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1. Prologue


Gottfried Wilhelm Leibniz(1646~1716), a renowned German mathematician, physicist and philosopher, has published a unique idea called 'Monadology'.
He thought that the universe consists of innumerable monads and a complete universe is reflected in each of them.

This is a metaphysical idea, but, if we apply this kind of view to the physical world, we might understand that it implicates a kind of fractal structure of the universe; when a particle contains another complete universe in it, such a universe must be again composed of much smaller innumerable particles, in each of which may another smaller universe repeat.
In a fractal structure, this process continues endlessly.

If the cosmos were really formed in a fractal structure, you could say that our universe might be a particle, too.
We may be living in a particle.
Such particles as the universe may exist innumerably.
And there may be a gigantic being which embraces those entire particle universes.

But, it may not be the end of all.
In fact, the gigantic being would be another particle in another greater universe.
Such a process would also continue endlessly in a fractal structure of the universe.

In the universe of fractal structure, infinity is the final answer.
'Infinity' is not only horizontally but also vertically infinite.

This kind of idea may be quite sensible in terms of philosophy, but, from the aspect of science, it should be nothing but a void rhetoric.
It has been so until now, but you will see the reality of the fractal universe in this essay.

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