Another reason that fractals matter, and why I want to explore them, has to do with a very old spiritual quandary. Human beings have long imagined the possibility of an infinite being, a divine being, who is creator and sustainer of the universe, commonly known in our culture as God. Not all human beings resonate with this idea, and the details vary as to what God might be like, but most peoples have some sort of divine being or beings as a part of the stories and values of their culture. I have spoken of God as the larger Mystery of which we are a part.
Many human beings have also imagined that they can have a personal relationship with this divine Mystery. Most cultures have forms of prayer to entreat help from God, and forms of prayer to thank God for help given. Many people also directly experience the presence of the divine in their hearts, the intimate presence of the Mystery.
I know that I have had moments in my life when I felt held in the arms of divine love, that I felt cared for by a Mystery greater than myself. Those feelings are so tangible, that they help me get through my most difficult days. When I feel afraid, I can trust that all will be well, because of that tangible presence of love. When I feel overwhelmed, I can keep on walking forward, held in the memory of that love. But if God is infinite, or if the Mystery is all that is, how can that be? How can a Mystery as large as the universe connect to a being like me, small as a speck of dust?
Fractals have given me a new way to think about this spiritual dilemma. A fractal is a pattern that repeats itself, from an infinitely large scale to an infinitely small scale. What if God is a fractal? What if God is a pattern that repeats itself from the infinitely large to the infinitely small.
Here is how I imagine it. The divine pattern is a pattern of life and love and creativity—it expresses itself in the creative unfolding of the universe. It repeats in the attractions of planets and stars, and in the evolution of life itself. Because fractals continue to repeat in self-similar ways at all scales of size, the same divine pattern emerges at the size of our own human consciousness. We can find that pattern in our hearts, the expression of life and love and creativity. Thus we can find the Mystery in our hearts, as well as in the larger whole.
In this way, fractals offer a solution to the old quandary of an infinite God relating to a tiny human being. By understanding fractals, my intellect can make sense of what my heart experiences of the Mystery. It helps me to make sense of the tender feelings I feel, and to welcome their help for the troubles that life brings. I feel less lonely, when I feel connected to the divine love. It becomes possible to believe that I matter, that I am not just a speck of dust in a vast uncaring universe. I have within me the fractal beauty of the infinite Mystery.