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 some 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 marginal areas (assumed to stand for utility) and the cost of production were graphed as the fractal grew and compared to a classical interpretation of diminishing marginal utility theory, and the market supply and demand. PED and PES was also calculated and analysed with respect to (iteration) time and decay. It was found the fractal attractor demonstrates properties and best models classical economic theory and from this it was deduced the market is a fractal attractor phenomenon where all properties are inextricably linked. The fractal, at equilibrium, appears to be a convergent – zeta function – series, able to be described by Fourier analysis, and involves Pi,

*i, e*, 0, and 1 (of Euler’s identity) in one model. It also demonstrated growth, development, evolution and Say’s Law – production before consumption. Insights from the fractal on knowledge and knowing are also revealed, with implications on the question of what exactly is ‘science’ – and what is ‘art’? A connect between reality and quantum mechanics was identified. It was concluded marginal, classical economics is an aspect of a fractal geometry.**Keywords**

Marginal, Fractal, Elasticity, Utility, Cost, Production, Price, Growth and Development, Say’s Law

**Original Post**

**Fractal Dimension and Elasticity - is there a connection?**

**I have found - after analysing the Koch Snowflake fractal with standard economic analysis - that there maybe a connection between Economics 'Elasticity coefficent' (which is a universal measure of the change in one variable to a change in another) - and the fractal dimension. That is to say, Price Elasticity of Demand (PED) is possibly the same as , or at least related to, the fractal dimension (D) - a measure of complexity. This may help explain the logarithmic nature of the demand curve.**

**Here's my reasoning:**

**Below you can also listen to a video blog of me on this topic too.**

**Recap: Marginal Analysis of the fractal**

In my last blog I established that the blue (MA) curve in Fig. 1 -

*showing the change in area in the 'Koch Snowflake' after an other iteration*- is mimicking or demonstrating something central to traditional marginal analysis and utility theory: that it maybe the origin of the consumer demand curve as we know it. The next question begs - what's the MA's elasticity?