All posts tagged as mathematics

05 Feb

God is a Dirac Delta Function

In Essays by poeticinterconnections / February 5, 2009 / 13 Comments

Math scares me.

I can handle 2+2=4 well enough, and even some long division without a calculator, but higher math—differential equations, divergent series, multivariable calculus—makes my head hurt.

So I had a conflicted experience last week when I stumbled across something called the Dirac Delta Function. Named after Paul Dirac, a physicist and sort of ‘Original Gansta’ of quantum theory, the function is a math equation that yields zero for every number you plug into it, except when you plug in zero, in which case the answer becomes infinity!

Infinity only occuring at zero… I had no idea exactly what it all meant, but I smelled poetic interconnections between the Dirac Delta Function and religious mysticisms. Buddhists consider the true nature of things to be sunyata—emptiness. And Kabbalists describe God as ayin—a ‘nothingness’ (zero) with infinite potential to become anything and everything.

Math suddenly seemed like a fear worth facing…

I called a friend, Dawn Porter, Ph.D., University of Southern California math/statistics professor and co-author of the fabulously exciting text, Basic Econometrics. I begged for tutoring, and she generously obliged.

Here’s what I learned:

A math function can be used as a formula for exploring possibilities. Considered this way, functions are best visualized as graphs: The horizontal axis of the graph (the x axis) represents a range of possibilities, and the vertical axis of the graph (the y axis) represents the likelihood of any of those possibilities coming true. Here’s a visual:

 

 possiblities graph

 

The Dirac Delta Function yields a graph in which almost all values of x register a zero value on the y axis, which means there’s no chance of any of those possiblities coming true. The only value of x that gets any action is x=0. At x=0, the y value becomes infinity. So, paradoxically, when x is nothing, when there’s no possibilities at all, everything suddenly happens!

The darkest hour is just before the dawn… (No pun intended, Dawn!)

Here’s a cool animated GIF to illustrate that graph, courtesy of Wikipedia:

 

Dirac Delta Function

 

Now… Mystics the world over believe there’s a proportional correlation between ego and God. The more we identify with our self, our ego, the less room we have inside us for God. Thus, the more we empty ourselves of self-oriented wants and motivations, the more space divinity has to move into us and exercise its wants and motivations, which are always loving and groovy. Then we become Godlike.

With that in mind, let’s reconsider the animated graph, above. Imagine the horizontal x axis is your ego—your sense of self. Now imagine the verticle y axis is God. The Dirac Delta Function says that when x=0, when you become nothing, the value of God for you becomes infinite! But when you have any other value than zero, whether positive or negative, the possibility of God vanishes: When we concern ourselves with ourselves, divinity just can’t find good living space inside us.

I’m a born again math convert now… The Dirac Delta Function saved me! How about you?

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