FRACTAL ECONOMICS

    I would like to share with you a copy of this letter I received from Sir Edmund Hillary. In early 1996, I wrote to him asking whether he had met Neil Armstrong. At the time, I thought the two of them to be two of our greatest explorers (alive). I recall writing that if you hadn't, then maybe they should. Both continue to inspire me greatly.    

The expanding fractal    I have since published in 2023:  Abstract One of the great questions in modern cosmology today is what is causing the accelerating expansion of the universe – the so-called dark energy. It has been recently discovered this property is not unique to the universe; trees also do it, and trees are fractals. Do fractals offer insight to the accelerating expansion property of the universe and more? In this investigation, a simple experiment was undertaken on the classical (Koch snowflake) fractal. It was inverted to model and record observations from within an iterating fractal set as if at a static (measured) position. New triangle sizes were held constant, allowing earlier triangles in the set to expand as the set iterated. Velocities and accelerations were calculated for both the area of the total fractal and the distance between points within the fractal set using classical kinematic equations. The inverted ...