FRACTAL ECONOMICS

  I have since published in 2023:  The (Koch snowflake) fractal demonstrates superposition: The (Koch Snowflake) fractal at shape equilibrium - assuming no interference from others and in perfect isolation from other fractals - demonstrates and is in a superposition state. It shows the infinite positions the 'same' triangles (or particles, information, or the rules) can be - in a cross-section view. Koch Snowflake in Superposition   Fractal zoom: infinity

The fractal record – like the fossil record that inspired its name – is a record of the ‘different’ (occurrences) of the ‘same’ (object or rule), not only through time - as in the fossil record - but through the present, the now. It is a record of the where? The examples - at all scales. This is to say that the fossil record is actually a fractal record - that traces the path of bones through time. The fractal record is based on laws of fractality (which I will release soon) and, most importantly, on the principle of ceteris paribus - setting all else constant. In this state, the only thing discernible, or true, is the object, as demonstrated below in the Koch snowflake development and the creator-scape. Of course, the fractal record is the foundation of language, knowledge, and science; it is universality. And I have great plans for it. Used correctly, we shall see that the discovery of the fractal was one of our great discoveries.

Ceteris Paribus - keeping all other factors equal or constant. Fractal Isolation This entry shows that fractals demonstrate that Ceteris Paribus exists in reality and has connections directly to our understanding of reality—even possibly at the atomic scale.   Ceteris Paribus  is a central assumption behind economic models and analysis—and, of course, unbeknown to others, all science itself. It assumes or sets all other factors equal or constant, allowing us to study the pattern of the object in question. Without it, the 'cause' and the 'effect' would not be discernible—or would be confused in the 'chaos'. I often explain to those outside economics that this is our way of achieving a controlled laboratory experiment. This is also seen as the weakness of economics, as we don't (really) live in a 'ceteris paribus' world; we live in chaos. I would strongly argue—again—that this is the weakness of all the 'sciences'. We may have theories, ...

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...

Just what's on my mind today: What is the connection between the Mandelbrot set and the bell-shaped normal distribution curve, or any distribution for that matter? I have been thinking about this for some time. I am surprised that fractals are not used to describe patterns. It came to me today while I was biking to work: Fractals are objects that describe the object through all scales; normal distributions or statistics need a parameter to function. For example, Stars are fractal and will not distribute without a parameter: when we add, say, star size, star colour, or distance, we get a distribution. So, I believe there is a very close relationship between the two. What is interesting is that distribution patterns are very fractal and absolutely universal. It is a goal of mine to understand this more, for there is more to it. Update Feb 2020 I wrote the above some time ago, but it is coming back to me now as I know more and have more questions. I am talking ...

Marginalism and Marginal Analysis are derived from the fractal (?) 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, and then the paper. I hope to have some collaboration 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 – repeating a simple rule – it appears to share direct properties familiar to classical economics, including production, consumption, and equilibrium. This paper investigated whether the mathematical principles behind ‘the market’ – known as marginalism – is an aspect or manifestation of a fractal geometry or attr...