Tuesday, January 4, 2011

A Simple Fractal Model of the Conscious Universe

A more complete, updated version of this article appears in Chapter 2 of the Simple Explanation book. Jump to that article by clicking here.

This blog's author recently gave an easy-to-understand 20-minute talk on this topic. Here's the blog article where you can view the Simple Fractal Model video.

In 1975, mathematician Benoit Mandelbrot coined the term “fractal” in the first published paper on fractal geometry. Despite some resistance from the mathematical community, it was soon discovered that fractal geometry is unparalleled at measuring and modeling the world of natural phenomena.
Here's the definition of fractals from Wikipedia: “A fractal is 'a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,' a property called self-similarity... Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms). Natural objects that are approximated by fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, snow flakes, various vegetables (cauliflower and broccoli), and animal coloration patterns.”





If you would like to see fractals in action, the  NOVA documentary, “Fractals,: Hunting the Hidden Dimension," gives an excellent overview of fractals.





At this point in the article, if you haven't already, you really should read the Basic Principles of the Simple Explanation of Absolutely Everything found in Chapter One of the Simple Explanation book, in order to acquaint yourself with the concepts and terminology.
• It has a fine structure at arbitrarily small scales.
• It is too irregular to be easily described in traditional Euclidean geometric language.
• It is self-similar (at least approximately or stochastically).
• It has a Hausdorff dimension which is greater than its topological dimension.
• It has a simple and recursive definition.
To put the Simple Explanation in fractal terms, our universe is populated by simple, recursive, self-similar structures of consciousness at arbitrarily small scales.  
As explained in Chapter 2 of the Simple Explanation, as our universe expanded, over and over and over again, pale echoes of God’s mind attached themselves to the particles streaming out of the Big Bang. These self-replicating Units of Consciousness (UCs) can be described as fractal emanations of the originating fractal formula--the Universal UC.

Whereas Mandlebrot's best-known fractal, the Mandlebrot Set, looks like this,
 
the fractal associated with the Simple Explanation of Absolutely Everything looks like this.

One interesting feature of fractal patterns is that no matter how closely you look, or how many calculations are performed, the pattern continues to replicate on smaller and smaller, and larger and larger, scales.

In the Simple Explanation, the enclosure of our material Universe is a Very Large toroidal pattern at the "outside" edge of creation. This would be the Universal pattern at its largest fractal scale, the Universal UC, akin to the singular void at the center of the Mandlebrot set. Drilling downward from greatest to smallest, the Units of Consciousness associated with sub-atomic particles are the smallest fractal expressions of the Universal set. These smallest material instantiations of creation pass from the realm of pure consciousness through causal energy to material instantiation through calculations of the Universal fractal formula. The crossover from pure consciousness to material instantiation occurs at the edge of an infinite series of ever smaller fractal divisions proceeding downward from the lower limit of material instantiation (Planck's constant), and then energetically finer and finer until energy is finally suspended in the infinite stillness of non-being, the Metaverse
In the Simple Explanation, the zero point at the center of the universal toroid is the source point where the pure undifferentiated consciousness of the metaverse is concentrated to singular manifestation. This is the crossover location between the undifferentiated unity and material creation. Some call it the Womb of Creation. From this zero-point, all organizing principles and laws enter our Universe and replicate their patterns upwardly through creation, from the very smallest sub-atomic particles to the largest galaxies, and then beyond, to the Very Large.
These replicating patterns and their hierarchical structure is explained more fully in the two articles, "My Self, the Governor of Whoville" and "Nested Hierarchies."   In personal terms, my Self UC is a fractal division of the Universal UC, and so is every UC associated with everything in my body. The fractal calculations occur at every hierarchical jump of organizational complexity.
The spiritual implication of this fractal model is this: the Universal UC ("God," "The Creator," "The Mother of 10,000 Things") may be visualized as both immanent and transcendent. Immanent within every one of my body's UCs, at the tiniest fractal crossover point at the center of each UC. Transcendent at the outer edge of the Very Large, where our Universal UC fractally nests against the infinite, undifferentiated Metaversal UC ("God the Father," "Sat," "Pure Consciousness," the "Undifferentiated Unity"). We humans are suspended thusly, a particular fractal emanation of, and located within, creation, yet patterned directly from pure consciousness.