FRACTAL ECONOMICS

Fractal Elasticity - along the straight line curve. Click to see the most recent developments that complement this entry. After discovering in my early blog that the elasticity of the Koch Snowflake fractal  is constant, I have since pondered what the meaning of all this is. Economic theory suggests that all objects have constant elasticity or are logarithmic in nature. The next step is to straighten out the fractal curves. I produced the following diagrams to do just that and to demonstrate the change in fractal elasticity as the fractal developments. The above diagram shows constant elasticity and the below variable elasticity along the straight (log) curve.

Continuing on from my earlier blog on fractal equilibrium : Koch Curve Animation From a fixed viewpoint: all fractals ('attractors')  form their shape (are at fractal equilibrium) at and around 7 plus or minus 2  iterations - any more than this will come at too high a cost, and with no extra benefit - as shown in the animation of the Koch Snowflake development above. The 5 iterations to develop the fractal Koch snowflake in Fig. 1 (below)—the point where the blue extra (Marginal) area (MA) and green extra (Marginal) cost (MC) intersect—correspond to the point  where the shape of the snowflake is fully developed.  I believe this is not only a demonstration but also an explanation for The Magical Number—Seven, Plus or Minus Two—and is also observable throughout our reality. From any standpoint, there will be around 4,5,6,7, or 8 levels of protrusion. For example, from where I am writing, I can see out my window a park and...

Update May 2017 This is by far my best idea; I have written it up in a working paper at  my academia.edu  and  vixra , and named it:   Quantum Mechanics, Information and Knowledge, all Aspects of Fractal Geometry and Revealed in an Understanding of Marginal Economics. I shall post the Abstract, followed by the original post, followed by the paper. I hope to have someone collaborate and review my work in time. Abstract Fractal geometry is found universally and is said to be one of the best descriptions of our reality – from clouds and trees to market price behaviour. As a fractal structure emerges  – the repeating of a simple rule –  it appears to share direct properties familiar to classical economics, including production, consumption, and equilibrium. This paper was an investigation into whether the mathematical principles behind ‘the market’ – known as marginalism – is an aspect or manifestation of a fractal geometry or attractor. Total and margin...