Showing posts with label integral. Show all posts
Showing posts with label integral. Show all posts

Thursday, November 20, 2014

Origin of Existence or Mathematical God


Our scientific model of the universe is based on Democritus’ concept of void and atoms with the addition of subatomic particles. The concept of the automatic appearance of matter predates Democritus when someone conjectured that life started when “the contraries separated out of nothingness”.  Today we believe that the universe consists of equal amount of matter and antimatter, positive and negative electrical charges, north and south poles and so on, so that the sum total of all opposite charges, matter and antimatter etc. is zero. If all the opposites come into contact the world will be neutralized and the void restored; only radiant energy including optical images of every thing that has ever happened in the world will remain travelling in space unless it can find a boundary from which it can reflect on itself with 180 degree phase shift and be annihilated.

The question now is what could have caused the initiation or precipitation of the contraries from nothingness. There must have been a singular event that caused the precipitation which may have stopped or may still be going on. Unfortunately, the belief in any kind of singularity seems to be contrary to scientific thought.

Zero was invented in the Orient while Infinity was invented in the Western world. In a way they are two extremes and opposites of each other and nobody seems to give much importance to their interrelationship. However, let us look at the relationships defining these terms:

1/0 = ∞
1/∞ = 0
So we can write
1 = 0 x ∞

At first sight it appears that the summation of an infinite number of zeros yields one. It is in keeping with the well-known integral calculus convention of constant of integration which can be expressed as ∫(1+0)dx = x+c where c is a constant whose value is ascertained by boundary conditions or cognitive inference.

However, if we look long enough at the above relationship it may be interpreted as meaning that an infinite expanse of nothingness inherently contains a unit of existence with the possibility of splitting, expanding, transforming and flourishing. In other words, existence is a property of the combination of nothingness and limitlessness. One can give it any name one likes.

The contraries may have emerged due to the square rooting of the unit yielding √1 = ±1.

A common example of the application of the square-root function in nature is the conversion of pressure into velocity as in the case of breathing.

The divine element seems to have been there in mathematics for ever and makes its presence felt in all exercises of integral calculus.