“Chaos theory is a field of study in mathematics, with applications in several disciplines including physics, engineering, economics, biology, and philosophy. Chaos theory studies the behavior of dynamical systems that are highly sensitive to initial conditions, an effect which is popularly referred to as the butterfly effect. Small differences in initial conditions (such as those due to rounding errors in numerical computation) yield widely diverging outcomes for chaotic systems, rendering long-term prediction impossible.”

Within this paper/chapter, we will be dealing with “Chaos Theory” and the “Butterfly Effect” as two separate sciences.

Back to basics and the first man to notice something odd.
Edward Norton Lorenz (May 23, 1917 – April 16, 2008)[1]
An American mathematician and meteorologist, pioneer of chaos theory.[2]

Lorenz was trying to predict the weather, using a very basic computer; he ran two sequences that should have created the same results. The results however were wildly diverging. The cause of this was due to Lorenz wishing to save time, so on the second run of the sequence or simulation he asked the computer count only two decimal pales instead of six: As such a figure of 7.777,777 would now read 7.78. These tiny differences threw everything into chaos.

Enter: Benoît B. Mandelbrot and: The Mandelbrot set (2) fractal

The Mandelbrot set fractal beautifully duplicates it shape each time it contracts. Its equation (z=z2+c) dictates no part of the equation can reach infinity.

So we have, rounding errors, causing chaos, we have a non chaotic fractal where its mathematics can never reach infinity that duplicates itself with perfect symmetry.

Following this to its natural conclusion we need to take rounding errors out of what ever discipline we are currently focusing on, in my case economics and business structures.

The simplest way to do this is to follow the fractal and build company structures and economies around numbers that can not reach infinity, thus largely or completely avoiding rounding errors. Further we follow the Mandelbrot fractal’s summitry in duplicating itself.

So we need to work within this sequence of numbers: 4, 8, 16, 32, 64 etc

If we consider all the other chaotic factors in economics: Human error, fraud, creative accounting, mischievous behavior, negligence, and general mistakes. One would be forgiven for thinking “what difference will a few tiny rounding errors make?, and it’s a fair question, but I wanted to solve the problem, so I did, at the time however I did not expect tangible results, a claim to suggest “Chaos Theory” is science.

So to the question, how does one build a business or economic structure around those numbers? Fortunately for 14 years I was a music programmer working as such I already had over 10,000 hours of experience working within a 4/4 framework, playing with quantizes within the discipline. That’s a lot of fours;

if I had to guess it was most likely this that inspired the resort development project I was linking to the project to be structured around this number sequence, before I knew what “Chaos Theory” was

New Sparta City of Science was already nicely divided into 16 Sub Cities, each containing 4 separate territories, each of which would cost $4 Billion. (More on this later)

So I had a starting figure of $4 Billion, what I needed to do was look to solve another riddle of “Chaos Theory”, four little words “long-term prediction impossible”.

Long term prediction, how do you predict a companies profit, or a countries profit, it seemed impossible, however…
The solution was actually very simple, box a company profits off at $4Billion, that’s plenty of dividends, all excess profit goes to staring a new company that will not form until it had $4Billion, which in turn is exchanged for 64th of one of the “Science Cities” and rights to start a new company and use the open source technology created in Science City.

This significantly increases the growth of Cities and as such the amount of staff and students, in return more advances are found, so companies become more profitable and more wish to join for the free technology so more cities are created, more science.

This model seam’s to be infinite, and maybe it is, one thing for sure it is definitely the basic framework for a Non chaotic Economic Structure, with results largely predicable as for +$4Billion companies we know exactly how much each company will make = $4 Billion