetry math is essentially a mathematical model of the Universe.
In symmetry math, infinity is no longer constrained to a never ending process, but rather the infinity of mathematical values is whole, bounded only by infinite extremes. Engulfing the finite, the entire symmetry mathematical plane is real, complete, and consequently quiescent and timeless. In symmetry math, zero represents everything, and because the smallest values of this system still represent half of the whole, we no longer confuse the nothings in this system with nonexistence.
In considering the new axioms of this system, we would not expect the values of the symmetry plane to be derived from an elementary first thing somehow emerging from nothing or an empty set, as is imagined of ordinary math. All is not magically arisen above nothing. In fact there is no axiom of nothing in symmetry math to imply a nonexistence, from which we question the existence of the rest.
And thereby hangs a tale. So, infinity is empty space. Agree? Disagree? Dunno? New Age spiritual mumbo jumbo?