This entry follows on from 'production of the fractal'.
Here I am suggesting that equilibrium - in any sense - is a fundamental of the fractal.
|Koch Snowflake development: source, Wikipedia|
Fig. 2b below, shows a closeup analysis of the fractal equilibrium, at least from a static point of view. MC intersects, or is equal to MA, at iteration 5 where the Area is equal to 1, due to the reciprocal of 1 itself being equal 1.
Any iteration less than fractal equilibrium will result in an imperfect (snowflake) shape or incomplete knowledge or information.
Any iteration point greater fractal equilibrium will result with little added gain in information or shape - and it will come at a great cost.
Perfect knowledge, or the perfect shape, is gained where MA =MC. This, it taken directly from economics theory, resembles where allocative efficiency is maximized - at the equilibrium point in market theory. Competition gives the best shape or knowledge, opposed to a monopolist that would produce or output somewhere left of equilibrium.
Notice Total knowledge will never be gained - the cost is too high.
*I am aware that the fractal demonstrates infinity, and thus shows the infinity of knowledge - of the rule. To say perfect information may well be a relative statement, said in context, or in a paradigm.
A theory of knowing?
Development of the little man is my attempt at understanding how we know: check out my theory of mind
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 some collaborate and review my work in time.